Question

what is the distance between (8, -3) and (4, -7)?
choose 1 answer:
a 6
b 9
c √32
d √42

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(8,-3)\) and \((x_2,y_2)=(4,-7)\)

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Substitute the values: \(d=\sqrt{(4 - 8)^2+(-7+3)^2}\)

Step3: Simplify the expression inside the square - root

\((4 - 8)^2=(-4)^2 = 16\) and \((-7 + 3)^2=(-4)^2=16\)
So \(d=\sqrt{16 + 16}=\sqrt{32}\)

Answer:

C. \(\sqrt{32}\)