Question

Find the distance between the points (-3, 9) and (6,-5). Round the answer to the nearest tenth.
A)
5.0
14.3
16.6

Answer 1

Answer:

D. 16.6

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

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

Where

$(x_1,y_1) = (-3,9)$

$(x_2,y_2) = (6,-5)$

Replacing these values in the distance formula

$D =\sqrt{(-3-6)^2+(9-(-5))^2}$

$D =\sqrt{(-9)^2+(9+5)^2}$

$D =\sqrt{(-9)^2+(14)^2}$

$D =\sqrt{81+196}$

$D =\sqrt{277}$

$D= 16.6433$

Hence the Distance is 16.60 units