Question

B.HELPPPP MEEEE PLSSSS AND THANK YOUU

Answer 1

Answer:

A. (3, 8) and $2\sqrt{2}$

B. (2, 4) and $2\sqrt{10}$

Step-by-step explanation:

Midpoint formula: $(\frac{x1+x2}{2} ,\frac{y1+y2}{2})$

Distance formula: $\sqrt{(x_{2}-x_{1}) ^2+(y_{2}-y_{1}) ^2 }$

A. plug in the points in the formulas

(4, 7) and (2, 9)

Midpoint:

$(\frac{4 + 2}{2} , \frac{7+9}{2} )=6/2, 16/2 = (3,8)$

Length:

$\sqrt{(2-4)^2+(9-7)^2}=\sqrt{4+4} =\sqrt{8} =2\sqrt{2}$

B.

(5, 5) and (-1, 3)

Midpoint:

$(\frac{5-1}{2} , \frac{5+3}{2} )=4/2,8/2=(2,4)$

Length:

$\sqrt{(-1-5)^2+(3-5)^2} =\sqrt{-6^2+-2^2} =\sqrt{36+4} =\sqrt{40} = 2\sqrt{10}$

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