(2)5x-y=12
3x+2y=2
10x-2y=12
3x+2y=2
13x=2
x=0.15
Equation :
This parabola is facing downwards and highest point of the parabola is it's vertex.
Highest point is (-2,2)
so the vertex is (-2,2)
The graph is passing through (-1,0)
Equation in vertex form is
![y = a(x - h) {}^{2} + k](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%20h%29%20%7B%7D%5E%7B2%7D%20%20%2B%20k)
![0 = a( - 1 + 2) {}^{2} + 2 \\ 0 =a (1) {}^{2} +2 \\ 0 = a + 2 \\ a = - 2](https://tex.z-dn.net/?f=0%20%3D%20a%28%20-%201%20%2B%202%29%20%7B%7D%5E%7B2%7D%20%20%2B%202%20%5C%5C%200%20%3Da%20%281%29%20%7B%7D%5E%7B2%7D%20%20%2B2%20%5C%5C%20%200%20%3D%20a%20%2B%202%20%5C%5C%20a%20%3D%20%20-%202%20)
Substitute back in Equation
![y = - 2(x + 2) {}^{2} + 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28x%20%20%2B%202%29%20%7B%7D%5E%7B2%7D%20%20%2B%202)
the graph has two x intercepts -1 and -3
that means (x+1) and (x+3) are the factors
multiply factors to get the equation in standard form
![-2(x + 1)(x + 3) = 0 \\ -2(x {}^{2} + x + 3x + 3) = 0 \\ -2( x {}^{2} + 4x + 3) = 0](https://tex.z-dn.net/?f=-2%28x%20%2B%201%29%28x%20%2B%203%29%20%3D%200%20%5C%5C%20-2%28x%20%7B%7D%5E%7B2%7D%20%20%2B%20x%20%2B%203x%20%2B%203%29%20%3D%200%20%5C%5C%20%20-2%28%20x%20%7B%7D%5E%7B2%7D%20%20%2B%204x%20%2B%203%29%20%3D%200)
-2x^2-8x-6=0
Answer:
10
Step-by-step explanation:
12-6+4
Answer:
28.26
Step-by-step explanation:
area of a circle is (pi)(r)^2
radius is half of the diameter
6/2=3
3 feet is the radius
a= 3.14 (3)^2
=3.14 x 9
= 28.26 feet