Question

I need help please 5. Find the distance between C (-5, 4) and Q (2,0). A. 22 B. 33 C. 53 D. 65

Answer 1

Given the two points:

C (-5, 4) and Q (2, 0)

To find the distance, use the distance formula below:

`d\text{ =}\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

Where,

(x1, y1) = (-5, 4)

(x2, y2) = (2, 0)

Therefore, we have:

`\begin{gathered} d=\sqrt[]{(2-(-5))^2+(0-4)^2} \\ \\ \text{ =}\sqrt[]{(2+5)^2+(0-4)^2} \\ \\ \text{ =}\sqrt[]{7^2+(-4)^2} \\ \\ \text{ =}\sqrt[]{49+16} \\ \\ \text{ =}\sqrt[]{65} \end{gathered}`