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

What is the approximate distance between points P and Q Round your answer to the nearest hundredthA 4 unitsB 412 unitsC 489 unitsD 51 units class=

Respuesta :

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

Answer:

(D) 5.1 units

Step-by-step explanation:

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

[tex]P=(-3,-4)[/tex] and [tex]Q=(2,-3)[/tex]

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

[tex]|PQ|=\sqrt{(-3+4)^4+(2+3)^2}[/tex]

[tex]|PQ|=\sqrt{(1)^2+(5)^2}[/tex]

[tex]|PQ|=\sqrt{1+25}[/tex]

[tex]|PQ|=\sqrt{26}[/tex]

[tex]|PQ|=5.1 units[/tex]

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

Hence, option (D) is correct.