Given:
The scale factor between two circles is
.
To find:
The ratio of their areas.
Solution:
We know that, all circles are similar.
The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.
The scale factor is the ratio of the corresponding sides.
Ratio of areas of circles = Square of scale factor between two circles
![\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2](https://tex.z-dn.net/?f=%5Ctext%7BRatio%20of%20areas%20of%20circles%7D%3D%5Cleft%28%5Cdfrac%7B2x%7D%7B5y%7D%5Cright%29%5E2)
![\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}](https://tex.z-dn.net/?f=%5Ctext%7BRatio%20of%20areas%20of%20circles%7D%3D%5Cdfrac%7B%282x%29%5E2%7D%7B%285y%29%5E2%7D)
![\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}](https://tex.z-dn.net/?f=%5Ctext%7BRatio%20of%20areas%20of%20circles%7D%3D%5Cdfrac%7B4x%5E2%7D%7B25y%5E2%7D)
Therefore, the correct option is D.
![y = {x}^{3} - 4 {x}^{2} - 45x \\ y = x( {x}^{2} - 4x - 45) \\ y = x(x + 5)(x - 9) \\ x = 0, - 5,9](https://tex.z-dn.net/?f=y%20%3D%20%7Bx%7D%5E%7B3%7D%20%20-%204%20%7Bx%7D%5E%7B2%7D%20%20-%2045x%20%5C%5C%20y%20%3D%20x%28%20%7Bx%7D%5E%7B2%7D%20%20-%204x%20-%2045%29%20%5C%5C%20y%20%3D%20x%28x%20%2B%205%29%28x%20-%209%29%20%5C%5C%20x%20%3D%200%2C%20-%205%2C9)
So, to find our x-intercepts, y must be zero
![0 = x \\ \\ 0 = (x + 5) \\ - 5 = x \\ \\ 0 = (x - 9) \\ 9 = x](https://tex.z-dn.net/?f=0%20%3D%20x%20%5C%5C%20%20%5C%5C%200%20%3D%20%28x%20%2B%205%29%20%5C%5C%20%20-%205%20%3D%20x%20%5C%5C%20%20%5C%5C%200%20%3D%20%28x%20-%209%29%20%5C%5C%209%20%3D%20x)
ANSWER: (0,0) (-5.0) (9,0) are your x-intercepts
Answer:
56.5
Step-by-step explanation:
Answer:
Linear Equation: y=-44000x+88922000
Year 2009: $526000
By year 2021, they have no more fund
Step-by-step explanation:
Slope formula is difference of y/difference of x. 79000-70200/2003-2005=
-88000/2=-44000.
To find the y intercept, x=0.
It should be year 0. 44000x2003=88132000+790000=88922000
Now put it into y=mx+b
y=-44000x+88922000
Plug in 2009.
It should equal 526000.