<h2>
Explanation:</h2><h2>
</h2>
Here you haven't provided any function, so I'll assume this one:
![f(x)=3x^2-18x+33](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E2-18x%2B33)
This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:
![V(x,y) \\ \\ \\ x=-\frac{b}{2a} \\ \\ y=f(-\frac{b}{2a}) \\ \\ \\ where: \\ \\ \\ f(x)=ax^2+bx+c \\ \\ \\ So: \\ \\ a=3 \\ \\ b=-18 \\ \\ c=33](https://tex.z-dn.net/?f=V%28x%2Cy%29%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D-%5Cfrac%7Bb%7D%7B2a%7D%20%5C%5C%20%5C%5C%20y%3Df%28-%5Cfrac%7Bb%7D%7B2a%7D%29%20%5C%5C%20%5C%5C%20%5C%5C%20where%3A%20%5C%5C%20%5C%5C%20%5C%5C%20f%28x%29%3Dax%5E2%2Bbx%2Bc%20%5C%5C%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20a%3D3%20%5C%5C%20%5C%5C%20b%3D-18%20%5C%5C%20%5C%5C%20c%3D33)
Therefore:
![x=-\frac{(-18)}{2(3)}=3 \\ \\ f(3)=3(3)^2-18(3)+33=27-54+33=6](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B%28-18%29%7D%7B2%283%29%7D%3D3%20%5C%5C%20%5C%5C%20f%283%29%3D3%283%29%5E2-18%283%29%2B33%3D27-54%2B33%3D6)
Therefore, the vertex is:
![\boxed{V(3,6)}](https://tex.z-dn.net/?f=%5Cboxed%7BV%283%2C6%29%7D)
Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
<h3>Equation for P</h3>
For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
<h3>Application</h3>
For q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
I think it is game engine developer or ui
Answer
B)![(x-5)^{2} + y^{2} = 9](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%3D%209)
Step by step explanation
The standard form of circle when center(h, k) and radius r, given is
(x - h)^2 + (y - k)^2 = r^2
Given: (h, k) = (5, 0) and r = 3
Now plug in these values in the standard form, we get
(x - 5)^2 + (y - 0)^2 = 3^2
![(x- 5)^{2} + y^{2} = 9](https://tex.z-dn.net/?f=%28x-%205%29%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%3D%209)
Therefore, the answer is B) ![(x-5)^{2} + y^{2} = 9](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%20%20%2B%20y%5E%7B2%7D%20%3D%209)
Thank you :)
Number 6 is B because each input or x value has one output or y value
Number 7 is C because that’s not even an equation
Number 8 is D because each input or x value has one output or y value
Number 10 is A because if you graph it all of the points would be on a line increasing proportionally
(Hopefully this made sense I tried my best)