What is the equation in slope-intercept form of the line that passes
through the point (2, -2) and is perpendicular to the line represented
by y = }x+ 2?
Answers
The equation of the line is y = -x
Given Information:
The line passes through point (2,-2)
And the line is perpendicular to the line which is represented by y = x +2
Now, The equation of the perpendicular line is y = x +2, and let its slope be \(m_{1}\)
So, the slope of the perpendicular line is 1, \(m_{1} = 1\)
The product of the slopes of the perpendicular lines is -1
Let the slope of the required line be \(m_{2}\)
So,
\(m_{1} *m_{2} = -1\\1 * m_{2} = -1 \\m_{2} = -1\)
Now, the equation of the line is given by \(y - y_{1} = m (x -x_{1} )\)
Here, m = -1 and \(x_{1} = 2, y_{1} = -2\)
Putting these values in the general equation of the line, we get :
y - (-2) = -1(x -2)
y +2 = -x +2
y +x = 0
y = -x
Hence, The equation of the line is y = -x
To read about the equation of a line, visit https://brainly.com/question/21511618
#SPJ9
Related Questions
Help pleaseeeeeeeeeeeeeeeeeeewe
Answers
Answer:
263.76in^2
Step-by-step explanation:
210/360*3.14*12*12
7*3.14*12
263.76
What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
Answers
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
for such more question on domain
https://brainly.com/question/16444481
#SPJ8
A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted. The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07. Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Answers
Answer:
Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
Step-by-step explanation:
Here the Null hypothesis would be
H0: 87% of the graduates find full-time employment in their field within the first year of graduation
H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation
Here the p values is 0.07.
Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.
Hence, option A is correct
Since the p-value is greater than the significance level, the correct option is:
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
At the null hypothesis, it is tested if the proportion is still of 0.87, that is:
\(H_0: p = 0.87\)
At the alternative hypothesis, it is tested if it has decreased, that is:
\(H_1: p < 0.87\)
Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.
A similar problem is given at https://brainly.com/question/25831511
Suppose you play this game: you roll a fair six-side die. If it lands on 1, 2, 3 or 4, you have to pay $5. How much should you win for rolling 5 or 6 in order to make this game fair
Answers
Answer:
qoehdhdjsjehdyehrbd738475263883hdbdbdhd
7. What is the description of Z1 as it relates to the situation shown?
5
A. Z1 is the angle of elevation from the airplane to the radar tower.
B. Z1 is the angle of depression from the radar tower to the airplane.
C. Z1 is the angle of elevation from the radar tower to the airplane.
D. Z1 is the angle of depression from airplane to the radar tower.
Answers
s
Meet - fgo-cpwg-cnq
1. Luz rode her bike in the park
for 45 minutes and rode in her
neighborhood for 25 minutes . Luz
stopped riding her bike at 4:40 P.M.
12
11
10
9
60
2
3
8
5
7
6
Answers
Answer:
A. 3:30 pm
Step-by-step explanation:
45 + 25 = 70 --> 1 hour 10 minutes
4:40 minus 1 hour 10 minutes --> 3:30
Find two positive numbers whose product is 192 and whose sum is a minimum.
A. 3 and 64
B. 4\(\sqrt{3}\) and 16\(\sqrt{3}\)
C. 8 and 24
D. 8\(\sqrt{3}\) and 8\(\sqrt{3}\)
E. 12 and 16
Answers
Two positive numbers whose product is 192 and whose sum is a minimum are; 8√3 and 8√3.
The correct option is (D).
What is minima?Minima is the minimum value of a function in given domain.
First Order Derivative Test
Let f be the function defined in an open interval I and f be continuous at critical point c in I such that f’(c) = 0.
If f’(x) changes sign from negative to positive as x increases through point c, then c is the point of local minima. And the f(c) is the minimum value.
Given,
Product of two positive numbers = 192
Sum should be minimum
Let x be the first positive number and y be the other positive number. So, the equation would be
x . y = 192
⇒ y = 192/x --------(a)
Let S be the sum of the two positive numbers.
S = x + y
substituting value of y in terms of x from equation(a)
S = x + 192/x
⇒ S = x + 192 . x⁻¹
Differentiating with respect to x
S'(x) = 1 + (-1)192x⁻²
S'(x) = 1 - 192/x²
S'(x) = (x² - 192)/x²
To determine the minimum S, equating first derivative of S with respect to x to zero.
S'(x) = 0
(x²-192)/x² = 0
x² - 192 = 0
x² = 192
x = ±√192
Rejecting negative root, since the numbers are positive
x = √192
Substituting value of x in equation (a)
y = 192/√192
y = √192
x and y can be written as
x = √192 = 8√3
y = √192 = 8√3
Hence , 8√3 and 8√3 are the two positive numbers whose product is 192 and sum is a minimum.
Learn more about minima here:
https://brainly.com/question/12870695
#SPJ1
PLEASE HELP I NEED ASAP
Answers
Answer:
Option AStep-by-step explanation:
Given inequality:
x - 8 ≥ - 3Solve it:
x ≥ 8 - 3x ≥ 5The graph includes the number line to the right of 5 and the 5 is included, so this point is represented by a full dot.
Correct choice is A
Helloooo help me out thanks youuuuuu
Answers
Answer:
C. 162.5 sq ft.
Step-by-step explanation:
Given the following data;
S.A of smaller cylinder, S1 = 65 ft²
Ratio = 2:5 = 2 + 5 = 7
Let the total surface area be x.
S1 = 2/7 * x = 65
S1 = 2x = 65 * 7
S1 = 2x = 455
x = 455/2
x = 227.5 ft²
To find the surface area of the larger cylinder;
S2 = 5/7 * 227.5
S2 = 1137.5/7
S2 = 162.5 ft²
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answers
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²Write an equation for a line parallel to g(x) = 3x − 1 and passing through the point (4, 9)
Answers
Answer: y=3x-3
Step-by-step explanation:
To find a line that is parallel to the function, we know that the slope must stay the same. Parallel lines NEVER cross. This means the slope MUST be the same. All we have to change is the y-intercept. We can use the given point to find the correct y-intercept.
y=3x+b [plug in (4,9)]
9=3(4)+b [multiply]
9=12+b [subtract both sides by 12]
b=-3
Now, we know that the y-intercept is -3, we can put together our equation. y=3x-3
zachs orange paint is made by mixing 3 cups of red for every 5 cups of yellow. we know that Zach brought 24 cups of red paint. how many cups of yellow paint must he get to make his orange paint mixture?
Answers
For the information given in the statement you have
\(\frac{\text{number of cups of red paint}}{\text{ number of cups of yellow paint}}=\frac{3}{5}\)Then
\(\frac{3}{5}=\frac{24\text{ cups of red paint}}{\text{ x cups of yellow paint}}\)Solving for x
\(\begin{gathered} \frac{3}{5}=\frac{24}{x} \\ \text{Apply cross multiplication} \\ 3\cdot x=24\cdot5 \\ 3x=120 \\ \text{ Divide by 3 into both sides of the equation} \\ \frac{3x}{3}=\frac{120}{3} \\ x=40 \end{gathered}\)Therefore, he must get 40 cups of yellow paint to make his orange paint mixture.
Sam had 225 dollars to spend on 8 books. After buying them he had 17 dollars. How much did each book cost?
Answers
Answer:
Each book costs 26 dollars
Step-by-step explanation:
Let b be the price of each book
8*b +17 = 225
Subtract 17 from each side
8b+17-17 = 225-17
8b =208
Divide by 8
8b/8 = 208/8
b =26
Each book costs 26 dollars
5. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?
