7, 4/11, 7.362, 147/20, 7.99
$78 for each tire
4,992 divided by 64 is 78
Answer:
The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)
<u>Solution:</u>
Given, equation is ![y-9=-6(x-1)^{2}](https://tex.z-dn.net/?f=y-9%3D-6%28x-1%29%5E%7B2%7D)
We have to find the vertex of the given equation.
When we observe the equation, it is a parabolic equation,
We know that, general form of a parabolic equation is
Where, h and k are x, y co ordinates of the vertex of the parabola.
![\text { Now, parabola equation is } y-9=-6(x-1)^{2} \rightarrow y=-6(x-1)^{2}+9](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Now%2C%20parabola%20equation%20is%20%7D%20y-9%3D-6%28x-1%29%5E%7B2%7D%20%5Crightarrow%20y%3D-6%28x-1%29%5E%7B2%7D%2B9)
By comparing the above equation with general form of the parabola, we can conclude that,
a = -6, h = 1 and k = 9
Hence, the vertex of the parabola is (1, 9).
Answer:
2057
2 2
Step-by-step explanation:
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)