Find the distance between A(4, 6) and B(9, 1) to the nearest hundredth.

Answer 1

To find the distance between two points, we must use the distance formula. The distance formula is:

√(x₂ - x₁)² + (y₂ - y₁)²

(x_1, y₁) = first coordinate

(x₂ y₂) = second coordinate

In this case, we are trying to find the distance between the points (4, 6) and (9, 1). Let's make (4, 6) our first coordinate and (9, 1) for our second coordinate.

Plugging those numbers in we get:

x₂ = 9

x₁ = 4

y₂ = 1

y₁ = 6

Now, let's plug those numbers into the distance formula above. So now, we have:

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(9 - 4)² + (1 - 6)²

d = √(5)² + (-5)²

d = √25 + 25

d = √50

d = 5√2

d = 7.07106

Answer:

d = 7.07

Answer 2

d² = (9 - 4)² + (1 - 6)² Distance formula