Question

I need to find PQ and round to the nearest 100th

Answer 1

To answer this question we will use the following formula to compute the distance between two given points (x,y) and (v,w):

`d=√((x-v)^2+(y-w)^2).`

From the given diagram we get that:

`\begin{gathered} P=(-5,-1), \\ Q=(1,-4). \end{gathered}`

Therefore:

`\begin{gathered} PQ=√((-5-1)^2+(-1-(-4))^2)=√((-6)^2+(3)^2) \\ √(36+9)=√(45)\approx6.71. \end{gathered}`

Answer:

`6.71.`