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marshall27 [118]
3 years ago
7

Find the area of the four walls of a cubical room whose side measures 5m. Find the cost of white washing the room at the rate of

`23 per square metre.
Mathematics
1 answer:
NikAS [45]3 years ago
7 0
We know that one wall side is 5m.
To find the area of one wall, we do 5²=25m²
We know there is 4 walls. So we have to find total area of all four walls.
Which is 25×4=100m²
To find the total cost of white washing the room, we have to do:
100(total area)×23(cost per m²)=$2300
So the total cost of the area is $2300
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15 meals x $0.80 = $12.
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If one movie ticket is $3 then she must have purchased 2 with $6.

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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
Harman [31]
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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Answer:D

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