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Katena32 [7]
4 years ago
14

Find the midpoint of the line segment with the given endpoints. 1) (-8, 3), (-8,-4)

Mathematics
1 answer:
defon4 years ago
4 0

Answer:

The answer is

<h2>( - 8 \: , \:  -  \frac{1}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} ) \\

where

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

From the question the points are

(-8, 3), (-8,-4)

The midpoint is

M = ( \frac{ - 8 - 8}{2}  \:   , \:  \frac{3 - 4}{2} ) \\    = ( -  \frac{16}{2}  \: , \:  -  \frac{1}{2} )

We have the final answer as

( - 8 \: , \:  -  \frac{1}{2} )

Hope this helps you

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First square both sides to get:

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or

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Move the terms on the left side to the right side:

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Factor to get:

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The solutions are c = -6 and c = 3.

Check to see if these answers work by plugging them into the original equation:

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But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.

c = 3:

sqrt (3 + 22) ?= 3 + 2

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