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aleksandr82 [10.1K]

3 years ago

15

An art class is planning to paint a rectangular mural with an area of 60 square feet. It has to be at least 4 feet high but no m

ore than 6 feet high. The length and width have to be whole numbers. List all possible widths for the mural?

1 answer:

Katarina [22]3 years ago

5 0

4 Is the height. 5 is the width. 3 is the length. This is because all these numbers multiplied would equal 60 square ft.

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Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

MariettaO [177]

Answer:

$\displaystyle y=-\frac{1}{5}x+\frac{17}{5}$

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

$y=mx+b$

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

The given line has a slope m1=5, thus the slope of our required line is:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}$

The equation of the line now can be expressed as:

$\displaystyle y=-\frac{1}{5}x+b$

We need to find the value of b, which can be done by using the point (7,2):

$\displaystyle 2=-\frac{1}{5}*7+b$

Operating:

$\displaystyle 2=-\frac{7}{5}+b$

Multiplying by 5:

$10=-7+5b$

Operating:

$10+7=5b$

Solving for b:

$\displaystyle b=\frac{17}{5}$

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}$

7 0

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The diagram shows corresponding lengths in two similar figures. Find the ratio of the areas of the two figures.

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Your answer should be D. 49.81

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(85 + 84 + 78 + x) / 4 = 86
(247 + x) / 4 = 86
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