Question

calculate the distance between the points and in the coordinate plane.Give an exact answer (not a decimal approximation).

Answer 1

distance = 10

Step-by-step explanation:

The distance between the two points (x1, y1) and (x2, y2) can be calculated as

`\text{ distance = }√((y_2-y_1)^2+(x_2-x_1)^2)`

So, by replacing (x1, y1) by P(-8, 0) and (x2, y2) by F(-2, -8), we get that the distance is

`\begin{gathered} \text{ distance = }√((-8-0)^2+(-2-(-8))^2) \\ \text{ distance = }√((-8)^2+(-2+8)^2) \\ \text{ distance = }√((-8)^2+(6)^2) \\ \text{ distance = }√(64+36) \\ \text{ distance = }√(100) \\ \text{ distance = 10} \end{gathered}`

Therefore, the distance between the points is 10 units