Which is the equation of the line that passes through the points (-4, 3) and (2, -6)?
A. y= -3/2x + 3
B. y= -3/2x - 3
C. y = 3/2x + 3
D. y = 3/2x - 3
Answers
Answer:
B) y=-3/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-6-3)/(2-(-4))
m=-9/(2+4)
m=-9/6
simplify
m=-3/2
y-y1=m(x-x1)
y-3=-3/2(x-(-4))
y-3=-3/2(x+4)
y=-3/2x-12/2+3
y=-3/2x-6+3
y=-3/2x-3
Related Questions
Describe a series of transformations that moves the blue figure to the red figure Be specific! If there is a : Translation - show number and direction Reflection - give axis of reflection Rotation - give direction (clockwise or counterclockwise) and degree amount
Answers
The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).
Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))
Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))
Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))
The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).
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True or false -if the measure of an acute angle is x then its completely angle is (90 - x)
Answers
Answer:
False
Step-by-step explanation:
The measure of an acute angle is less than 90°
Which ones right ????
Answers
A survey of 132 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 66 of the 132 students responded "yes.". An approximate 98% confidence interval is (0.399, 0.601). How would the confidence interval change if the confidence level had been 90% instead of 98%
Answers
Answer:
For 90% CI = (0.428, 0.572)
For 98% CI = (0.399, 0.601)
The confidence interval (and Margin of error) reduces when 90% confidence level is used compared to when 98% confidence level is used.
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 66/132 = 0.50
Number of samples n = 132
Confidence level = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
0.50 +/- 1.645√(0.50(1-0.50)/132)
0.50 +/- 1.645√(0.001893939393)
0.50 +/- 0.071589436011
0.50 +/- 0.072
(0.428, 0.572)
The 90% confidence level estimate of the true population proportion of students who responded "yes" is (0.428, 0.572)
For 90% CI = (0.428, 0.572)
For 98% CI = (0.399, 0.601)
The confidence interval (and Margin of error) reduces when 90% confidence level is used compared to when 98% confidence level is used.
Please help me in this math problem
Answers
Answer:
Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!
1
A red die is tossed and then a green. die is tossed.
What is the probability that the red die shows a
number larger than 4 or the green die shows a
number less than 2?
The two events are not mutually exclusive. So to find the
probability of the union, use:
P(A or B) = P(A) + P(B) - P(A and B)
[?]
P(A or B)
=
8
P(B)
Green die
What is the probability of the red die rolling a
P(A)
Red die
+
-
8)
P(B)
P(A)
Red die Green die
number greater than 4?
Enter your answer in simplest form.
Enter
Answers
On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667
What is probability?A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.
red die, there are 3 numbers greater than 3 out of 6 numbers
Probability (A) = 3/6 = 1/2.
green die, there are 2 numbers less than 3 out of 6 numbers
Probability (B) = 2/6 = 1/3.
events are independent
P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)
16.67% probability = 0.1667
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Substituting the equation x = 4y – 12 into the equation -2y = x – 6 will produce the equation _________.
Answers
-2y = 4y-12 -6
Can y’all help me on question 24?!
Answers
Answer:
C
Step-by-step explanation:
:) glad I could help! Give Brainiest answer if you can! It doesn't cost you and it would make my day! :D
Answer:
b
helpful answer to your question
What are the X and Y intercepts of the equation below?
Y=3/2x -9
A. (0,-6) (9,0)
B. (-6,0) (0,-9)
C. (0,6) and (-9,0)
D. (6,0) and (0,-9)
Answers
WORK SHOWN BELOW!!
HELP PLEASE I’m having troubles!!!
Answers
1. The velocity at time t , v(t) = (18t² + 3 ) m/s
2. The velocity at time t = 3 seconds = 165 m/s
3. The acceleration at time t, a(t) =( 36t )m/s²
4. The acceleration at time t = 3 seconds = 108 m/s²
What is instateanou velocity and acceleration?The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
1. s(t) = 6t³ + 3t +9
to find the velocity at time t, we differentiate s(t)
= 18t² + 3
2. at t = 3s
= 18(3)² +3
= 165 m/s²
3. v(t) = 18t² + 3
to get the acceleration at time t, we differentiate v(t)
= 36t
4. when t = 3
a = 36 × 3
= 108 m/s²
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What is the next term of the geometric sequence? 1, 2, 4, 8, 16,
Answers
Answer: 32
Step-by-step explanation:
arccsc(\(\frac{2}{3}\)\(\sqrt{3}\))
Answers
The arc cossecant of the given value is of 30º.
