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3 years ago

Find the distance between the points (-8, -2) and (6,-1). Round your answer to the nearest hundredth.

Mathematics

1 answer:

vitfil [10]3 years ago

7 0

Answer:

distance is 14.04

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.

we use Pythagoras

c² = a² + b²

c = the Hypotenuse (the side of the triangle opposite to the 90 degree angle).

the x difference

-8 - 6 = -14

the y difference

-2 - -1 = -1

c² = -14² + -1² = 196 + 1 = 197

c = sqrt(197) = 14.04

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$\bf \textit{distance between 2 points}\\ \quad \\
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&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
% (c,d)
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\\\\\\
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3 years ago

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LiRa [457]

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3 years ago

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