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inn [45]
3 years ago
9

Tom needs to buy paint so that he can paint the emblem on the basketball court. The circular emblem has a diameter of 12 feet. I

f paint cans come in quarts, and it takes 1 quart to paint 50 square feet, how many quarts of paint will Tom have to buy? Use 3.14 for pi.
SAT
1 answer:
Vikki [24]3 years ago
8 0
Pues no entiendo como. Perdón pero no te puedo ayudar.
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Factor the expression into an equivalent form 12y^2-75.
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Hello oddworld7836!

\huge \boxed{\mathbb{QUESTION} \downarrow}

Factor the expression into an equivalent form 12y² - 75.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

12 y ^ { 2 } - 75

By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.

12 y ^ { 2 } - 75 \\  = 3\left(4y^{2}-25\right)

Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,

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12 y ^ { 2 } - 75 \\  =  \boxed{ \boxed{ \bf \: 3\left(2y-5\right)\left(2y+5\right) }}

We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.

__________________

Hope it'll help you!

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