Answer:
![(x+4)^2+(y-6)^2=81](https://tex.z-dn.net/?f=%28x%2B4%29%5E2%2B%28y-6%29%5E2%3D81)
Step-by-step explanation:
We want to find equation of a circle with center (-4,6) and radius 9cm.
The equation of a circle with center (h,k) and radius
units is given by;
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
We substitute the radius and the center to obtain;
![(x+4)^2+(y-6)^2=9^2](https://tex.z-dn.net/?f=%28x%2B4%29%5E2%2B%28y-6%29%5E2%3D9%5E2)
The required equation is:
![(x+4)^2+(y-6)^2=81](https://tex.z-dn.net/?f=%28x%2B4%29%5E2%2B%28y-6%29%5E2%3D81)
x + 47 = 92. <--- x represents the number of 3rd graders
x +47-47 = 92-47
x=45
There are 45 third grader. Hope this helped!
Answer:
46.5
Step-by-step explanation:
Of all straight angles have 180 degrees in them.
So, to find x we need to form this equation:
x + 65 + x - 22 = 180
2x + 43 = 180
2x = 180-43
2x = 137
68.5 degrees = x
68.5-22 = 46.5 degrees.
m<CBD = 46.5 degrees.
m<GBF = also 46.5 degrees because it is a vertical angle to <46.5 degrees.
Since x dollars is the total monthly sales Paul makes when his sales exceed 20,000 dollars, then the function f(x) should add x dollars and $20,000. The answer is B. x+20,000.
Assuming that x dollars is still the sales after gaining $20,000, then 15 percent of x is modeled by B. 0.15x.