1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nirvana33 [79]
3 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]3 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

You might be interested in
What do the numbers listed for an element on the periodic table represent?
maria [59]
Im sure you have your answer by now but would you mind posting the answer
8 0
3 years ago
What is the best approximation for the area of a circle with a diameter of 19 meters?
FromTheMoon [43]
A = \pi r^{2} is the equation used for determining area from radius.  We're given diameter, so to get the radius simply divide by 2. 19/2 = 9.5.

A = (3.14)(9.5)^{2}, when solved, equals 283.385 m^(2).  After rounding to the nearest tenth, we get 283.4 m^{2}
8 0
3 years ago
Read 2 more answers
Jan's age is three years less than twice tritts age. The sum of their ages is 30. Find their ages.
Stells [14]
Jans age is 31 and tritts age is 35
3 0
3 years ago
Read 2 more answers
If w = t and t = 9, what is the value of w?<br> –9<br> –1<br> 1<br> 9
9966 [12]

Answer:

9

Step-by-step explanation:

if t =9 and also t=w then w=9

6 0
3 years ago
Burger King sells burgers for $3.50 per burger. On Fridays, you can buy 2 burgers and get 1 free. They sold 500 burgers in 1 wee
faust18 [17]

Answer:

More information is needed, maximum weekly profit is $1750.

Step-by-step explanation:

The maximum profit would assume Burger King does not sell any burgers on Friday, therefore all 500 burgers were sold at $3.50. 500*$3.50 = $1750 in maximum earnings for the week. More information is needed about the split between the burgers sold over the week.

Maybe the question was trying to say 500 burgers were sold on Friday. In that case, assuming every customer got three burgers, 500/3 = 166.6 customers, rounding down because you cannot have half a customer, 166 customers on Friday. Each customer paid for two burgers 166*2*$3.50 = $1162 in earnings on Friday.

8 0
3 years ago
Other questions:
  • An arrangement of two dimensionals figures that can be folded to make a three dimensionals figure
    14·1 answer
  • What is the final amount if 2162 is decreased by 3% followed by a further 3% decrease?
    15·1 answer
  • What is the volume of a cylinder with a height of 19.1 in and a base with a diameter of
    11·1 answer
  • Find the length of side AC. <br> A) 5 3 <br> B) 5 2 <br> C) 10 2 <br> D) 5 2 2
    8·1 answer
  • if i had 2 cookies and one of my friends asked for 1, then another friend asked for 1, then another friend asked for one. what d
    11·2 answers
  • (1 x2) x (3 x 2) x (1 x 3) = ?
    14·1 answer
  • If I wakes for 1/2 an hour, walks for 1/3 of an hour, and jogs for 1/4 of
    9·1 answer
  • What’s 20/10 simplified??
    14·2 answers
  • Hello all! Please help me out with this.
    10·1 answer
  • astronomers estimate that there are about 10 to the power of 11 galaxics in the universe and that each galexy contains about 10
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!