Question

Distance Formula D=√(x2-x1)² + (y2 - y₁) ² a. 8.149 b. 8.84 c. 9.438 d.12.369 ​

Answer 1

Answer:

d

Step-by-step explanation:

using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (10, 1 )

d = $\sqrt{10-(-2))^2+(1-4)^2}$

   = $\sqrt{(10+2)^2+(-3)^2}$

  = $\sqrt{12^2+9}$

  = $\sqrt{144+9}$

  = $\sqrt{153}$

  ≈ 12.369