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Alenkinab [10]
3 years ago
7

I need help asap please!!!!

Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

x=12

<H = 94 degrees

Step-by-step explanation:

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Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2
sineoko [7]

For this case we have that by definition, the standard form of a linear equation is given by:

ax + by = c

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

m_ {1} * m_ {2} = - 1

We have the following point-slope equation of a line:

y+4 = -\frac {2} {3}(x-12)

The slope is:

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We find the slope m_ {2}of a perpendicular line:

m_ {2} = \frac {-1}{m_ {1}}\\m_ {2} = \frac {-1} {-\frac {2} {3}}\\m_ {2} = \frac{3} {2}

Thus, the equation is of the form:

y-y_ {0} = \frac {3} {2} (x-x_ {0})

We have the point through which the line passes:

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Thus, the equation is:

y - (- 3) = \frac {3} {2} (x-2)\\y + 3 = \frac {3} {2} (x-2)

We manipulate algebraically:

y + 3 = \frac{3} {2} x- \frac {3} {2} (2)\\y + 3 = \frac{3} {2} x-3

We add 3 to both sides of the equation:

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We multiply by 2 on both sides of the equation:

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We subtract 3x on both sides:

2y-3x + 12 = 0

We subtract 12 from both sides:

2y-3x = -12

ANswer:

-3x + 2y = -12

5 0
2 years ago
Just need a correct answer.
Mumz [18]
It is -3.
6x+12=-6
6x=-18
x=-3
4 0
2 years ago
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