Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answer 1

Answer:

d = 6.4

Step-by-step explanation:

As we move from the point (6, 4) to (1, 8), we see x decreasing from 6 to 1, a change of -5, and y increasing from 4 to 8, a change of +4.  It may be helpful to plot these two points and to draw a line segment connecting them.  We are to find the length of this line segment, which happens to be the hypotenuse of a triangle with base 5 and height 4.  Using the Pythagorean Theorem, we get a formula for this distance, d:

d^2 = 5^2 + 4^2   =   25 + 16  = 41

The distance in question is d = √41, or d = 6.4 (to the nearest tenth).

Answer 2

Answer:

6.4031242374328

Step-by-step explanation:

Distance (d) = √(1 - 6)2 + (8 - 4)2

= √(-5)2 + (4)2

= √41

= 6.4031242374328