Answer:
Step-by-step explanation:
P(x)= x³ - x² - 18
Q(x) = P(2x-1)
= (2x-1)³ - (2x-1)² -18
= (2x)³ - 3*(2x)² * 1 + 3*2x* 1² - 1³ - [ (2x)² - 2*2x*1 + 1 ] - 18
=8x³ - 12x² + 6x - 1 - [4x² - 4x +1 ] - 18
= 8x³ - 12x² + 6x - 1 - 4x² + 4x - 1 - 18
= 8x³ - 16x² + 10x - 20
Hint : (a-b)³ = a³-3a²b+3ab²-b³
(a-b)² = a² -2ab + b²
The answer is the slope m=1
Answer:
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Step-by-step explanation:
Example:
12+24
GCF:
12: 1,2,3,4,6,12
24: 1,2,3,4,6,8,24
Common factors: 1,2,3,4,6
Greatest factor: 6
Divide:
12 divided 6= 2
24 divided 6= 4
12+24= 6x(2+4)
Volume of a quadrangular pyramid=(1/3)bh
b=base
h=height
b=area of the base=area of a square=8.4 ft * 8.4 ft=70.56 ft²
Pythagoras theorem:
hypotenuse²=leg₁² + leg₂²
data:
hypotenuse=9.6 ft
leg₁=height=h
leg₂=8.4 ft /2=4.2 ft
(9.6 ft)²= h² + (4.2 ft)²
92.16 ft²=h²+17.64 ft²
h²=92.16 ft²-17.64 ft²
h²=74.52 ft²
h=√(74.52 ft²)=8.63 ft.
Volume of this quadrangular pyramid=(1/3)(70.56 ft²)(8.63 ft)=202.9 ft³≈202.3 ft³
Answer: ≈202.3 ft³
