X^2+3x=24, halve the linear coefficient, square it, and add it to both sides
In this case (3/2)^2=2.25
x^2+3x+2.25=26.25 now the left side is a perfect square...
(x+1.5)^2=26.25 take the square root of both sides
x+1.5=±√26.25 subtract 1.5 from both sides
x=-1.5±√26.25
x=-1.5-√26.25 and -1.5+√26.25
x≈ -6.62 and 3.62
A. I Believe because Data is collected by sample?
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Answer:
Mia spent 68 dollars.
Step-by-step explanation:
The equation would be 2(13.50) + 4(10.25) = x
Solving for the first part, you get 27 for adult tickets and 41 for the children tickets. When you add the two values, you get 68.
The question is an illustration of volume, and the amount of water in the bucket at 45% full is 2.25 gallons
<h3>How to determine the amount of water?</h3>
The capacity of the bucket is given as:
Bucket = 5 gallons
At 45% full, we have:
Capacity = 45% * 5 gallons
Evaluate the product
Capacity = 2.25 gallons
Hence, the amount of water in the bucket at 45% full is 2.25 gallons
Read more about volumes at:
brainly.com/question/1972490
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