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pashok25 [27]
2 years ago
10

A. Find the slope of the line that passes through the points (2,-5) and (-2,3).

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
8 0

PART A:

Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2

PART B:

Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.

PART C:

Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.

PART D:

We can use point-slope form first:

y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.

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Answer:

SB or ? = 9

Step-by-step explanation:

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[Scale factor between ∆BCU and ∆SUT]

SB or ? = 12 – 12/<u>4</u> = 12 – 3 = 9

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Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a
Zielflug [23.3K]

Answer:

The area of the associated sector is \frac{25}{24}\pi \ in^{2}  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

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C=2\pi r

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5\pi=2\pi r

r=2.5\ in

step 2

Find the area of the circle

we know that

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A=\pi r^{2}

we have

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A=\pi (2.5^{2})=6.25\pi\ in^{2}

step 3

Find the area of the associated sector

we know that

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3 years ago
The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin
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We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

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3 years ago
Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A
valentina_108 [34]
<h3><u>Answer:</u></h3>

The formula determine the distance from C to D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

<h3><u>Step-by-step explanation:</u></h3>

The formula that can be used to determine the distance from point C to point D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

\sqrt{(c-a)^2+(b-d)^2}

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Answer:

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