Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
Answer: Yes, The relation is a function, they are the exact opposite.
Step-by-step explanation:
Answer:
, ![r=5\ \text{units}](https://tex.z-dn.net/?f=r%3D5%5C%20%5Ctext%7Bunits%7D)
Step-by-step explanation:
Given
the equation is ![x^2+y^2+4x-6y-12=0](https://tex.z-dn.net/?f=x%5E2%2By%5E2%2B4x-6y-12%3D0)
completing the square
![\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2](https://tex.z-dn.net/?f=%5CRightarrow%20%28x%5E2%2B2%5Ctimes%202%5Ctimes%20x%2B4-4%29%2B%28y%5E2-2%5Ctimes3%5Ctimes%20y%2B9-9%29-12%3D0%5C%5C%5CRightarrow%20%28x%5E2%2B2%5Ctimes%202%5Ctimes%20x%2B4%29%2B%28y%5E2-2%5Ctimes3%5Ctimes%20y%2B9%29-12-4-9%3D0%5C%5C%5CRightarrow%20%28x%2B2%29%5E2%2B%28y-3%29%5E2%3D25%5C%5C%5CRightarrow%20%28x%2B2%29%5E2%2B%28y-3%29%5E2%3D5%5E2%5C%5C%5CRightarrow%20%28x-%28-2%29%29%5E2%2B%28y-3%29%5E2%3D5%5E2)
Thus, the center of the circle is
and radius is ![r=5\ \text{units}](https://tex.z-dn.net/?f=r%3D5%5C%20%5Ctext%7Bunits%7D)
The ratio being 0.55 means 55% of students voted for the person who ended up winning. If there were 40 people who voted, just find 55% of 40.
This is done by 0.55 • 40, which equals 22.
So 22 students voted for the person who ended up winning.
8p +5 = $29
The above is the equation
If you want to know how many pizza were ordered then you subtract 5 from each side of the equal sign then you would have 8p=24 then divide by 8 on both sides of equal sign . p= 3 ; so 3 pizzas were order plus a charge of $5 for delivery.