Question

Sean uses the point (10, 8) to represent the location of his house and uses the point (1, 3) to represent the

location of the gym. Each unit on the graph represents 1 mi. How far is the gym from Sean’s house? Round to
the nearest tenth. Show your work.

Answer 1

`10.3\ mi`

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

`A(10,8)\\B(1,3)`

substitute the values

`d=\sqrt{(3-8)^(2)+(1-10)^(2)}`

`d=\sqrt{(-5)^(2)+(-9)^(2)}`

`d=√(25+81)`

`d=√(106)`

`d=10.3\ mi`