Question

Cory makes a map of his

favorite park, using a coordinate system
with units of yards. The old oak tree is at
position (4, 8) and the granite boulder is at
position (–3, 7). How far apart are the old
oak tree and the granite boulder? Round to
the nearest tenth if necessary

Answer 1

`7.1\ yd`

Explanation:

we know that

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

we have the points

(4, 8) and (–3, 7)

substitute in the formula

`d=\sqrt{(7-8^(2)+(-3-4)^(2)}`

`d=\sqrt{(-1^(2)+(-7)^(2)}`

`d=√(50)\ yd`

`d=7.1\ yd`