Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answer 1

Answer:

15

Step-by-step explanation:

Use the distance formula:

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

Insert values:

$(-9,7)=(x_{1},y_{1})\\\\(0,-5)=(x_{2},y_{2})\\\\\sqrt{(0-(-9))^2+(-5-7)^2}$

Two negatives make a positive. Simplify:

$\sqrt{(0+9)^2+(-5-7)^2}$

Simplify parentheses:

$\sqrt{(9)^2+(-12)^2}$

Simplify exponents:

$\sqrt{81+144}$

Simplify addition:

$\sqrt{225}$

Find the square root:

$\sqrt{225} =15$

The distance between the two points is 15.

:Done