Question

Use the distance formula to find the distance, to the nearest tenth, from S(7, −1) to V(−1, 3).

A.2.5 units
B.0.0 units
C.8.9 units
D.−4.0 units

Answer 1

Answer: 8.9 units (choice C)

Step-by-step explanation:

We plug
`(x_1,y_1) = (7,-1) \text{ and } (x_2,y_2) = (-1,3)\\\\` into the distance formula to get the following

`d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((7-(-1))^2 + (-1-3)^2)\\\\d = √((7+1)^2 + (-1-3)^2)\\\\d = √((8)^2 + (-4)^2)\\\\d = √(64 + 16)\\\\d = √(80)\\\\d \approx 8.94427\\\\d \approx 8.9\\\\`