Answer:
Step-by-step explanation:-16x^2 + 24x + 16 = 0.
A. Divide by 8:
-2x^2 + 3x + 2 = 0, A*C = -2*2 = -4 = -1 * 4. Sum = -1 + 4 = 3 = B, -2x^2 + (-x+4x) + 2 = 0,
(-2x^2-x) + (4x+2) = 0,
-x(2x+1) + 2(2x+1) = 0,
(2x+1)(-x+2) = 0, 2x+1 = 0, X = -1/2. -x+2 = 0, X = 2.
X-intercepts: (-1/2,0), (2,0).
B. Since the coefficient of x^2 is negative, the parabola opens downward. Therefore, the vertex is a maximum.
Locate the vertex: h = Xv = -B/2A = -24/-32 = 3/4, Plug 3/4 into the given Eq to find k(Yv). K = -16(3/4)^2 + 16(3/4) + 16 = 19. V(h,k) = V(3/4,19).
C. Choose 3 points above and below the vertex for graphing. Include the points calculated in part A which shows where the graph crosses the x-axis.
Answer:
Step-by-step explanation:
base x height divided by 2
4x3=12
12 divided by 2 = 6
6x5= 30
Use easy numbers if you get confused on problems like these.
I'm going to use 12 instead of c.
Since you have 12 pieces of candy and 6 friends, each friend would get 2 pieces, because 12/6=2.
Now, substitute c for 12, and you get c/6.
Hope this helps!
Answer:
- B. BC = 18 so ∆ABC ~ ∆DEF by SAS
Step-by-step explanation:

So, ∆ABC ~ ∆DEF by SAS.
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Answer:
11
Step-by-step explanation:
There are more than eleven cards in a deck but there can only be one outcome because there are only 11 letters in the word PERSONALITY.