Answer:
The sign that makes the sentence true is an equal sign, =.
Answer:
![Vertex = (-2,-25)](https://tex.z-dn.net/?f=Vertex%20%3D%20%28-2%2C-25%29)
Step-by-step explanation:
Given
![f(x) = (x - 3)(x + 7)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%203%29%28x%20%2B%207%29)
Required
The vertex
![f(x) = (x - 3)(x + 7)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%203%29%28x%20%2B%207%29)
Open bracket
![f(x) = x^2 -3x+7x-21](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20-3x%2B7x-21)
![f(x) = x^2 +4x-21](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20%2B4x-21)
Express -21 as 4 - 25
![f(x) = x^2 +4x+4-25](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20%2B4x%2B4-25)
Group as:
![f(x) = (x^2 +4x+4)-25](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%5E2%20%2B4x%2B4%29-25)
Factorize the expression in bracket
![f(x) = (x+2)^2-25](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%2B2%29%5E2-25)
The vertex form is:
![f(x) = a(x - h)^2 + k](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%28x%20-%20h%29%5E2%20%2B%20k)
Where the vertex is:
![Vertex = (h,k)](https://tex.z-dn.net/?f=Vertex%20%3D%20%28h%2Ck%29)
![Vertex = (-2,-25)](https://tex.z-dn.net/?f=Vertex%20%3D%20%28-2%2C-25%29)
Im sorry i dont understand the question.. Is there another form of the question you can give me?
Answer:
15
Step-by-step explanation:
Area of Trapezoid: ![A=\frac{b_{1}+b_{2} }{2} h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bb_%7B1%7D%2Bb_%7B2%7D%20%7D%7B2%7D%20h)
Base 1 = 7
Base 2 = 3
Height = 3
Plugging into the formula, you get:
(7+3)/2 = 5
5(3) = 15