Answer:
(a) 
Step-by-step explanation:
The question is incomplete. (See comment for complete question).
From the completed question, we have:
--- number of pyramids
Required
An expression for the area of the base
The total base length of the pyramid represents the perimeter of the base.
And since the base is a square, then the following relationship exist.
Where L represents the length of each side.
This gives
Make L the subject
The area of the base is then calculated as:
The answer would be c. because 2-1= 1 and 3/5x - 1/5x= 2/5x. All adding up to 1+2/5x.
We can simply multiply the roots together to find the original function.
(x + 2)(x - 4)(x - 4)(x - 3)
FOIL.
x^2 - 4x + 2x - 8(x - 4)(x - 3)
Combine like terms.
x^2 - 2x - 8(x - 4)(x - 3)
FOIL.
x^3 - 2x^2 - 8x - 4x^2 + 8x + 32(x - 3)
Combine like terms.
x^3 - 6x^2 + 32(x - 3)
FOIL.
x^4 - 6x^3 + 32x - 3x^3 + 18x^2 - 96
Combine like terms.
<h3>x^4 - 9x^3 + 18x^2 + 32x - 96 is the original function with the given roots.</h3>
Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
Answer:
⇒ Add 8x to both sides of the inequality
⇒ x>1/5
Step-by-step explanation:
First, you subtract by 5 from both sides of equation.
5-8x-5<2x+3-5
Solve.
-8x<2x-2
Then subtract by 2x from both sides of equation.
-8x-2x<2x-2-2x
Solve.
-10x<-2
Multiply by -1 from both sides of equation.
(-10x)(-1)>(-2)(-1)
Solve.
10x>2
Divide by 10 from both sides of equation.
10x/10>2/10
Solve to find the answer.
2/10=10/2=5 2/2=1=1/5
x>1/5 is final answer.
Hope this helps!
