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3 years ago

6

A wall of a building is 22 inches wide ten inches is concrete 8 inches is brick and 4 inches is limestone. What fraction of the

wall is brick

2 answers:

velikii [3]3 years ago

7 0

The fraction of brick is 4/11. Hope I was able to help

ArbitrLikvidat [17]3 years ago

7 0

8 inches of brick out of a total of 22 inches of wall thickness comes to

8/22, or 4/11. Four elevenths of the wall thickness is made up of brick.

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

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ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

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Last 2 questions please help

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4.
Minimum: 20
First Quartile: 44
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Third Quartile: 57
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