Answer:
3x²(4x-3)
Step by step explanation:
Factorise 12x³-9x²
first, find the HCF of the terms.
the HCF is 3x²
Then you can use the HCF to multiply all terms, each divided by the HCF.
3x²(12x³/3x²-9x²/3x²)
Dividing, we'll have
3x²(4x-3)
Answer:
-5p-55
Step-by-step explanation:
multiply -5 by p and -5 by 11
You want to find the volume inside the hemisphere
(i.e. inside the sphere but above the plane
) and outside the cylinder
. Call this region
.
In cylindrical coordinates, we have



(where
)


A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B) .5*height^2 -3.5*height = 60
B) .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
**************************************************************
Double-Check
.5 * 15 * 8 = 60
Answer:
238
Step-by-step explanation:
299+428-62-106-126-195
727-62-106-126-195
665-106-126-195
559-126-195
433-195
238