GEOMETRY: Help asap pls - show all work Find the distance between the points to the nearest tenth. 1. C(-1, -1), D(6, 2) 2. E(-7, 0), F(5 ,8) Line AB has endpoints A(-3, 2) and …

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asked May 20, 2019 126k views

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Mookie · Answer 1 · 2019-05-24T15:41:10+0000

Find the distance between the points to the nearest tenth.

1. C(-1, -1), D(6, 2)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad √(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)$

$=√(\left(6-\left(-1\right)\right)^2+\left(2-\left(-1\right)\right)^2)$

=√(58)

2. E(-7, 0), F(5 ,8)

$=√(\left(5-\left(-7\right)\right)^2+\left(8-0\right)^2)$

=4√(13)

=3(3.6)

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AB has endpoints A(-3, 2) and B(3, -2).

3. find the coordinates of the midpoint of Line AB

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left((x_2+x_1)/(2),\:\:(y_2+y_1)/(2)\right)$

$=\left((3-3)/(2),\:(-2+2)/(2)\right)$

$=\left(0,\:0\right)$

4. Find AB to the nearest tenth

$AB = √(\left(3-\left(-3\right)\right)^2+\left(-2-2\right)^2)$

AB =2√(13)

AB =2(3.6)