Question

Find the distance between the points (-9,0) and (2,5)

A. 12.08
B. 14.6
C. 8.6
D. 74

Answer 1

Hello! The answer to this question is A. 12.08.

Explanation:

The distance formula is:

`√((x2 - x1)^2 + (y2 - y1)^2 )`

With the distance formula, we can now substitute the values from the points provided:

`√((2 - (-9))^2 + (5 - 0)^2) \\= \sqrt{11^2 + 5^2\\\\\\\\= √(121 + 25) \\=√(146) \\= 12.08`

The distance between the points is 12.08.

Answer 2

A. 12.08

9 + 2 = 11

(So, 11 across on our x - axis from - 9 to 2)

Then, up 5 from 2 on our x-axis

Join the 2 dots of coordinates, & creating a triangle. Base 11, height 5

Use Pythagoras Theorem, to find that distance between the coordinates (the hypotenuse)

Root 11^2 + 5^2 = 12.083056...

(root means square root)

Hope this helps!