Hi there! :)
Answer:

Use the midpoint formula to derive the midpoint of the segment:

Substitute in the coordinates:

Simplify:

The coordinates of the midpoint are:

Answer:
see below
Step-by-step explanation:
3 red sections, 2blue sections, and 1 purple section = 6 sections
P( red) = red/total = 3/6 =1/2
P( blue) = blue/total = 2/6 =1/3
P( purple) = purple/total = 1/6
Answer:

Step-by-step explanation:
The equation of a circle with center
and radius
is given by

Here the center is:
and radius is
.
Therefore, we have:



Required polynomial is (x - 4)(x + 5)(x - 7) = (x - 4)(x^2 - 2x - 35) = x(x^2 - 2x - 35) - 4(x^2 - 2x - 35) = (x^3 - 2x^2 - 35x) - (4x^2 - 8x - 140) = x^3 - 2x^2 - 35x - 4x^2 + 8x + 140 = x^3 - 6x^2 - 27x + 140
Answer:
Moby had 72 cars to start with.
Step-by-step explanation:
48-12=36
36(2)= 72