Question

distance in the coordinate plane practice
complete this assessment to review what youve learned. it will not count toward your grade.
fatou marks the points (3, -5) and (-2, -7) on the coordinate plane. then, she finds the distance between them. what is this distance rounded up to the nearest tenth of a unit? (1 point)
the distance is about □ units
check answer remaining attempts : 3

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(3, - 5)\) and \((x_2,y_2)=(-2,-7)\)

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

Substitute the values: \(x_2 - x_1=-2 - 3=-5\), \(y_2 - y_1=-7-(-5)=-2\)
Then \(d=\sqrt{(-5)^2+(-2)^2}=\sqrt{25 + 4}=\sqrt{29}\)

Step3: Calculate the value of \(\sqrt{29}\)

\(\sqrt{29}\approx5.4\)

Answer:

\(5.4\)