Question

fill in the blanks using the available answer choices. the distance between a(-2, 4) and b(1, 0) is (blank 1). a 5 b 25 c 2.24 d -5 e 4

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify coordinates

Here, $x_1=-2,y_1 = 4,x_2=1,y_2 = 0$.

Step3: Substitute values

$d=\sqrt{(1-(-2))^2+(0 - 4)^2}=\sqrt{(1 + 2)^2+( - 4)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9 + 16}=\sqrt{25}$.

Step4: Calculate result

$\sqrt{25}=5$.

Answer:

A. 5