23.8k views
4 votes
calculate the distance between the points and in the coordinate plane.Give an exact answer (not a decimal approximation).

calculate the distance between the points and in the coordinate plane.Give an exact-example-1
User Tmp
by
8.2k points

1 Answer

6 votes

Answer:

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

User Yogesh Kataria
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories