Question

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

Answer 1

Answer:

20

Step-by-step explanation:

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

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

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

$\sqrt{((-7)-5)^2+((-7)-9)^2}$

Simplify.

⇒ Subtract 5 from 7.

$\sqrt{(-12)^2+((-7)-9)^2}$

⇒ Raise -12 to the power of 2.

$\sqrt{144+((-7)-9)^2}$

⇒ Subtract 9 from -7.

$\sqrt{144+(-16)^2}$

⇒ Raise -16 to the power of 2.

$\sqrt{144+256}$

⇒ Add 144 and 256.

$\sqrt{400}$

⇒ Rewrite 400 as 20².

$\sqrt{20^2}$

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

20