Expand and simplify (2x−12)^2. Is this a special product?

Mathematics

1 answer:

Rom4ik [11]2 years ago

8 0

Answer:

Step-by-step explanation:

(2x−12)^2 can be factored into 2^2*(x - 6)^2, which in turn becomes

4(x^2 - 12x + 36). Yes, this is a special product of the form

(a - b)^2 = a^2 - 2ab + b^2.

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The length of a rectangle is five times it’s width if the area of the rectangle is 320m^2 find its perimeter

BlackZzzverrR [31]

Answer:

Perimeter of the rectangle = 96 meters.

Step-by-step explanation:

Let the width of the rectangle = K

So, the length of the rectangle = 5K

Area = 320 sq meters

Now, Area of a Rectangle = Length x Width

⇒ 320 = K x 5K

or, $5K^{2} = 320\\or, K^{2} = \frac{320}{5} = 64$

So, the vlue of K = 8 or, K = -8

But as K represents a length hence, K ≠ -8

So, the <u>width of the rectangle = 8 meters</u>

and the<u> length of the rectangle = 8 x 5 = 40 meters</u>

Now, Perimeter = 2(length + width)

= 2(8 + 40) = 96 meters.

So, the perimeter of the rectangle = 96 meters.

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3 years ago

Emily gives her bird 1/8 cup of bird seeds along with 1/3 cup of grains each day. How much food is given each day to the bird

ANEK [815]

Answer:

11/24 cup

Step-by-step explanation:

What you would do is add 1/8 plus 1/3. To add two fractions, each much have the same denominator. In this case, you would need to multiply 1/8 into 3/24 by multiplying 1/8 by 3 on the denominator and numerator. For 1/3, multiply each the numerator and denominator by 8 getting the fraction 8/24. Now you can line up each fraction and add the numerators, keeping the denominator at 24. That answer would be 11/24. This cannot be simplified, so the answer is 11/24 cup of food.

Whenever you are confused with assignments, it is best to tell your parent to help you or teacher the next day. Hope this helps though!

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3 years ago

What’s 7^2+15\7^2 ?

Elis [28]

Decimal: )49.306122)

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3 years ago

Wendell paid $12.85 for sunglasses and $2.75 for chips and a drink. How much did Wendell spend?

erma4kov [3.2K]

15.6 dollars s how much money Wendell spent

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