Find the sum.
(4x² + x − 4) + (2x² + 4x + 5) =
20 POINTS PEASE
Answers
Answer:
6x² + 5x + 1
Step-by-step explanation:
(4x² + x − 4) + (2x² + 4x + 5)
1. Expand the brackets to get
4x² + x − 4 + 2x² + 4x + 5
2. Group common terms (terms with same power as well as the constant)
4x² + 2x² + x + 4x - 4 + 5
3. Simplify
4x² + 2x² = 6x²
x + 4x = 5x
-4 + 5 = 1
4. Solution is
6x² + 5x + 1
Related Questions
1. A restaurant supplier services the restaurants in a circular area in such way that the radius r is increasing at the rate of 2 miles per year at the moment when r = 5 miles. How fast is the area increasing?
Answers
Answer:
A= π*r²
dA/dt= π*r*dr/dt
dA/dt= π*5*2= 10π km/yr
Using implicit differentiation, it is found that the area is increasing at a rate of 62.8 miles squared per year.
The area of a circle of radius r is given by:
\(A = \pi r^2\)
Applying implicit differentiation, the rate of change is given by:
\(A = 2r\pi \frac{dr}{dt}\)
In this problem:
Radius increasing at a rate of 2 miles per year, hence \(\frac{dr}{dt} = 2\).Moment of a radius of 5 miles, hence \(r = 5\).Then:
\(A = 2r\pi \frac{dr}{dt}\)
\(A = 2(5)\pi(2)\)
\(A = 62.8\)
The area is increasing at a rate of 62.8 miles squared per year.
A similar problem is given at https://brainly.com/question/9543179
Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x-3)(x-1)(x+1).
Answers
The graph of the function f(x)=(x-3)(x-1)(x+1) is given by the image presented at the end of the answer.
How to construct the graph of the function?The function for this problem is defined as follows:
f(x)=(x-3)(x-1)(x+1).
The product is written as a product of it's linear factors, hence the x-intercepts are given as follows:
x = 3.x = 1.x = -1.The y-intercept of the function is given as follows:
f(0) = -3(-1)(1) = 3.
The end behavior is given as follows:
Decays to left, as negative infinity cubed is negative.Increases to right, as infinity cubed is positive.More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Which of the following is most likely the next step in the series?
)DO
O A.
• B.
•
Answers
Following the pattern, the most likely next step in the series is given by the pentagon in option B.
What is the most step for the series?We have to look at the number of points in each figure, hence:
The first figure, with the line segment, has two points.The second figure, with the triangle, has three points.The fourth figure, with the rectangle has four points.Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.
Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:
Option A has one point.Option C has four points.Option D has three points.Hence, the most likely next step in the series is given by the pentagon in option B.
More can be learned about patterns at https://brainly.com/question/27033681
#SPJ1
Question #6
Show steps
Correct answer is A
Answers
We'll first need to determine what the composite function f(g(x)) is equal to.
Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2
So we get the following:
\(f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\\)
Next, we apply the derivative
\(f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\\)
Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.
The last thing we do is plug in x = 3 and simplify.
\(f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\\)
Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with \(f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\\); however, your teacher has chosen not to rationalize the denominator.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
Answers
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
More can be learned about transformations at https://brainly.com/question/28687396
#SPJ1
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
Answers
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Learn more about temperature here:
https://brainly.com/question/25677592
#SPJ8
ssume all information in example 1 above and the following additional information: Actual data for job 201 is give is given belowActual shirts completed for job 201………………2,000 shirtsActual direct material cost used………………...$30,000Actual direct cost incurred……………………...$20,000Actual direct labor hours used…………………. 400 hoursActual machine hours…………………………. 240 hoursInstruction: compute the applied factory overhead and determine the total cost of job 201 under each of the five bases. A) Physical output as allocation baseDirect materials cost as allocation base Direct labor cost as allocation base Direct labor hours as allocation baseMachine hours as allocation base
Answers
The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.
Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.
Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.
Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $30,000*120% = $36,000.
Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.
-Direct labor cost as allocation base:
The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $20,000*120% = $24,000.
Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Direct labor hours as allocation base:
The actual direct labor hours used in job 201 is 400 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.
Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.
-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.
The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.
The applied overhead cost for job 201 is $24*240 hours = $5,760.
Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.
For more such questions on cost visit:
https://brainly.com/question/31479672
#SPJ8
Samantha is training to be a paramedic.
She works in the emergency room
of a hospital as part of the training
requirements. So far, she has completed
619 hours. If Samantha worked a total of
58 days so far, about how many hours
did she work each day?
Answers
find equivalent expressions of 3+2x-9-4x+11+5x-x
Answers
Answer:
3 - 4x + 2x + 11 + 5x - 9 - x = 3 + (2x - 4x) + (5x - x) + 11 - 9 = 3 + -2x + 4x + 11 - 9 = 3 - 2x + 2 = -2x + 5
What is the domain of the equation?
Answers
The domain of the equation include the following: D. all real numbers.
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
How to identify the domain any graph?In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-4, ∞}
Read more on domain here: brainly.com/question/9765637
#SPJ1
if sample size is large can we use z insteed of t distribution for given sample mean and sample standard variance
Answers
If the sample size is large (typically n > 30), then it is generally appropriate to use the standard normal distribution (z-distribution) to approximate the sampling distribution of the sample mean.
What are the standard's mean and variance?
Standard deviation is the square root of the number, while variance is equal to the average squared deviations from the mean. Additionally, the variance's square root is the standard deviation.
This is because as the sample size increases, the Central Limit Theorem states that the sample mean will become more normally distributed, regardless of the underlying distribution of the population.
This is due to the fact that the standard error of the sample mean, which is the standard deviation of the sampling distribution of the mean, decreases as the sample size increases. When the sample size is large, the sample mean will be approximately normally distributed with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.
However, it is important to note that in order to use the z-distribution to approximate the sampling distribution of the sample mean, it is necessary to know the population mean and population standard deviation. If these values are not known, it is appropriate to use the t-distribution, which does not require knowledge of the population parameters.
Learn more about mean and sample standard variance
https://brainly.com/question/475676
#SPJ4
How many solutions are in the equation and are they imaginary or real?
9x^2- 3x - 8= -10
Answers
Since 369 is positive, the solution will be real. Also the solution will be irrational and conjugates of each other as 369 is not a perfect square.
See attachment for more details.
45. A 5-foot log leans against a wall and inclines at a 45° angle from the ground. What expression will
solve the distance between the base of the log to the base of the wall?
A. sin 45
B. cos 45
C. tan 45
D. csc 45
46. What trigonometric ratio can we use to solve for the height of a building given the distance between
the observer and the base of the building and its angle of elevation?
A. Sine
B. Cosine
C. Tangent
D. Secant
47. With the sun, a girl 1.4 m tall casts a 3.6 m shadow. Find the angle of elevation from the tip of
the shadow to the sun.
A. 18°
B. 19°
C. 20°
D. 21°
48. What formula is used to solve the problem: "Find zB in an oblique triangle ABC with the
following measures: A = 50°, a = 15 and b = 10."
A. Sine Law
B. Cosine Law
C. Tangent Law
D. Cosecant Law
49. In an oblique triangle XYZ, ZX = 63°, x = 139 and y = 140. Find
A: 100°
B. 64°
C. 60°
D. 45°
50. What formula will solve: "Jackie and Peter skate apart with an angle of 15° between them.
Jackie skates for 5 meters and Peter skates for 7 meters. How far apart are the skaters?
