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tangare [24]
3 years ago
5

A square banner has an area of (4x^2-12x+9) square inches. Write an expression for the perimeter of the banner.

Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0
The equation can be written as (2x-3)^2
Ans since it is square, then we can take the root of the equation to find on side of the square, which is (2x-3) and by multiplying it by4, we can find the perimeter.
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<span>Let y= original side So A = LW 60 = (y+15)(y-13) (y+15)(y-13) = 60 y^2 + 2y - 195 = 60 y^2 + 2y- 195 - 60 = 0 y = -17 or y= 15 Toss out the negative solution to get y= 15 as the only solution. So the square has a side length of 15 meters. The area of this square is 15^2 = 15*15 = 225 square meters.</span>
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Vladimir [108]

Answer:

53.13°

Step-by-step explanation:

Using Sine rule

b / Sin B = a / Sin A

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3 years ago
Write the expanded form of the expression. <br> -1/2 (y - x) = ?
morpeh [17]

Answer:

The expanded form of the expression -\frac{1}{2}(y-x) is \mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}

Step-by-step explanation:

We need to write expanded form of the expression -\frac{1}{2}(y-x)

For expansion we will use distributive property of multiplication over addition

a(b+c)=ab+ac

Applying above rule:

-\frac{1}{2}(y-x)\\=-\frac{1}{2}(y)-(-\frac{1}{2}(x))\\=-\frac{1}{2}(y)+\frac{1}{2}(x)

So, the expanded form of the expression -\frac{1}{2}(y-x) is \mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}

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The correct answer to place y minus 12 in an algebraic expression is simply

y - 12

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3 years ago
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