Question

What is the distance between the points? Round to the nearest tenth if necessary.(-4,-8) (2,2)

Answer 1

Answer: $2\sqrt{34}$ or, as a decimal, 11.7.

Step-by-Step Explanation:

1. Use the distance formula and substitute the values of the two ordered pairs.

$\sqrt{(2-(-4))^{2}+(2-(-8))^{2}}$...

2. Multiply -1 by -4.

$\sqrt{(2+4)^2+(2-(-8))^2\\}$ ...

3. Add 2 and 4.

4. Raise 6 to the power of 2.

$\sqrt{36+(2-(-8))^2}$...

5. Multiply -1 by -8.

6. Add 2 and 8.

7. Raise 10 to the power of 2.

$\sqrt{36+100}$ ...

8. Add 100 and 36.

9. Rewrite 136 as 2² · 34.

10. After factoring 4 out of 136 and rewriting as ...  $\sqrt{2^{2}(34)}$, pull out terms from under the radical. It should look like this now: $2\sqrt{34}$. That is your final answer!!

Hope that helps! Note: the unrounded decimal is 11.66190378.

(P.S. Can I have Brainliest please? Once someone else answers, of course...)