Find the distance between the points (-2,-5)and (-7,-10).Round your answer to the nearest hundredth if necessary.
A) 17.49
B) 0
C) 7.07
D) 3.16
E) 50

Question

Find the distance between the points (-2,-5)and (-7,-10).Round your answer to the nearest hundredth if necessary. ​
A) 17.49
B) 0
C) 7.07
D) 3.16
E) 50

Quizplus · Accepted Answer

Using the distance formula, we get:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(-7 - (-2))^2 + (-10 - (-5))^2]
d = sqrt[(-7 + 2)^2 + (-10 + 5)^2]
d = sqrt[(-5)^2 + (-5)^2]
d = sqrt[25 + 25]
d = sqrt(50)
d ≈ 7.07

Therefore, the answer is Choice C, 7.07 (rounded to the nearest hundredth).

Find the Distance Between the Points (-2,-5)and (-7,-10)