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What is the distance between (5, 9), (−7, −7)?

1 Answer

4 votes

Answer:

20

Explanation:

Use the distance formula to determine the distance between the two points.


\text{Distance}=√((x_2=x_1)^2+(y_2-y1)^2)

Substitute the actual values of the points into the distance formula.


√(((-7)-5)^2+((-7)-9)^2)

Simplify.

⇒ Subtract 5 from 7.


√((-12)^2+((-7)-9)^2)

⇒ Raise -12 to the power of 2.


√(144+((-7)-9)^2)

⇒ Subtract 9 from -7.


√(144+(-16)^2)

⇒ Raise -16 to the power of 2.


√(144+256)

⇒ Add 144 and 256.


√(400)

⇒ Rewrite 400 as 20².


√(20^2)

⇒ Pull terms out from under the radical, assuming positive real numbers.

20

User Ramez Ashraf
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