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
Akimi4 [234]
3 years ago
9

Write the equation of a line that is perpendicular to the given line and that passes through the given point. y= 2/3x + 9 ; (–6,

5)
Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer:

y = - \frac{3}{2} x - 4

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 )

y = \frac{2}{3} x + 9 ← is in slope- intercept form

with slope m = \frac{2}{3}

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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{2}{3} } = - \frac{3}{2}, thus

y = - \frac{3}{2} x + c ← is the partial equation

To find c substitute (- 6, 5) into the partial equation

5 = 9 + c ⇒ c = 5 - 9 = - 4

y = - \frac{3}{2} x - 4 ← equation of perpendicular line

You might be interested in
A population of rabbits is described by the function R(t) = 100(2t/5), where t is measured in months and R is measured in rabbit
Savatey [412]

Answer and Step-by-step explanation: The graph is shown in the attachment.

a. ΔR on [1,2] is mathematically expressed as:

ΔR = R(2) - R(1)

which means difference of population of rabbits after 2 months and after 1 month.

R(1) = 100(\frac{2}{5}.1 )

R(1) = 100(\frac{2}{5} )

R(2) = 100(\frac{2}{5}.2 )

R(2) = 100(\frac{4}{5} )

\Delta R = 100(\frac{4}{5} )-100(\frac{2}{5} )

\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]

\Delta R= 40

Difference of rabbits between first and second months is 40.

b. R(0) = 100(\frac{2}{5} .0)

R(0) = 0

Initially, there no rabbits in the population.

c. R(10) = 100(\frac{2}{5}.10 )

R(10) = 400

In 10 months, there will be 400 rabbits.

d. R(t) = 500

500=100(\frac{2}{5}.t )

\frac{500}{100}=\frac{2}{5}.t

t = \frac{500.5}{100.2}

t = 12.5

In 12 and half months, population of rabbits will be 500.

3 0
3 years ago
Jamie has a cup holder that can hold 3 cups at a time. The cup holders are labeled a, b, and c. He has 3 different color cups (b
JulsSmile [24]

Answer:

6 ways.

Step-by-step explanation:

a, b, c

a, c, b

b, a, c

b, c, a

c, a, b

c, b, a

8 0
3 years ago
Which characteristics do the functions have in common? Select two options.
dlinn [17]

Range and y intercept are two characteristics they have in common

8 0
3 years ago
Find XS, VY, and YZ. I am very confused on what to do.​
Dafna1 [17]

Answer:

Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all  the way up to the U. I hope this helps!

7 0
3 years ago
Determine the measure of
Lorico [155]

Answer:

M: 74.579° = 74°34'43" = 1.30164

O: 49.421° = 49°25'17" = 0.86256 rad

4 0
2 years ago
Other questions:
  • Trinomial+binomial = what
    15·1 answer
  • Express the tax rate of $4.95 per $100 as a percent
    10·1 answer
  • The math 1 test has 20 questions worth a total of 100 points. The test consists of multiple choice questions worth 4 points each
    10·1 answer
  • What number do we divide by -5 to get 2
    12·2 answers
  • 42 less than the product of 28 and an unknown number is 154 what is the value of the unknown number
    15·2 answers
  • At work, you are calculating the cost of insulation for a customer. The customer would like to install his own insulation in an
    5·1 answer
  • Find the measurement and round to the nearest tenth.​
    12·1 answer
  • Find three consecutive odd integers whose sum is 13 more than twice the largest of the three integers.
    12·1 answer
  • Erin is comparing two rental car companies for an upcoming trip. The function
    8·1 answer
  • Look at the question
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!