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nirvana33 [79]
2 years ago
13

Write the equation of a line perpendicular to 9x−4y=−5 that passes through the point ​(−9​,3​).

Mathematics
1 answer:
Oksana_A [137]2 years ago
3 0

Answer:

4x + 9y = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x - 4y = - 5 ( subtract 9x from both sides )

- 4y = - 9x - 5 ( divide terms by - 4 )

y = \frac{9}{4} x + \frac{5}{4} ← in slope- intercept form

with slope m = \frac{9}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{9}{4} } = - \frac{4}{9} , then

y = - \frac{4}{9} x + c ← is the partial equation

To find c substitute (- 9, 3 ) into the partial equation

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = - \frac{4}{9} x - 1 ( multiply through by 9 to clear the fraction )

9y = - 4x - 9 ( add 4x to both sides )

4x + 9y = - 9 ← equation in standard form

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Answer:

x² - 5x = 14

x = -2   or   x = 7

Step-by-step explanation:

x² - 5x = 14

x² - 5x - 14 = 0

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x = -2   or   x = 7

4 0
2 years ago
A car costs 20% less this year than last year. Last year, the car cost 5% less than the year before. The price of the car this y
Tems11 [23]

Answer:

The answer is 11,374

Step-by-step explanation:

First we find 5% of 9,400 is.

9,400 * 5% = 470

Next we add 9,400 with 470 then multiply by 20%

9,400 + 470 = 9,870

9,870 * 20% = 1974

Next we add.

9,870 + 1,974 = 11,374

So, the answer is 11,374

Hope this helps! :)

3 0
3 years ago
Seth invested a certain amount of money and got back an amount of $ 8400. If
kupik [55]

Answer:

$7700

Step-by-step explanation:

amount invested + interest = total

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Answer: $7700

5 0
2 years ago
What is thirty times twenty
wariber [46]

Answer:

600

Step-by-step explanation:

How to do it in your head (secret):

3*2 = 6

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30*20 = 600

:D

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3 years ago
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