9514 1404 393
Answer:
- area: 114 square units
- perimeter: 44 units
Step-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
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The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter
The height of the prism is 12 feet.
The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.
Given that A water company drills 2 wells to provide additional water for a small community. The cost in dollars to drill and service the wells for y years is represented by the expression 16y² + 48y and asked to factorize the equation
Factorization:
A number or other mathematical object is factored (or factorised, see variants in English spelling) or factored by a number of factors, often smaller or simpler things of the same sort.
⇒16y² + 48y=16y(y+4)
G.C.F:
The greatest common factor, which is the product of two or more numbers, is the biggest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's components have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF)
The highest common factor of 16 and 48 is 16
Therefore, G.C.F of 16 and 48 is 16
Therefore,The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.
Learn more about Factorization here:
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Answer:
x = -2
Step-by-step explanation:
