Find the distance between the pair of points. Round to the nearest tenth if necessary.
-$( 3,7 )$ and $( - 5 , - 7 )$
A) $2 \sqrt { 65 } \approx 16.1$
B) 6
C) $132 \sqrt { 33 } \approx 758.3$
D) 132

Question

Quizplus · Accepted Answer

To find the distance between two points, we use the distance formula:

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

Plugging in the given coordinates, we get:

$$d = \sqrt{ ( -5 - 3 )^2 + ( -7 - 7 )^2 }$$

Simplifying the expression under the square root, we have:

$$d = \sqrt{ ( -8 )^2 + ( -14 )^2 } = \sqrt{ 64 + 196 } = \sqrt{ 260 } \approx 16.1$$

Therefore, the best choice is A since it is the only one that is closest to the actual answer when rounded to the nearest tenth.

Find the Distance Between the Pair of Points (3,7)( 3,7 )(3,7)

Find the Distance Between the Pair of Points $( 3,7 )$