Question

Which of the following equations can Erin use to find the length of PN?

A) PN = (x_A - x_N)^2 + (y_A - y_N)^2
B) PN = √((x_A - x_N)^2 + (y_A - y_N)^2)
C) PN = |x_A - x_N| + |y_A - y_N|
D) PN = (x_A - x_N) * (y_A - y_N)

Answer 1

Erin can use the equation PN = √((x_A - x_N)^2 + (y_A - y_N)^2) to find the length of PN.

Step-by-step explanation:

The equation that Erin can use to find the length of PN is PN = √((x_A - x_N)^2 + (y_A - y_N)^2), which is option B. This equation represents the distance formula or the Pythagorean theorem. It calculates the length of the line segment PN by finding the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of points P and N.