Cosecant and arc cosecantThe cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:
cos(x) = 1/sin(x)
The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.
In this problem, the arc cossecant that is asked is:
\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)
Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.
Hence the numeric value of the expression is presented as follows:
\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)
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Graph $y=5x-2$y=5x−2 . LineMove UndoRedoReset
Answers
y = 5x - 2
graph:
(attached)
Tony and Edwin each built a rectangular garden. Tony’s garden is 4 feet longer and 5 feet wider than Edwin’s garden. If the perimeter of Edwin’s garden is 36 feet, what is the perimeter of Tony’s garden?
Answers
evaluate d+5-f if d +16 and f-18
Answers
Answer:
39
Step-by-step explanation:
d+5-f
Plug in the values of d and f
(16)+5-(-18)
Then simplify (Don't forget that since theres a double negative, that changes to a positive.)
21+18
39
Help I don’t get this
Answers
Answer:
3$
Step-by-step explanation:
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
Answers
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
Answers
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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(sec^2 theta-1)(csc^2 theta-1)
Answers
Answer:
1
Step-by-step explanation:
\(( { \sec}^{2} \theta - 1)( { \csc}^{2} \theta - 1) \\ \\ = { \tan}^{2} \theta. { \cot}^{2} \theta \\ \\ = 1\)
Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
Answers
From the second equation, we have y = 2 - x.
Substituting this into the first equation, we get:
Sax + b(2 - x) = 0
Expanding this equation, we get:
Sax + 2b - bx = 0
Rearranging the terms, we get:
x(Sa - b) = 2b
Dividing both sides by (Sa - b), we get:
x = 2b/(Sa - b)
Substituting this value of x into the second equation, we get:
2b/(Sa - b) + y = 2
Substituting y = 2 - x, we get:
2b/(Sa - b) + (2 - 2b/(Sa - b)) = 2
Simplifying this equation, we get:
4b/(Sa - b) = 2
Multiplying both sides by (Sa - b)/2, we get:
2b = (Sa - b)
Simplifying this equation, we get:
b = a/2
Substituting this value of b into the equation for x, we get:
x = 2b/(Sa - b) = 2(a/2)/(Sa - a/2) = a/(2S - 1)
Substituting these values of x and y into the given point (x, y) = (a + b), we get:
(a/(2S - 1), 2 - a/(2S - 1)) = (a + a/2, a/2)
Therefore, the solution is:
x = a/(2S - 1) and y = 2 - a/(2S - 1).
Select all the intervals that are only increasing throughout the function
Answers
The intervals that are only increasing throughout the function f(x) = \(\sqrt{x-4}\) is 4 < x < ∞ and 12 < x < ∞.
Given function:
f(x) = \(\sqrt{x-4}\)
x - 4 = 0
x = 0+4
x = 4
So x is increasing from 4 to infinity.
That is.
4 < x
x < ∞
4 < x < ∞ and 12 < x < ∞
Therefore The intervals that are only increasing throughout the function f(x) = \(\sqrt{x-4}\) is 4 < x < ∞ and 12 < x < ∞.
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A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the yard. Replace all variables (letters) with numerical values. length (meters) width (meters) area (square meters) 10 40 400 20 30 600 25 25 625 35 15 525 40 10 1600
Answers
10, 40, 400.
20, 30, 600.
25, 25, 525.
40, 60, 2400.
I think.
One bus leaves a stop every 15 minutes a second bus leaves the same stop every 20 minutes if they both leave at 3.20 pm at what time will they next leave together
Answers
Answer:
They will both leave a stop at 4:20 pm
Step-by-step explanation:
They start at 3:20 pm and one bus leaves 15 MIN every stop and the other one at 20 min.
at the times they stop they stop it will be:
15 min. 20 min
3:35. 3:40
3:50. 4:00
4:05. 4:20
4:20
Find the solutions of the equation in the interval [−2, 2]. Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.)
