Question

type the answer in the space provided. use numbers instead of words. calculate the distance between the two points on the coordinate plane. round your answer to the nearest tenth.

Explanation:

1. First, identify the coordinates of the two points:

• Assume the first - point is \((1,1)\) and the second - point is \((7,8)\) (by observing the grid).
• The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) in a coordinate plane is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

1. Then, substitute the values into the formula:

• Here, \(x_1 = 1,y_1 = 1,x_2 = 7,y_2 = 8\).
• First, calculate \((x_2 - x_1)\) and \((y_2 - y_1)\): \(x_2 - x_1=7 - 1 = 6\) and \(y_2 - y_1=8 - 1 = 7\).
• Then, calculate \((x_2 - x_1)^2+(y_2 - y_1)^2\): \((x_2 - x_1)^2+(y_2 - y_1)^2=6^2 + 7^2=36+49 = 85\).
• So, \(d=\sqrt{85}\).

1. Finally, round the result:

• \(\sqrt{85}\approx9.2\) (rounded to the nearest tenth).

Step1: Identify point coordinates

\((x_1,y_1)=(1,1),(x_2,y_2)=(7,8)\)

Step2: Apply distance formula

\(d=\sqrt{(7 - 1)^2+(8 - 1)^2}=\sqrt{6^2 + 7^2}=\sqrt{36 + 49}=\sqrt{85}\)

Step3: Round the result

\(d\approx9.2\)

Answer:

9.2