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Anuta_ua [19.1K]
3 years ago
11

Brandon is building a desk that is 42 inches long. A piece of wood that he bought is 4 feet long. How much does Brandon have to

cut off that piece of wood to make it the same length as his desk?
A. 2 inches B. 6 inches C. 12 inches D. 2 feet
Mathematics
2 answers:
Ilya [14]3 years ago
5 0

Answer:

6 inches

Step-by-step explanation:

there are 12 inches in a foot

4 ft * 12 = 48 inches

48 - 42 = 6

Cut off 6 inches

MakcuM [25]3 years ago
3 0
The desk is 42 inches so we do 4*12=48 48-42=6 your answer is 6 inches
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Answer:

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Step-by-step explanation:

1st boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

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Equation:

y=ax^2 -2ax+c

The y-coordinate of the vertex:

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Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1

Solve:

c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}

Parabola equation:

y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}

2nd boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0

Equation:

y=ax^2+c

The y-coordinate of the vertex:

y_v=a\cdot 0^2+c\Rightarrow c=-7

Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-7\\ \\64a-7=1

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a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7

Parabola equation:

y=\dfrac{1}{8}x^2 -7

System of two equations:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

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Answer:

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