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Len [333]
3 years ago
7

How does the rate of change vary from point to point?

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}

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Find the distance between E(-3,4) and B(-1,6)​
Marrrta [24]

Answer:

The answer is

<h2>2 \sqrt{2 }  \:  \: or \:  \: 2.828 \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-3,4) and B(-1,6)

The distance between them is

<h3>|EB|  =  \sqrt{ ({ - 3 + 1})^{2} +  ({4 - 6})^{2}  }  \\  =  \sqrt{ ({ - 2})^{2}  +  ({ - 2})^{2} }  \\  =  \sqrt{4 + 4}  \ \   \\  = \sqrt{8}</h3>

We have the final answer as

<h3>2 \sqrt{2 }  \:  \: or \:  \: 2.828 \:  \:  \: units</h3>

Hope this helps you

4 0
3 years ago
WILL MARK BRAINLIST
iren [92.7K]

Answer:

See below.

Step-by-step explanation:

1/2 = shrink by a factor of 1/2.

+7 = moved up 7 units.

8 0
3 years ago
Pls someone help me im in a test and im stresssssing??
Dennis_Churaev [7]
Positive 5/8 hope this helps :) uno reverse btw lol
3 0
3 years ago
Can someone pls help me?
kirza4 [7]

Answer:

\frac{8}{24}

Step-by-step explanation:

If Adam's family uses 8lb of apples to make pie. We know that 3 x 8 = 24, so it's probably approximately 3 out of 18.

5 0
2 years ago
I need help finding values of x,y,z. I want to know if there is an answer apart from 0, since that is what I need to find. Thank
vichka [17]

Answer:

They all equal zero

Step-by-step explanation:

A number cannot equal itself times any number that isn't zero, unless it itself is zero.

3 0
2 years ago
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