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romanna [79]
3 years ago
7

If a semi truck's trailer is 40 feet long, 10 feet wide, and has a height of 8 feet, what is its volume?

Mathematics
1 answer:
Temka [501]3 years ago
8 0

First multiply 40 and 10 to get 400. Then multiply 400 by 8 to get 3,200.

Your answer would be: 3,200

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stira [4]

Answer:

The correct option is (D) y=\frac{4}{7}\ x+\frac{1}{7}.

Step-by-step explanation:

The two-point form for the equation of straight line is:

(y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})

The two points provided are:

A = (5, 3)

B = (12, 7)

Compute the equation of the trend line as follows:

(y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}

Thus, the equation of the trend line is y=\frac{4}{7}\ x+\frac{1}{7}.

The correct option is (D).

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Your teacher announced a 50 point math quiz
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Step-by-step explanation:

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3 years ago
Draw the graph of the line that is perpendicular to Y= 4X +1 and goes through the point (2, 3)
spayn [35]

Given:

\begin{gathered} y=4x+1 \\ \text{ point }(2,3) \end{gathered}

To find:

Draw a graph of a line that is perpendicular to the given line and passing through a given point.

Explanation:

As we know that relation between two slopes of perpendicular slopes of lines:

m_1.m_2=-1

Slope of given line y = 4x + 1 is:

m_2=4

So, the slope of line perpendicular to given line is:

m_2=-\frac{1}{4}

Also, so line equation that is perpendicular to given line is:

y=-\frac{1}{4}x+c...........(i)

Also, the required line is passing thorugh given point (2, 3), i.e.,

\begin{gathered} 3=-\frac{1}{4}(2)+c \\ c=3+\frac{1}{2} \\ c=\frac{7}{2} \end{gathered}

So, line equation that is perpendicular to given line is:

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The required graph of line is:

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