Question

Use the Pythagorean Theorem to find the distance between (-3, 4) and (6, 1). Show all calculations.

Answer 1

9.48683

Explanation:

using the formula:

• d = √((x2-x1)2 + (y2-y1)2)

Find the difference between coordinates:

(x2-x1) = (6 - -3) = 9

(y2-y1) = (1 - 4) = -3

Square the results and sum them up:

(9)2 + (-3)2 = 81 + 9 = 90

Now Find the square root and that's your result:

Exact solution: √90 = 3√10

Approximate solution: 9.4868