Answers
The number of points gained overall by Julia playing the game is 30 point
How to determine the number of points gained overall?From the question, we have the following parameters that can be used in our computation:
Tax paid for a new quest = 2.5 points
Total points gained playing the game = 75 points
The above parameters can be represented as
The number of points gained overall = Total points gained playing the game/Tax paid for a new quest
Substitute the known values in the above equation, so, we have the following representation
The number of points gained overall = 75/2.5
Express as a correct fraction
So, we have the following representation
The number of points gained overall = 750/25
Evaluate the quotients
So, we have the following representation
The number of points gained overall = 30
Hence, the number of points gained overall =is30
Read more about expression at
https://brainly.com/question/4344214
#SPJ1
A roller coaster car is going over the top of a 13-mm-radius circular rise. At the top of the hill, the passengers "feel light," with an apparent weight only 50 %% of their true weight. How fast is the coaster moving?
Answers
Answer:
0.253 m/s
Step-by-step explanation:
radius r of the circular rise = 13 mm = 0.013 m
apparent weight loss = 50%
acceleration of the new weight = 0.5 x 9.81 = 4.905 m/s^2
centripetal acceleration = 9.81 - 4.905 = 4.905 m/s^2
centripetal acceleration = \(\frac{v^{2} }{r}\)
where v is the acceleration at the rise and r is the radius of the rise
centripetal force = \(\frac{v^{2} }{r}\) = \(\frac{v^{2} }{0.013}\)
4.905 = \(\frac{v^{2} }{0.013}\)
\(v^{2}\) = 0.063765
v = \(\sqrt{0.063765}\) = 0.253 m/s
5 triangles are shown. Triangles 1 and 4 are identical. Triangle 2 has identical side lengths and angle measures but is rotated. Triangle 3 has a smaller base than triangles 1, 2, and 4. Triangle 5 is double the size of triangles 1, 2, and 4.
Which statement best describes one of these transformations?
Triangle 1 is rotated to result in triangle 2.
Triangle 1 is dilated to result in triangle 3.
Triangle 1 is reflected to result in triangle 4.
Triangle 1 is stretched to result in triangle 5.
Answers
A statement which best describes one of these transformations is that: A. triangle 1 is rotated to result in triangle 2.
What are the types of transformation?In Mathematics, there are four (4) main types of transformation and these include the following:
RotationReflectionDilationTranslationWhat is a rotation?In Mathematics, a rotation simply refers to a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Since triangle 2 has identical (similar) side lengths and angle measures, but is rotated and triangles 1 and 4 are identical, we can logically deduce that triangle 1 underwent a rotation to produce triangle 2.
Read more on rotation here: brainly.com/question/28515054
#SPJ1
b) 8xy +4y² factorise
Answers
Answer:
The answer is: 4y(2x+y)
Step-by-step explanation:
4.
Calculate 3% of $600
Answers
i used desmos calculator to calculate the answer
Hey there!
3% of $600.00
= 3% * $600.00
= 0.03 * 600
= 3/100 * 600/1
= 3(600) / 100(1)
= 1800/100
= 1800 ÷ 100 / 100 ÷ 100
= 18/1
= 18 ÷ 1
= 18
Therefore, your answer should be:
18
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Calculate the equivalent ratio 1.25 : 3.75 : 7.5
Answers
The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.
By multiplying each number in the ratio by 4, we get:
1.25 * 4 = 5
3.75 * 4 = 15
7.5 * 4 = 30
So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.
To more on ratio:
https://brainly.com/question/12024093
#SPJ8
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
Answers
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
for more such question on point visit
https://brainly.com/question/1859113
#SPJ8
Evaluate the function when x = 12.
{(-9, 1), (3, 4), (6, 2), (12, -6)}
A. -6
B.1
C.4
D.2
Answers
Answer:
It is the second one B
Step-by-step explanation:
Find the equation of the line that is perpendicular to the line -3x + 2y = 10 and goes through the point (0,8).
Answers
Answer:
zbzbssjsbzbzbzvzvzvvzv zgo zzbbbsbhdbdidnzzzin dndndn ghdhdgvhhshr vd
Step-by-step explanation:
eeegdbdhbdbdbdbddbdbbdbdbbdbdbdn
djdjdndd
djdjdjdisj
Step-by-step explanation:
1. Find the gradient from the equation of the line
2. Find the new gradient by taking the negative inverse of the old gradient in 1
3. Find the equation of your new line using the new gradient from 2 and your point
The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?
