Question

60 POINTS HELP. Math

Answer 1

Question 1 answer

Midpoint formula:

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

m = ( \frac{ - 2 + 4}{2} \: \frac{3 + 6}{2} )

m = (1 \: \frac{9}{2} ) \: or \: (1 \: 4.5)

Question 2 answer

Distance Formula :

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

d = \sqrt{ ( - 2 - ( - 6)) ^{2} + (1 - ( - 2)) ^{2} }  

d = \sqrt{ {4}^{2} + {3}^{2} }  

d = \sqrt{16 + 9}  

d = \sqrt{25}  

d = 5 \: units

Answer 2

Q1a.

Midpoint formula :

$m = ( \frac{x1 + x2} {2} \: \frac{y1 + y2}{2} )$

$m = ( \frac{ - 2 + 4}{2} \: \frac{3 + 6}{2} )$

$m = (1 \: \frac{9}{2} ) \: or \: (1 \: 4.5)$

Q2a.

Distance Formula :

$d = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }$

$d = \sqrt{ ( - 2 - ( - 6)) ^{2} + (1 - ( - 2)) ^{2} }$

$d = \sqrt{ {4}^{2} + {3}^{2} }$

$d = \sqrt{16 + 9}$

$d = \sqrt{25}$

$d = 5 \: units$

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I hope that helps you out!!

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~Zoey