Question

Calculate the approximate distance point A (5,3, -2) and point B (2, -4, 8) are from the origin. Round to the

nearest tenth.
How much farther from the origin is point B than point A?
3.0 units
3.7 units
4.7 units
O 5.7 units

Answer 1

a

Explanation:

Answer 2

3.0 units

Explanation:

Distance between two points:

Suppose that we have two points,
`(x_1,y_1)` and
`(x_2,y_2)`. The distance between them is given by:

`D = √((x_2-x_1)^2+(y_2-y_1)^2)`

Origin:

The origin is given by point (0,0,0).

Distance of point B to the origin:

Since the origin is all 0, just put the points into the square root.

`D = √(2^2 + 4^2 + 8^2) = √(84) = 9.2`

9.2 units.

Distance of point A to the origin:

`D = √(5^2 + 3^2 + 2^2) = √(37) = 6.1`

How much farther from the origin is point B than point A?

9.2 - 6.1 = 3.1 units

So approximately 3 units.