Question

Fiona is playing fetch with her dog. She is standing at the coordinate point
(
7,
−
5
)
. When she throws the stick, it lands at the coordinate point
(
−
1,10
)
. How far did Fiona throw the stick?

Answer 1

The distance covered by Fiona's stick is 17 units

The formula for calculating the distance between two points is expressed as:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given the coordinate points (7, -5) and (-1, 10)

Substitute the given coordinates into the formula

$D = \sqrt{(-1-7)^2+(10-(-5))^2}\\D= \sqrt{(-8)^2+(15)^2}\\D= \sqrt{64+225}\\D=\sqrt{289}\\D = 17units$

Hence the distance covered by Fiona's stick is 17 units

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