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Rasek [7]
3 years ago
7

Question 1 (short fill-in)

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0
Using PEMDAS, u know to multiply 4 by 9 first which results in 45. Now comes adding or subtracting. We must work from left to right, therefore we add 45 and 6 first. U get 39 if u do the math. Then we must subtract 3 from 39 so ur answer should be 36.
12345 [234]3 years ago
4 0
You would use PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). This means you would use multiplication first because it is before addition or subtraction. That means you would do 4*9 = 36. So now you have 36 + 6 - 3. Since the next step is adding, add 6 to 36, and you will get 42. Then subtract 3 from 42 to get your final answer of 39. Hope this helps. Let me know if you don't understand something, and feel free to ask more questions.
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nadezda [96]
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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

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m_2

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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)
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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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3 years ago
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