Question

What is the approximate distance from the origin to the point (3, −4, 5)? Round to the nearest unit. 4 units 7 units 8 units 9 units

Answer 1

The answer would be B

Explanation:

i took the test

Answer 2

Option B is correct.

Explanation:

The distance formula used is:

`d=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2+(z_(2)-z_(1))^2}`

We need to find distance between origin and other point (3,-4,5)

Origin is: (0,0,0)

x₁ = 0, y₁ = 0, z₁ =0 and x₂= 3, y₂= -4 and z₂ = 5

Putting values in the distance formula we get:

`d=√((3-0)^2+(-4+0)^2+(5-0)^2)\\d=√((3)^2+(-4)^2+(5)^2)\\d=√(9+16+25)\\d=√(50)\\d=7`

The Distance from the origin to the point (3, −4, 5) is 7 units.

Option B is correct.