![Find the solutions of the equation in the interval [2, 2]. Use a graphing utility to verify your results.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/nqMz7rnkxU09p5mJJMgARJVmjeHdheNO.png)
Answers
The value of x for the given trigonometric function is (15/18)π.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right angle.
As per the given,
secx = (-2√3)/3
1/cosx = -2/√3
cosx = -√3/2
x = 150° = (15/18)π
Thus, x goes into the second quadrant as shown below.
Hence"The value of x for the given trigonometric function is (15/18)π".
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![Find the solutions of the equation in the interval [2, 2]. Use a graphing utility to verify your results.](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/mjIYj9BFYKW8XBuqocwV6Jcygo1kpB9d.png)
A data set lists the weights of puppies. Which of the following charts could be used to display the data, and why?
A) Bar chart, because the data is categorical
B) Bar chart, because the data is numerical
C) Line plot, because the data is categorical
D) Line plot, because the data is numerical
Answers
Option D. The most appropriate chart for displaying the weights of puppies is a line plot, as the data is numerical.
A line plot, also known as a dot plot, is a chart used to display the distribution of a set of numerical data. Each data point is represented by a dot or a symbol placed above its value on a number line. For a data set of weights of puppies, a line plot can show the range of weights and the frequency of weights.
A bar chart is typically used to display categorical data, such as the number of puppies of each breed in a litter or the number of puppies with different coat colors. Bar charts use bars to represent the categories and their corresponding values.
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6th grade ratios 50 pts
Answers
Answer:
13 milliliters
Step-by-step explanation:
it is 13
BRAINIEST TO WHOEVER CAN ANSWER THIS QUESTION!
Answers
Answer:B
Step-by-step explanation:
Step-by-step explanation:
This is a circle with center, h,k = 3,2 and radius = 2
circle equation is ( x-h)^2 + (y-k)^2 = r^2
so:
(x-3)^2 + (y-2)^2 = 4
John earned $45.90 during the summer break. He used 1/6 of the money to buy trading cards. Then, he used 3/5 of the remaining amount to buy a sketchbook, and also spends $4.50 on comic books. How much money does John have left after these purchases? $1180
Answers
The amount John have left after purchase is $10.8.
Amount John have leftJohn earned $45.90 during the summer break.
He used 1 / 6 of the money to buy trading card. Then he used the following amount to buy the trading card.
1 / 6 × 45.90 = $7.65Then, he used 3/5 of the remaining amount to buy a sketchbook, and also spends $4.50. Therefore, the total he spends can be computed as follows:
3 / 5 × (45.90 - 7.65) + 4.50 = 22.95 + 4.50 = $27.45So, He spent
$7.65 on trading cards$22.95 on sketch book$4.50 on comic book.The amount he has left = 45.90 - 7.65 - 22.95 - 4.50 = $10.8
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triangle.
A,
angle CAB = 90°, angle ABC = 52° and AC = 9.2.
Calculate the length of BC rounded to 3 SF.
Answers
\(\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}\)
\(\\ \rm\Rrightarrow sin52=\dfrac{AC}{BC}\)
\(\\ \rm\Rrightarrow sin52=\dfrac{9.2}{B C}\)
\(\\ \rm\Rrightarrow B C=\dfrac{9.2}{sin52}\)
\(\\ \rm\Rrightarrow B C=9.3\)
Answer:
11.7 (3 s.f.)
Step-by-step explanation:
Given information:
∠CAB = 90°∠ABC = 52°AC = 9.2As one of the given angles is 90°, the triangle is a right triangle.
Draw the triangle using the given information (see attached) to help visualize the problem.
To calculate the length of BC, use the sine trigonometric ratio:
\(\sf \sin(\theta)=\dfrac{O}{H}\)
where:
\(\theta\) is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the attached triangle:
\(\theta\) = 52°O = AC = 9.2H = BCSubstitute the values into the formula and solve for BC:
\(\implies \sf \sin(52^{\circ})=\dfrac{9.2}{BC}\)
\(\implies \sf BC=\dfrac{9.2}{\sin(52^{\circ})}\)
\(\implies \sf BC=11.67496758...\)
\(\implies \sf BC=11.7\:\:(3 \:s.f.)\)
Therefore, the length of BC is 11.7 (3 s.f.).