A. d² = 52+72-2(5)(7) cos 15
C. 7² = 52+d²-2(5)(d) cos 15
B. 52= d²+72-2(d)(7) cos 15
D. 152=52+72-2(5)(7) cos
Answers
Answer: it was be cos4
Step-by-step explanation: 1/2 divided by 3/4 = cos4
The quantities X and Y are proportional find the constant of proportionality (r) in the equation y=Rx
Answers
Answer:
y/x = R
Step-by-step explanation:
The two quantities x and y are proportional means they have a relation.
The equation is;
y= Rx ------to find the proportional R you make R the subject of the formula;
y/ x = R
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
g(7) = 16
Step-by-step explanation:
The domain definitions in this piecewise function tell you that the third (bottom) piece applies when x=7.
g(7) = (7+1)(7-5) = (8)(2)
g(7) = 16
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
PLEASE HELP. I don’t understand
Suppose that voting in municipal elections is being studied and four people are randomly selected. The accompanying table provides the probability distribution
where x is the number of those people that voted in the last election.
Answers
The unusual outcome from this discrete probability distribution is given as follows:
x = 4.
What are unusual events?In a discrete probability distribution, unusual outcomes are those outcomes which have a probability having a value lower than 0.05 = 5%.
From the given table, the probabilities for the events x are given by P(x), as follows:
x = 0 -> P(x) = 0.23.x = 1 -> P(x) = 0.32.x = 2 -> P(x) = 0.26.x = 3 -> P(x) = 0.15.x = 4 -> P(x) = 0.04.Hence the lone unusual outcome is given by x = 4, as it is the lone probability that is lower than 0.05.
None of the other events are unusual, as all of them have probabilities that are greater than 0.05 = 5%.
More can be learned about unusual outcomes in a distribution at https://brainly.com/question/16716526
#SPJ1
Find c such that (-5, -3), (10, 1), and (c, -9) lie on a line.
Answers
well, we know all three points are colinear, so the slope from the first two points is the same slope from either to the (c , -9) point, let's check the slope of the first two points given
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{1})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-5)}}} \implies \cfrac{1 +3}{10 +5}\implies \cfrac{4}{15}\)
so then, the slope from say hmmmm let's use (-5 , -3), the slope from (-5 , -3) and (c , -9) must also be the same 4/15
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{c}-\underset{x_1}{(-5)}}} \implies \hspace{5em}\cfrac{-9 +3}{c +5}~~ = ~~\stackrel{slope}{\cfrac{4}{15}}\implies \cfrac{-6}{c+5}=\cfrac{4}{15} \\\\\\ -90=4c+20\implies -110=4c\implies \cfrac{-110}{4}=c\implies -\cfrac{55}{2}=c\)
What the meaning of "a sequence of length n"?
Answers
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
Read more on sequences here https://brainly.com/question/6561461
#SPJ1
Ver en español
Pam, the CEO of Zettabyte Tek, set up a $750,000 education fund. She wants to give each employee who takes a computer security class a $350 reimbursement toward the cost of the class. You can use a function to describe the amount of money left in the fund after x employees receive the reimbursement.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.
Answers
The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).
What does a simple equation represent?An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.
Workers who complete the computer security course will each receive a reimbursement of $350.
We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.
Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.
To know more about equation visit:
https://brainly.com/question/29657983
#SPJ1
Twice the difference of a number and three is the sum of that number and four
Answers
Answer:
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
We can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=xWe can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=x
A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
51.8 in2
99.3 in2
595.8 in2
794.4 in2
Answers
The minimum amount of plastic wrap needed to completely wrap 8 containers is 794. 4 in². Option D
What is the minimum amount?The area of each circular end is:
A = πr²
A = 3.14 × (2.75)²
A = 23.68in²
The area of the rectangular side is:
A = h * circumference
circumference = 5.5in * π
circumference = 17.27in
Using the given height of 3 inches, we get:
A = 3in * 17.27
A = 51.81in²
Therefore, the total surface area of each container is:
A = 2 * 23.68 + 51.81
A = 98.17in²
To wrap 8 containers, we need to multiply the surface area of each container by 8:
Total surface area = 8 × 98.17
Total surface area = 794. 4 in²
Learn more about cylinders at: https://brainly.com/question/9554871
#SPJ1
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
Answers
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
Learn more about integrations here:
https://brainly.com/question/30217024
#SPJ1
A pair of $100 sneakers was on sale for 50% off. Then the store manager marked them down another 30%. She then discounted that price by 20%. What is the total discount as a percent of the original price? Please explain.
