Question

Find the distance between the points (-4,9) and (5, -3).

Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Submit

Answer 1

15 units

Explanation:

The formula of a distance between two points:

`A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=√((x_B-x_A)^2+(y_B-y_A)^2)}`

We have:

`A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=√((5-(-4))^2+(-3-9)^2)=√(9^2+(-12)^2)=√(81+144)\\\\=√(225)=15`