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
Paladinen [302]
3 years ago
10

Write the equation for a line perpendicular to y=-3x+18 that goes through the point (-12,6)

Mathematics
1 answer:
Hatshy [7]3 years ago
5 0

Answer:

y=\frac{1}{3} x -14

Step-by-step explanation:

The equation of the line you will find should be in the form y =mx+c , where m is the gradient and c is the y intercept.

The gradient of a line that is perpendicular to a line [of a known gradient] is the negative reciprocal of the gradient of the first. i.e. if a is the known gradient and the perpendicular gradient is b, ab = -1. Therefore the -3b=-1 and b= 1/3

you can now write y = mx +c as y = 1/3x +c

As you have been given a coordinate, you can input these values into y= 1/3x + c

-12 = 1/3(6) +c

-12 - 2 = c

c = -14

hence the equation of the line is y= 1/3x -14

You might be interested in
The radius of the dinner table is 12.5mm calculate the area of the dinner table by using 3.14 to two decimal places
Makovka662 [10]

Answer:

......

Step-by-step explanation:

7 0
3 years ago
Cesar turned in his third research report, his teacher said that he had completed 20%of the reports for the school year, how man
AleksAgata [21]

Answer:

Cesar will be doing  15 research reports during the school year.

Step-by-step explanation:

Given:

Number of research report completed = 3

Percentage of the report completed for school year = 20%

We need to find total number of research report completed during school year.

Solution:

Let the total number of research report completed during school year be 'x'.

Now we can say that;

Number of research report completed is equal to Percentage of the report completed for school year multiplied by total number of research report completed during school year and then divided by 100.

framing in equation form we get;

3=\frac{20}{100}\times x\\\\3=0.2x

Dividing both side by 0.2 we get;

\frac{3}{0.2}=\frac{0.2x}{0.2}\\\\x=15

Hence Cesar will be doing  15 research reports during the school year.

6 0
3 years ago
Find the sine and cosine of the given angle<br> 120°
SIZIF [17.4K]

Answer:

By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2

Step-by-step explanation:

please mark brainlist

3 0
2 years ago
G(X)= 6X - 3<br> What is g-1 (9)
harkovskaia [24]
G(X)=6X-3
Y=6X-3
X=6Y-3
X+3=6Y
Y=(X+3)/6
G^-1(9)=(X+3)/6
G^-1(9)=(9+3)/6
G^-1(9)=2
6 0
3 years ago
A party rental company has chairs and tables for rent. The total cost to rent
Tema [17]
2c+5t=43

c=(43-5t)/2

8c+3t=36 and using c found above in this equation gives you:

4(43-5t)+3t=36

172-20t+3t=36

-17t=-136

t=8, and since c=(43-5t)/2

c=1.5

So a table costs $8.00 to rent and a chair costs $1.50
5 0
3 years ago
Other questions:
  • Which are partial products for 89 × 25?
    9·1 answer
  • In 1995 Mexico's population was 92,202,000. That same year Mexico's land area was 756,066 square miles and the U.S.A.'s land are
    9·1 answer
  • HELP! Match the range of the function f(x)=x^2+2x-1 to its domain
    5·1 answer
  • Elliott is baking cookies. For one batch
    6·1 answer
  • Suppose you deposit $5,000 in a savings account that earns 3% annual interest. If you make no other withdrawals or deposits, how
    8·2 answers
  • What is bigger 16 inches or 1 1/2 feet?
    15·2 answers
  • What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?
    5·1 answer
  • Suppose that when Emma was born, her grandparents deposited $20,000 into an account paying 5% interest compounded quarterly. Wha
    5·1 answer
  • What is 10 x 42 – 6 x 3 + 3 ? Evaluating expressions with Exponents​
    12·1 answer
  • Again? lol sry...<br><br> :)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!