Answer:
The answer is .393. Hope this helps.
Answer:
see below
Step-by-step explanation:
A = pi r^2
If they have the same radius they have the same area
A two circles = pi r^2 +pi r^2
= 2 pi r^2
If we double the radius
A = pi (2r)^2
= pi 4r^2
The combined area of two circles is 1/2 the area as the area of a circle with twice the radius.
Answer:
3/5
Step-by-step explanation:
Reduced fraction:
3
5
Therefore, 75/125 simplified to lowest terms is 3/5.
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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