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Vikentia [17]
3 years ago
6

Find an equation of the line perpendicular to the graph of 14x-7y=8 that passing through the point at (-2,5).

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0

Answer:

2x + 4y = 16.

Step-by-step explanation:

14x - 7y = 8

Convert to slope-intercept form:

-7y = -14x + 8

y = 2x - 8/7

The slope is 2 so the line perpendicular to it has a slope of -1/2, so we have:

y = 1/2x + c

This line passes through the point (-2, 5) so:

5 = -1/2* (-2) + c

5 = 1 + c

c = 5 - 1 = 4

So our equation is y = -1/2x + 4.

Convert to standard from

4y = -2x + 16

2x + 4y = 16.

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Find dy/dx by implicit differentiation and evaluate the derivative at the given point.xy = 12, (-4, -3)
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Xy=12
xdy/dx + y = 12
xdy/dx = 12 - y
dy/dx= (12-y) /x
dy/dx | x=-4 ,y=-3 = (12-(-3))/(-4)
= (12+3)/-4 = -15/4
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3 years ago
You can buy a 20 pound bag of dog food for Doo.<br> What is the cost per pound?
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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people ans
Bond [772]

If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.

<h3>What is Mean?</h3>

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.

Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.

Then the mean of the sample will be

\rm Mean = \dfrac{1}{N} \times \Sigma _{i}   \ \ x_if_i

Then the table is given below.

Then we have

\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75

More about the mean link is given below.

brainly.com/question/521501

#SPJ1

5 0
2 years ago
Park Rangers at the North Rim of the Grand Canyon recorded the amounts of rainfall over 12 months. What was the total amount of
myrzilka [38]

Answer:

65.532cm of rainfall over 12 months

Step-by-step explanation

5 0
3 years ago
Solve for aaa: a-\left(-3.75\right)=6.11a−(−3.75)=6.11a, minus, left parenthesis, minus, 3, point, 75, right parenthesis, equals
Ganezh [65]

Answer:

Step-by-step explanation:

                              To isolate <em>a</em>, we add -3.75 to both sides.

                                              <em>a</em>-(-3.75)=6.11

                                   <em>a</em>-(-3.75)<u><em>+(-3.75)</em></u>=6.11<u><em>+(-3.75)</em></u>

                                                           <em>a</em>=6.11<em><u>+(-3.75)</u></em>   Simplifying, we get:  

<em>a</em>=2.36

(I got this from khan)

4 0
3 years ago
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