Find the distance between the points A(10, –9) and B(8, 7). Round your answer to the nearest hundredth.

A.5.09

B.10.63

C.15.00

D.16.12

Find the distance between the points A(10, 9) and B(8, 7). Round your answer to the nearest hundredth. A.5.09 B.10.63 C.15.00 D.16.12 class=

Verified Answer :

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

x₁ = 10, y₁ = -9, x₂ = 8,  y₂ = 7

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

d = √( (8 - 10)² + (7 - -9)²)

d = √( (-2)² + (7+9)²)

d = √( (-2)² + (16)²)

d = √(4 + 256)

d = √260        Use a calculator

d  ≈ 16.1245

d ≈ 16.12 units    to the nearest hundredth.

Option D.

Answer: D. 16.12

Step-by-step explanation: