Volume of box with side length of 5 = 5^3 = 125
Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125
Ratio = 125/(4pi/3)*125 = 1/(4pi/3) = 3/(4pi)
Answer: B
Answer:
y=3
Step-by-step explanation:
y + 3 = -y + 9
y + y = 9 - 3
2*y = 6
y = 6/2
y = 3
Answer:
B
Step-by-step explanation:
(f+g)(x)=f(x)+g(x)
3x+1+x2-6 = x2+3x-5
We define variables:
x = represent the width of the field
y = represent the length of the field
We write the perimeter (with no fencing along the river):
2400 = 2x + y
We clear y:
y = 2400-2x
Answer:
an expression for the length of the field as a function of x is:
y = 2400-2x
Hello,
x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)
Let's use Horner's division
.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3
The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3
Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0
And here, Mehek are there sufficients explanations?
