Question

What is the approximate distance between points P and Q? Round your answer to the nearest hundredth.

A. 4 units
B. 4.12 units
C. 4.89 units
D. 5.1 units

Answer 1

the approximate distance between point p and q are 5.1 so the answer is D.

Answer 2

(D) 5.1 units

Explanation:

From the given graph, we get the two points P and Q that are:

`P=(-3,-4)` and
`Q=(2,-3)`

Thus, the approximate distance between the points P and Q is given as:

`|PQ|=√((-3+4)^4+(2+3)^2)`

`|PQ|=√((1)^2+(5)^2)`

`|PQ|=√(1+25)`

`|PQ|=√(26)`

`|PQ|=5.1 units`

Therefore, the approximate distance between the points P and Q is 5.1 units.

Hence, option (D) is correct.