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

3.0 units

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, and . The distance between them is given by:

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.

9.2 units.

Distance of point A to the origin:

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

9.2 - 6.1 = 3.1 units

So approximately 3 units.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew