Question

distance in the coordinate plane practice
complete this assessment to review what youve learned. it will not count toward your grade
fahim 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? (if past)
the distance is about
units
check answer
remaining attempts: 3

Explanation:

Step1: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 3,y_1=-5,x_2=-2,y_2 = -7\).

Step2: Substitute the values

Substitute the values into the formula: \(d=\sqrt{(-2 - 3)^2+(-7+5)^2}=\sqrt{(-5)^2+(-2)^2}\).

Step3: Calculate the squares

\((-5)^2 = 25\) and \((-2)^2=4\), so \(d=\sqrt{25 + 4}=\sqrt{29}\).

Step4: Find the square - root and round

\(\sqrt{29}\approx5.385\approx5.4\) (rounded to the nearest tenth).

Answer:

5.4