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3 years ago

X^2+_x+36 What is the Perfect Square Trinomials?

Mathematics

1 answer:

Pie3 years ago

7 0

Answer:

Step-by-step explanation:

hello,

$36=6*6=6^2$

and

$(x+6)^2=x^2+12x+36$

so the missing term is 12 to get a perfect square trinomial

hope this helps

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3 years ago

Elijah and Riley are playing a board game. Elijah chooses the dragon for his game piece, and Riley chooses the cat for hers. The

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2 years ago

Please help me with this !!!

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3 years ago

What is the simplified expression for -3(2x-y)+2y+2(x+y)

JulijaS [17]

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7y - 4x

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3 years ago

You are choosing between two mugs. One has a base that is 5.5 inches in diameter and a height of 3 inches. The other has a base

professor190 [17]

We should choose mug 1 having volume of 71.24 inch³ ,with diameter 5.5 inches and height 3 inches holds the most !

Step-by-step explanation:

We have 2 mugs, One has a base that is 5.5 inches in diameter and a height of 3 inches. The other has a base of 4.5 inches in diameter and a height of 4 inches. Basically, mugs are cylinders so we will consider 2 cylinders .

To find which one holds the most we are supposed to find volume of both ,the one with maximum volume holds the most.

Part 1:

volume of cylinder 1 ( $V_{1}$ )= πr₁²h₁ ,

r₁ = radius of cylinder ⇒ $\frac{\text {diameter}}{2}=\frac{5.5}{2}=2.75 \text { inches }$

h₁ = height of cylinder ⇒ 3 inches

∴ $V_{1}$ = πr₁²h₁

⇒ 3.14×( 2.75 )²×3 ⇒ 71.24 inch³

Part 2:

volume of cylinder 2 ( $V_{2}$ )= πr₂²h₂

r₂ = radius of cylinder ⇒ $\frac{\text {diameter}}{2}=\frac{4.5}{2}=2.25 \text { inches }$

h₂ = height of cylinder ⇒ 4 inches

∴ $V_{2}$ = πr₂²h₂

⇒ 3.14×( 2.25 )²×4 ⇒ 63.59 inch³

∵ $V_{1}$ ( 71.24 inch³ ) > $V_{2}$ ( 63.59 inch³ ), mug 1 with diameter 5.5 inches and height 3 inches holds the most.

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3 years ago