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
Gnom [1K]
3 years ago
13

What is the equation of a line that passes thorough the point (9,-3) and is parallel yo the line whose equation is 2x-3y=6?

Mathematics
2 answers:
schepotkina [342]3 years ago
5 0

Answer:

y+3=2/3(x-9)

Step-by-step explanation:

2x-3y=6

-3y=-2x+6

y=2/3x-2

This means that any line parallel to it must have a slope of 2/3 as well. Therefore, the equation of this line, in point slope form, is:

y+3=2/3(x-9)

Hope this helps!

inysia [295]3 years ago
5 0

Answer:

y = 2/3 - 9

Step-by-step explanation:

1. rearrange the equation

-3y = -2x + 6

y = 2/3 - 2

2. because it is parallel, the gradient will be the same.  substitute into y - y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2/3 - 6

y = 2/3 - 9

You might be interested in
A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together
dybincka [34]

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

The equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

<h3>What is allegation?</h3>

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

Given information-

A scientist needs 10 L of a solution that is 60% acid.

The percentage of two acid solution are 50% and 90%.

Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.

Variable<em> y </em>represent the number of liters of the 90% solution.

Quantity of acid from 50% solution is 0.5x liters, and quantity of acid from 90% solution is 0.9x liters.

As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,

a=10\times\dfrac{60}{100} \\a=6

Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,

0.5x+0.9y=6

This is the required equation.

Hence the equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

Learn more about the mixture and allegation  here;

brainly.com/question/24372098

8 0
2 years ago
Is 28 cups greater or less than 14 Pints
marissa [1.9K]
Short answer: NO.

28 cups is exactly equal to 14 pints. (There are 2 cups per pint.)
3 0
3 years ago
Find the measure of angle y, 38,41,19
astra-53 [7]
If this is DMS then the answer is 38.68861111 degrees
8 0
2 years ago
Suppose you receive a $50 gift certificate to the citywide music and books store. All CDs at the store cost $9.99 and all books
Zanzabum
Whats the question I don't get it
7 0
3 years ago
There are 1.67 x 10^21 molecules in a drop of water. How many molecules are in 100 drops of water? Write in scientific notation.
likoan [24]
3.34x10^23 molecules are in a 100g of water
8 0
2 years ago
Other questions:
  • Which classification best describes the following system of equations?
    13·2 answers
  • What 2 numbers can you multiply to get 31? can 31 get into smaller groups?
    13·1 answer
  • Can someone help me please and thank you
    6·1 answer
  • While driving your rental car on your trip to Europe, you find that you are getting 12.4 kilometers per liter of gasoline. What
    15·1 answer
  • Using the volume of a cylinder formula. Calculate the volume of the cylinder. *
    5·1 answer
  • Which of the following fractions compares BC to BD? coordinate plane with segment BD at B 0 comma 1 and D 5 comma 1; point C is
    8·1 answer
  • A random sample of 120 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviatio
    15·1 answer
  • Look at the triangle:
    9·1 answer
  • The weights of five grapefruits are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. using the clustering es
    8·1 answer
  • Answerrrrrrrrrrrr plzzzzzzzzzzz
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!