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Answer:
41.34
Step-by-step explanation:
We can use the Pythagorean theorem to solve for the distance. First we will create an imaginary triangle with the leg lengths being the x distance and y distance between the 2 points and the hypotenuse being the distance between the 2 points.
x distance =
[tex]15 - (-20) = 35[/tex]
y distance =
[tex] |-17-5| = | - 22| = 22[/tex]
We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle
xdistance²+ydistance²=distance²
35²+22²=distance²
1709=distance²
[tex] \sqrt{1709} = distance[/tex]
In decimal form the distance would be around 41.34.
That is the answer
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