Question

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

(-9,7) and (0,-5)

Answer 1

15

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))\\\\√((0-(-9))^2+(-5-7)^2)`

Two negatives make a positive. Simplify:

`√((0+9)^2+(-5-7)^2)`

Simplify parentheses:

`√((9)^2+(-12)^2)`

Simplify exponents:

`√(81+144)`

Simplify addition:

`√(225)`

Find the square root:

`√(225) =15`

The distance between the two points is 15.

:Done