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photoshop1234 [79]
2 years ago
6

Simplify the polynomial. Then find its value for the given value of the variable.

Mathematics
1 answer:
zloy xaker [14]2 years ago
4 0

Answer:

  • simplified: xy²
  • value: 4

Step-by-step explanation:

The polynomial is simplified by combining like terms. Like terms are identified more easily if the variables in each term are written in the same order. We usually like to use alphabetical order. Two of the like terms have opposite coefficients, so they cancel. The result is ...

  (3 1/2 -2 1/2)xy² +(-2 4/5 +2 4/5)x²y

  = xy² . . . . simplified expression

__

For x = 1, y = -2, the value of the expression is ...

  (1)(-2)² = 4

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A cone with height h and radius r has volume V = 13πr^2h. If the cone has a height of 6 in. and volume V = 8πx^2 + 24πx + 18π, w
torisob [31]

ANSWER

r = x -  \frac{3}{2}

EXPLANATION

The volume of the cone is

V=8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi

The height of the is 6 inches.

We put the values into the volume of cone to get.

8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi =  \frac{1}{3} \times  \pi \:  {r}^{2}  \times 6

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4 {x}^{2}  + 12x + 9 = {r}^{2}

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Read 2 more answers
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