Question

What is the distance between (8, -3), (4,-7)?

Answer 1

Answer:

$4\sqrt{2}$ which is none of your choices....

Did you mean (8,-3) and (4,-7)?

Step-by-step explanation:

We need to first find the distance between the x's.

Then the distance between the y's.

The distance between the x's is 8-4=4.

The distance between the y's is -3-(-7)=4.

So the distance between two points $(x_1,y1)\text{ and }(x_2,y_2)$ is $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$.

So we already found x1-x2 and y1-y2 so now we have:

$\sqrt{(4)^2+(4)^2}$

$\sqrt{16+16}$

$\sqrt{2(16)$

$\sqrt{16}\sqrt{2}$

$4\sqrt{2}$