Answer:
Step-by-step explanation:
<u>Completing the square</u>
when 
Given equation:
Subtract 40 from both sides:
Divide both sides by 3:
Add the square of half the coefficient of 
to both sides:
Factor the left side and simplify the right side:
Square root both sides:
Add 4 to both sides and simplify the radical:
Answer:
x = 9
Step-by-step explanation:
diagonals bisect each other so we can set up these equations:
x+8 = 2y+5
2x = 3y
in the top equation we can solve for 'x': x = 2y-3
in the second equation we can solve for 'x': x = 3y/2
2y-3 = 3y/2
multiply each side by 2 to eliminate fractions:
4y - 6 = 3y
4y = 3y + 6
y = 6
2x = 3(6)
2x = 18
x = 9
Simplify both sides of the equation(-1.3x+-7.4x)+(7)=(1.5x+-6x)+(9)
-10.5x+7=-4.5x+9
Add 4.5 to both sides
-6x+7=9
Subtract 7 from both sides
-6x=2
Divide both sides by -6
x= -1/3
Answer:
Step-by-step explanation:
volume of sphere = (4/3)πr³
Difference= [(4/3)*π*6³]-[(4/3)*π*3³]
![=\pi*[(\frac{4}{3}*6*6*6) - (\frac{4}{3}*3*3*3)]\\\\=\pi*[(4*2*6*6)-(4*3*3)]\\\\=\pi *[288-36]\\\\=252\pi](https://tex.z-dn.net/?f=%3D%5Cpi%2A%5B%28%5Cfrac%7B4%7D%7B3%7D%2A6%2A6%2A6%29%20-%20%28%5Cfrac%7B4%7D%7B3%7D%2A3%2A3%2A3%29%5D%5C%5C%5C%5C%3D%5Cpi%2A%5B%284%2A2%2A6%2A6%29-%284%2A3%2A3%29%5D%5C%5C%5C%5C%3D%5Cpi%20%2A%5B288-36%5D%5C%5C%5C%5C%3D252%5Cpi)
