Question

Amy, Corey, and John go to Central Park to throw a flying disk among themselves They stand at the positions as shown on the coordinate grid below. CENTRAL PARK Oy Amy Legend: 2 It Corey John Heach square on the grid represents an area of 2 feet by 2 feet how far apart are Corey and Amy? Round your answer to the nearest hundredth of a foot 22 67 feet 32 00 feet 45 34 feet 64.00 feet

Answer 1

45.34 feet.

Step-by-step explanation:

The location of Corey and Amy on the grid are:

Corey(-6,-9) and Amy(9,8).

We use the distance formula to find how far apart Corey and Amy are.

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substituting the points:

`\begin{gathered} Distance=\sqrt[]{(9-(-6)_{})^2+(8-(-9))^2} \\ =\sqrt[]{(9+6_{})^2+(8+9)^2} \\ =\sqrt[]{(15)^2+(17)^2} \\ =\sqrt[]{514} \\ =22.67 \end{gathered}`

Since each square on the grid represents an area of 2 feet by 2 feet, we multiply the result by 2:

`\begin{gathered} 2*22.67 \\ =45.34\text{ feet} \end{gathered}`

Corey and Amy are 45.34 feet apart.