Question

To the nearest tenth, what is the distance between the points (1, –2, 5) and (0, 7, –4)?

5.2
7.4
9.5
12.8

Answer 1

The distance is
`12.8\ units`

Explanation:

we know that

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

`d=\sqrt{(x2-x1)^(2)+(y2-y1)^(2)+(z2-z1)^(2)}`

we have

`A(1,-2,5)\\B(0,7,-4)`

substitute the values

`d=\sqrt{(0-1)^(2)+(7+2)^(2)+(-4-5)^(2)}`

`d=\sqrt{(-1)^(2)+(9)^(2)+(-9)^(2)}`

`d=√(1+81+81)`

`d=√(163)\ units`

`d=12.8\ units`