On a coordinate plane, what is the distance between the points (-4, -3) and (-1, 5)? Round your answer to the nearest hundredth.
2 answers:
Answer:
8.54
Step-by-step explanation:
To find the distance between 2 points
d = sqrt( y2-y1)^2 + (x2-x1)^2)
where (x1,y1) and (x2,y2) are the two points
d = sqrt((5--3)^2+ (-1--4)^2)
= sqrt((5+3)^2+ (-1+4)^2)
= sqrt((8)^2+ (3)^2)
= sqrt(64+ 9)
=sqrt (73)
=8.544003745
Rounding to the nearest hundredth
=8.54
ANSWER
The distance between the two points is 8.54 to the nearest hundredth.
EXPLANATION
We want to find the distance between the the points (-4, -3) and (-1, 5).
We use the distance formula;
To the nearest hundredth the distance is 8.54 units.
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