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
Fantom [35]
2 years ago
14

Write an equation of the line perpendicular to the line 8x+15y=12 and containing the point (11,17) write the answer in standard

form
Mathematics
1 answer:
jek_recluse [69]2 years ago
3 0

The slope of a line perpendicular to another line has a slope which is the negative reciprocal of that line or:

m1 = -1/m2

First, we convert the given equation into slope-intercept form of a line: y = mx + b

8x + 15y = 12

15y = -8x + 12

y = (-8/15) x + 0.8

m1 = -8 / 15

 

Therefore the slope of the perpendicular line is:

m2 = 15 / 8

 

Since the perpendicular line crosses the point (11, 17), therefore using the slope formula:

m = (y2 – y1) / (x2 – x1)

15 / 8 = (y2 – 17) / (x2 – 11)

1.875 (x2 – 11) = y2 – 17

1.875 x2 – 20.625 = y2 – 17

y2 = 1.875 x2 – 3.625

y = (15/8) x – 3.625

multiplying both sides by 8:

8y = 15x – 29

rewriting in standard form:

<span>15x – 8y = 29                (ANSWER)</span>

You might be interested in
Which equation represents a quadratic function?<br> y = x2<br> y = 2x<br><br> y =1/x^2
ehidna [41]

Answer:

  y = x²

Step-by-step explanation:

A quadratic function is a polynomial function that has a variable to the power of 2 as the highest degree term. y = 1/x^2 is not a polynomial. y=2x is a linear function.

  y = x^2 is a quadratic function

3 0
3 years ago
A puzzle piece in the shape of a triangle has perimeter 25 centimeters. Two sides of the triangle are each twice as long as the
Anestetic [448]

Answer: the shortest side is 10 centimeters.

The length of each of the other sides is 10 centimeters each.

Step-by-step explanation:

Let x represent the length of the shortest side of the triangle.

Two sides of the triangle are each twice as long as the shortest side. This means that the length of the two sides would be 2x.

The perimeter of a triangle is the sum of each side of the triangle.

The puzzle piece in the shape of a triangle has perimeter 25 centimeters. This means that

x + 2x + 2x = 25

5x = 25

x = 25/5

x = 5

The length of each of the two sides is

2x = 2 × 5 = 10

3 0
3 years ago
What do you do when your getting bullied?
GuDViN [60]

If you’re being bullied there’s a lot you can do. While different tactics work for different people, the first thing you should do is try to work it out yourself.

Depending on how bad the bullying is (and as long as you don’t feel at risk, scared or physically threatened) you might want to try and work it out yourself – as a first step.

The more empowered you are, and the more you can help yourself, the better chance you have to stop the bully.

If the bully doesn’t change their behavior, that’s when talking to someone else can be really helpful.

The bully wants you to react. Their goal is to take away your power, make you sad and scared. And if you show them you are not sad and scared, they will often lose interest and they cannot take away your power.

Remember they want to upset you constantly so you get angry. If you don’t get angry, the bully will lose their own power.

Remember that bullies are human - they eat, sleep and live just like you do. The only difference is that you are NOT a bully! Bullies act the way they do because they lack the attention or parental love and nurturing that you have. They are insecure and bully only to feel powerful.

Bullies look for a reaction from you and often lose interest if they aren't given the satisfaction of getting one.

8 0
3 years ago
Read 2 more answers
Please help me find the value of X
Ymorist [56]

Answer:

Is this

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Match the following items.
ASHA 777 [7]
1 is milli. 2 is kilo. 3 is centi. 4 is meter. 5 is kilogram. 6 is liter.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the total surface area of this rectangular pyramid?<br><br><br> square meters
    10·2 answers
  • Find the volume of the cube 8cm
    8·2 answers
  • HELP ASAP WITH ASSIGNMENT
    14·1 answer
  • In 2009, the life expectancy is about 80 years. Assume that, due to modern advances, life expectancy gains 5.5 years every decad
    13·1 answer
  • Simplify. Show your work.<br><br> (3x−5)(2x+7)
    10·2 answers
  • PLEASE ANSWER I NEED LOTS OF HELP!!!!!!!!!!!!!!
    12·1 answer
  • Write the word sentence as an equations. you don't need to solve it
    9·2 answers
  • The original price of a cell phone is $190. The sales tax is 4.9%. What is the total cost?
    5·1 answer
  • A car worth $14,000 depreciates at a rate of 4% per month. How long until it is worth $10,000?​
    11·2 answers
  • Find x.<br> Do not round your answer<br> 12 cm<br> 6 cm<br> 5 cm
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!