Answer:
See below
Step-by-step explanation:
The three angles inside of the triangle sum to 180
11x + 4 + 3x + 78 = 180
14x +82 =180
x = 7
then B = 11x + 4 = 11(7) + 4 = 81 degrees
C = 3x = 21 degrees
Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Answer:
−3m + 3
Step-by-step explanation:
Answer:
if it's gonna equal 12 then a and b equals 6
Step-by-step explanation:
a/b
a=6
b=6
6/6
12
Answer:
Area of the parallelogram = 21.6 cm²
Step-by-step explanation:
Area of a parallelogram = Base × Height of the side parallel to the base
By using ruler,
Base = 4.8 cm
Height of parallelogram = 4.5 cm
Area of the parallelogram = 4.8 × 4.5
= 21.6 cm²
