If x = 1.5 is the only solution to the equation 4x² - ax + b =0 then
4x² - ax + b = 4(x - 1.5)² |use p² - 2pq + q² = (p - q)²
4x² - ax + b = 4(x² - 2x · 1.5 + 1.5²)
4x² - ax + b = 4(x² - 3x + 2.25)
4x² - ax + b = 4x² - 12x + 9 |subtract 4x² from both sides
-ax + b = -12x + 9
therefore
-a = -12 ⇒ a = 12 and b = 9
Answer:
108 pi
Step-by-step explanation:
The formula for volume of a cone is (1/3) * π * r² * h
36 pi = (1/3) * π * r² * h
108 pi= π * r² * h
108 = r² * h
Formula for volume of a cylinder: πr²h
108 pi
Answer:
A
Step-by-step explanation:
Answer:
The expression
can be combined because of the commutative property of addition.
Step-by-step explanation:
A monomial is a number, a variable or a product of a number and a variable where all exponents are whole numbers. That means that

all are examples of monomials.
The commutative property of addition says that changing the order of addends does not change the sum.
If we add
or
, the result will be same.
Therefore,
