Answer:
The other endpoint of the segment is
.
Step-by-step explanation:
The midpoint of the points
and
is given by the following formula:

where
= coordinates of the midpoint.
We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

To find
we need to solve this equation:

and to find
we need to solve this equation:

The other endpoint of the segment is
.
Answer:
The first one is 90, and the second one is 150
Explanation:
40% of 90 is 36, and
40% of 150 is 60.
Answer:
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Simplified answer is: 13x - 15
Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
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