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ikadub [295]
4 years ago
12

Compute the square footage of carpet needed to cover a room 12' 3" x 18' 4".

Mathematics
1 answer:
baherus [9]4 years ago
4 0

convert inches to feet

3/12 = 0.25 feet so 12'3" = 12.25 feet

4/12 = 0.33 feet so 18'4" = 18.33 feet

 now multiply both of them


12.25 x 18.33 = 224.54 square feet

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Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
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Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Substitute m= -2 into the equation:

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Substitute c=2 into the equation:

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