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

Explanation:

Step1: Find coordinates of points

Point \(P(-3,-4)\), point \(Q(1,-3)\)

Step2: Use distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Here \(x_1=-3,y_1 = -4,x_2=1,y_2=-3\)
\(d=\sqrt{(1-(-3))^2+(-3 - (-4))^2}\)
\(=\sqrt{(1 + 3)^2+(-3 + 4)^2}\)
\(=\sqrt{4^2+1^2}\)
\(=\sqrt{16 + 1}\)
\(=\sqrt{17}\approx4.12\)

Answer:

B. 4.12 units