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

AB = =

Step-by-step explanation:

A (-3,4); B (6,1)

Let H lays on x-axis and AH ⊥ Ox --> H (xA,0) = (-3,0)

Let K lays on AH and BK ⊥ AH --> K (xA, yB) = (-3, 1)

AK = |yA - yK| = |4 - 1| = 3

BK = |xB - xK| = |6 - -3| = 9

ABK is a right triangle (AKB = 90)

--> AB^2 = AK^2 + BK^2 = 3^2 + 9^2 = 90

--> AB = =

Or, you can use the formula:

AB = and get the same result.

This formula can be used to find the distance between any 2 points.

2√45

Step-by-step explanation:

a^2 + b^2 = c^2      • Pythagorean theorem

3^2 + 9^2 = c^2      • Substitute the lengths you know.

9 + 81= c^2             • Evaluate exponents.

90 = c^2                  • Add.

√90 = √c^2             • Take the square root of both sides of the equation.

√2 √45 = √c^2       • Simplify the square root.

2√45                        • Solution

∠cbe and ∠deb are same-side interior angles.

i took the test

irrational, cannot