Answers
Answer:28
Step-by-step explanation:
100-50%=50
50-30%=35
35-20%=28
the answer is 28
The total discount as a percent of the original price is 72%.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The initial price of the sneakers was $100.
After the first discount of 50%, the price becomes:
$100 - 50%*$100 = $50
Then, the store manager marks down the price by another 30%:
$50 - 30%*$50 = $35
Finally, the discounted price is reduced by 20%:
$35 - 20%*$35 = $28
Therefore, the total discount is:
$100 - $28 = $72
The discount as a percent of the original price is:
$72/$100 * 100% = 72%
Thus,
The total discount as a percent of the original price is 72%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
Consider the line y = 7x-1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answers
What is the slope of a line
parallel to this line?
What is the slope of a line
perpendicular to this line?
Hi, there!
______
\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)
How are the slopes of parallel lines related to each other?How are the slopes of perpendicular lines related to each other?(1)
- The slopes of parallel lines are identical.
{The line \(\sf{y=7x-1}\) has a slope of 7}
Thus,
{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}
(2)
- The slopes of perpendicular lines are negative inverses of each other.
The negative inverse of 7 is
\(-\dfrac{1}{7}\).
Therefore,
\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)
Hope the answer - and explanation - made sense,
happy studying!! \(\tiny\boldsymbol{Frozen \ melody}\)
MARKING AS BRAINLIST PLS HELP!! 15 points ASAP
Answers
Answer:
Set your calculator to Degree mode.
55^2 = 90^2 + 50^2 - 2(90)(50)cos(C)
3,025 = 10,600 - 9,000cos(C)
-7,575 = -9,000cos(C)
cos(C) = 101/120
C = cos^-1 (101/120) = 32.7°
Jorge is hiking a trail that is 2½ miles long. He hikes 13 miles before resting.
How much farther does he have to hike?
O A.
mile
OB.
B. mile
O C.3 mile
OD. mile
Answers
By taking a difference between mixed numbers, we can conclude that the distance left is 5/8 of a mile.
How much farther does he have to hike?We know that the total length of the trail is 2½ miles, and Jorge hikes 1⁷/₈ miles before resting.
So the distance that he has left is equal to the difference between 2½ miles and 1⁷/₈ miles.
Remember that the mixed numbers can be rewritten as:
2½ = 2 + 1/2
1⁷/₈ = 1 + 7/8
So we need to find the difference:
(2 + 1/2) - (1 + 7/8) = ( 2 - 1) + (1/2 - 7/8)
= 1 + (4/8 - 7/8) = 1 - 3/8
Now we can simplify this so we get a single fraction:
1 - 3/8 = 8/8 - 3/8 = 5/8
From this, we can conclude that the distance left is 5/8 of a mile.
If you want to learn more about mixed numbers:
https://brainly.com/question/1746829
#SPJ1
Which set of angle measures can be used to construct an acute scalene triangle?
Answers
Answer:
C = 36°, 57°, 87°
Step-by-step explanation:
scalene = all angles are different.
acute = all angles are under 90°.
triangle = all angles add up to 180°.
The only option that works for this is C) 36°, 57°, 87°
A rental car company charges a fee of $150.00 for renting a car for a week plus $0.25 per mile driven.
Answers
Answer:
y = 150z + .25x
y = $ amount of rental
z = weeks rented
x = miles driven
i hope this helps :)