Question

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Answer 1

Answer:

The answer is below

Step-by-step explanation:

The distance between two points is given by the formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2)}$

1) (-4,6) and (3, -7)

$D=\sqrt{(3-(-4))^2+(-7-6)^2}=14.76$

2) (-6, -5) and (2,0)

$D=\sqrt{(2-(-6))^2+(0-(-5))^2}=9.43$

3) (0, -8) and (3, 2)

$D=\sqrt{(3-0)^2+(2-(-8))^2}=10.44$

4) (-1, 4) and (1, -1)

$D=\sqrt{(1-(-1))^2+(-1-4)^2}=5.39$

The midpoint (x, y) between two endpoints is given by:

$x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$

The midpoints of the following segments are:

1) (15, 8) and (-1, -4)

$x=\frac{15+(-1)}{2}=7,y=\frac{8+(-4)}{2}=2\\\\(7,2)$

2) M(-5,9) and N[-2.7)

$x=\frac{-2+(-5)}{2}=-3.5,y=\frac{7+9}{2}=8\\\\(-3.5,8)$

3) P(-3,-7) and Q13.-5)

$x=\frac{-3+13}{2}=5,y=\frac{-7-5}{2}=6\\\\(5,6)$

4)  F(12.-6) and G(-8,5)

$x=\frac{12+(-8)}{2}=2,y=\frac{-6+5}{2}=0.5\\\\(2,0.5)$