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DanielleElmas [232]
4 years ago
12

Please Help! Brainliest Answer! Thank you

Mathematics
1 answer:
GrogVix [38]4 years ago
4 0

Answer:

<h2>B.  27.73 ft.</h2><h2 />

Step-by-step explanation:

see attached image.

the distance between the two person standing on opposite

of a rectangular courtyard is by using Pythagorean theorem:

x² = 25² + 12²

x = \sqrt{625 + 144}

x = 27.73 ft.

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Answer: It's a 180 degree angle.

Step-by-step explanation:

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Income amelia has a job babysitting for a neighbor. She is paid $20 plus $2.50 for each hour on the job. If amelia wants to earn
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4 0
3 years ago
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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