Answer:
solution given:
similar cylinders ratio 1:3
let the ratio be 1x and 3x respectively:
according to the question:
x/3x=volume of (smaller cylinder/big cylinder)
Volume of big Cylinder=67cm³×3=201cm3
201cm³ is your answer
Answer:
Step-by-step explanation:
<u>Payment is</u>
<u>Divide both by 4/5 to find payment per hour</u>
- 7.20 ÷ 4/5 ⇔ 4/5 ÷ 4/5
- 7.20 ÷ 0.8 ⇔ 1
- 9.00 ⇔ 1
9.00 unit of money per 1 hour
In this problem, it will be helpful to know the vertex form of a parabola, which is listed below:
is a constant which helps to determine whether the parabola opens up or down. If 
, then the parabola opens downward and if 
, the parabola opens upwards
is the vertex of the parabola
By looking at the graph, we can first see that the graph opens downwards, meaning that . Thus, choices C and D are not valid. Now, let's use the vertex of the parabola to complete the equation.
The vertex of this parabola is (-1, 3), as shown by the graph. When we substitute this into our formula, we get:
The answer is a, 
.
Answer:
the first one first the second second and the last last
Step-by-step explanation:
2 1/5 + 22/5 = 4 2/5
9 2/5 + (-5 3/5)= 4 1/5
-8 2/5+9 1/5=1/15
Answer:
Step-by-step explanation:
Domain:
![\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{3y-x}=\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{-(x-3y)}\\\\=\dfrac{x^2+9y^2}{x-3y}-\dfrac{6xy}{x-3y}=\dfrac{x^2+9y^2-6xy}{x-3y}\\\\=\dfrac{x^2-2(x)(3y)+(3y)^2}{3y-x}=\dfrac{(x-3y)^2}{3y-x}\\\\=\dfrac{\bigg[-1(3y-x)\bigg]^2}{3y-x}=\dfrac{(-1)^2(3y-x)^2}{3y-x}\\\\=\dfrac{1(x-3y)(x-3y)}{x-3y}=x-3y](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%2B9y%5E2%7D%7Bx-3y%7D%2B%5Cdfrac%7B6xy%7D%7B3y-x%7D%3D%5Cdfrac%7Bx%5E2%2B9y%5E2%7D%7Bx-3y%7D%2B%5Cdfrac%7B6xy%7D%7B-%28x-3y%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bx%5E2%2B9y%5E2%7D%7Bx-3y%7D-%5Cdfrac%7B6xy%7D%7Bx-3y%7D%3D%5Cdfrac%7Bx%5E2%2B9y%5E2-6xy%7D%7Bx-3y%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bx%5E2-2%28x%29%283y%29%2B%283y%29%5E2%7D%7B3y-x%7D%3D%5Cdfrac%7B%28x-3y%29%5E2%7D%7B3y-x%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Cbigg%5B-1%283y-x%29%5Cbigg%5D%5E2%7D%7B3y-x%7D%3D%5Cdfrac%7B%28-1%29%5E2%283y-x%29%5E2%7D%7B3y-x%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%28x-3y%29%28x-3y%29%7D%7Bx-3y%7D%3Dx-3y)
Used:
The distributive property: a(b + c) = ab + ac
(a - b)² = a² - 2ab + b²
