volume of pyramid = 1/3(area of the base)(height)
volume = 1/3(8x6)(9) = 3x48 = 144 in^3
answer: 144 in^3
Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.
Answer:
78.5cm^2
Step-by-step explanation:
Half your diameter to get a radius.
D = 10cm
10 divided by 2 = 5
Pi (3.14)
3.14 x 5^2
3.14 x 25 = 78.5cm^2
Answer:
3 gallons of carpet shampoo
Step-by-step explanation:
room area: 16 * 15 = 240 ft
1 gallon carpet shampoo: 80 ft
240/80 = 3
3 gallons of carpet shampoo are needed.
Answer:
x = 10
Step-by-step explanation:
First, distribute:
Next, subtract 
from both sides:
(multiply by 2 to get common denominator, 
)
Next, subtract 
from both sides:
(multiply 
by 2 to get common denominator, 
)
⇒ 
Next, multiply both sides by 10:
FInally, divide both sides by -1:
x = 10