Answers
The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.
First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."
Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:
110% of T = 1.1 x T
Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:
Number of boxes = (1.1 x T) / 6
Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:
Total cost = (1.1 x T / 6) x R234
Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.
For more such questions on price
https://brainly.com/question/28420607
#SPJ8
I need help with this 2. Please help.
Answers
Answer:
\(m\angle BDC = 68\textdegree\)
Step-by-step explanation:
Using the given information, we can deduce that angles BDC and ADC are supplementary; their measures add to 180°.
This can be represented by the following equation:
\((-7x + 12)\textdegree + (-8x+48)\textdegree = 180\textdegree\)
First, solve for x.
\(-15x\textdegree + (12 + 48)\textdegree = 180\textdegree\)
\(-15x \textdegree = (180 - 60) \textdegree\)
\(-15x\textdegree = 120\textdegree\)
\(x\textdegree = -8\textdegree\)
\(x = -8\)
Then, substitute x into the expression for BDC.
\(m\angle BDC = (-7x+12)\textdegree\)
\(m\angle BDC = (-7(-8) + 12)\textdegree\)
\(m\angle BDC = (56 + 12)\textdegree\)
\(m\angle BDC = 68\textdegree\)
9 less than twice a number is 13. What is the number?
Answers
Answer:
11
Step-by-step explanation:
Answer:
x = 11.
Step-by-step explanation:
9 less than twice a number is the same thing as twice a number minus 9. Let's say that the number is x.
2x - 9 = 13
2x = 22
x = 11
Hope this helps!
What is the sum of the series?
5
Σ3i
i=1
Answers
Σ
6
1
(
3
i
−
1
)
-1 is repeated 6 times
Σ
6
1
(
3
i
)
−
6
=
3
(
1
+
2
+
3
+
4
+
5
+
6
)
−
6
=
3
(
21
)
−
6
=
63
−
6
=
57
Step-by-step explanation:
3 x 1, 250 expanded form
Answers
The Expanded form of 3×1=3 is 3
The Expanded form of 250 is 200+50+0
Expanded form is nothing more than a method for rewriting a number such that the digit values are included. A place value exists for each number. It calculates that digit's value based on where it is in the number. As we move from left to right in a number, a digit's value rises. In comparison to the digits on the right, the ones on the left have a lower place value. The position of the number is used to calculate each number's value. We can comprehend the place value notations if we read them from right to left.
250=200(hundreds place)+50(tens place)+0(ones place)
Therefore, the Expanded form of 250 is 200+50+0.
LEARN MORE ABOUT EXPANDED FORM HERE:
https://brainly.com/question/17921963
#SPJ9
f(x) = x2. What is g(x)?
Answers
Answer:
The Domain of g (x) = x2 is all the Real Numbers.
Step-by-step explanation:
The composed function is: (g º f) (x) = g (f (x)) = (√x)2. = x. Now, "x" normally has the Domain of all Real Numbers ... ... but because it is a composed function we must also consider f (x), So the Domain is all non-negative Real Numbers.
Use the distance formula to find the distance between the points given.(3,4), (4,5)
Answers
Solution:
To find the distance between two points, the formula is
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Where
\(\begin{gathered} (x_1,y_1)=(3,4) \\ (x_2,y_2)=(4,5) \end{gathered}\)Substitute the values of the variables into the formula above
\(d=\sqrt{(4-3)^2+(5-4)^2}=\sqrt{1^2+1^2}=\sqrt{1+1}=\sqrt{2}\text{ units}\)Hence, the answer is
\(\sqrt{2}\text{ units}\)Help please friendssssssssss
Answers
Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)
Step-by-step explanation:
(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):
(6/x)/(6/x+2)
I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->
(6 +2x)/x
Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)
This simplifies to: \(\frac{6}{6+2x}\)
(b) Domain is all real numbers except for what makes the denominator equal to 0. 6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.