Question

1. the coordinate plane shows the location of teammates during a game of ultimate frisbee. each interval on the coordinate plane represents 1 foot.

if jonathan throws the frisbee directly to ellena, how far, in feet (ft), will the frisbee travel?
round your answer to the nearest tenth.____feet

Explanation:

Step1: Find coordinates

Assume the coordinate system where each grid is 1 unit (1 foot). Let's say Jonathan's coordinate is \((x_1,y_1)\) and Ellena's coordinate is \((x_2,y_2)\). From the graph, if we assume Jonathan's coordinate is \((- 2,8)\) and Ellena's coordinate is \((1, - 2)\) (assuming standard \(x - y\) coordinate system with proper counting of grid - squares).

Step2: Use distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
Substitute \(x_1=-2,y_1 = 8,x_2 = 1,y_2=-2\) into the formula:

$$
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$$

Step3: Calculate the value

\(\sqrt{109}\approx10.4\) (using a calculator, \(\sqrt{109}\approx10.4403\) and rounding to the nearest tenth)

Answer:

\(10.4\) feet