Determine whether the following equation represents a direct variation If it does, find the constant of variation
2x + 3y = 0

Answers

Answer 1

Given:

The equation is

[tex]2x+3y=0[/tex]

To find:

Whether the equation represents a direct variation. If it does, find the constant of variation.

Solution:

The general equation of direct variation is

[tex]y=kx[/tex]               ...(i)

Where, k is the constant of variation.

The equation of direct variation is always true for (0,0).

The given equation is

[tex]2x+3y=0[/tex]

It can be written as

[tex]3y=-2x[/tex]

[tex]y=-\dfrac{2}{3}x[/tex]           ...(ii)

For x=0,

[tex]y=-\dfrac{2}{3}(0)[/tex]

[tex]y=0[/tex]

The given equation is true for (0,0). So, it represents a direct variation.

On comparing (i) and (ii), we get

[tex]k=-\dfrac{2}{3}[/tex]

Therefore, the constant of variation is [tex]-\dfrac{2}{3}[/tex].


Related Questions

Which number line shows the inequality n > -3?
A
-5 -4 -3 -2
-1
0
1
2 3 4 5
604
-5 -4 -3 -2 -
++>
3 4 5
O
1
2
+++04
-5 -4 -3 -2 -1 0 1
HHH
2 3 4 5
-->
1 2 3 4 5
-5 -4 -3 -2 -1
O

Answers

Answer:

the answer is A. that's my final ans

The number line which represents the solutions that is n > -3 is number line 1.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Any real number can be represented in two dimensions using a number line. Any number on the number line with a solid circle next to it refers to include that number followed by the rest of the values, and any number with a hollow circle refers to exclude that value from the list before the rest of the values.

The solutions represented by number line 1 are those where: n > -3.

Using special techniques, number lines are used to represent real numbers. It was Illustrated in number line 1.

Learn more about inequalities here:

https://brainly.com/question/27425770

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HELP ASAPP, Laura is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with special wallpaper. If she has a total of 1026 ft2 of wallpaper, how many boxes can she cover?

Answers

Answer:

9 boxes

Step-by-step explanation:

le
2. Amber is making a scratching post for her cat.
scratching post is composed of two rectangular
prisms with the dimensions shown. Amber plans
to cover all exposed faces, except for the bottom
face, with carpet. How many square inches of
carpet does she need?

Answers

Answer:

x4+6+7s

Step-by-step explanation:

Find m∠ J

Use a calculator. Enter only a number

Answers

Answer:

26 degrees.

Step-by-step explanation:

We are given

Side KL length which is 46. (let call that side j).Side JL length which is 93( let call that side k).Angle L=90.

We are trying to find angle measure of j.

Since we are given a side opposite of our angle we are trying to find and a side adjacent to the angle we are trying to find we are going to use tan ratio.

[tex] \tan(x) = \frac{opp}{adj} [/tex]

[tex] \tan(x) = \frac{46}{93} [/tex]

since we are trying to find the angle measure apply inverse trig function

[tex] \tan {}^{ - 1} ( \frac{opp}{adj} ) [/tex]

Plug 46 for opp and 93 for adj.

[tex] \tan {}^{ - 1} ( \frac{46}{93} ) [/tex]

which is about 26 degrees.

34. A store has a loyalty points program. When you
sign up, you get 15 points. You get 4 points with every
additional purchase at the store. Points can be
redeemed for discounts.
How many points will you have after shopping 30
times?

Answers

Answer:

135 points

Step-by-step explanation:

We can solve this easily, 30x4=120+15=135

So, after shopping 30 times you would have 120 points plus the 15 you got when making the account, in total 135 points.

OK CAN SOMEONE HELP ME OR NOT IM RUNNING OUT OF POINTS PLEASE HELP ME IM FRIC.KING BEGGING YOU

Answers

Answer:

1. m = 7

2. h = 1.5

3. b = -0.7

4. x = 20

5. a = 4.8

6. n = 30

7. y = 1.4

8. a = 28

9. b = -6

Step-by-step explanation:

Message me if you want me to explain each one.

HELP ME IM A 6TH
GRADER

Answers

Answer:

Its B, C, and D

Step-by-step explanation:

What is the correct equation for: fifteen less than a number is negative twenty?

Answers

Answer:

x - 15 = - 20

Step-by-step explanation:

x - 15 = - 20

Add 15 to each side:

x - 15 + 15 = - 20 + 15

x = - 5

can somebody help me please ​

Answers

Answer:

3x+2y=18.65

Step-by-step explanation:

anyone can help me with math

Answers

Answer:

Step-by-step explanation:

Stop cheating and then lying to yourselfpf and saying that you need help

Find the values of x and y. Write your answer in simplest form.
PLEASE HELP ILL MARK U THE BRAINLIEST!

Answers

x is 12 and y is 15 because of 3,4,5 triangles
x is 15.6
y is equal to 18
Use SOH CAH TOA to solve.

what is the value of x? given angle is 68 degrees?​

Answers

Answer:

68°

Step-by-step explanation:

x + 56 + 56 = 180

x = 180 - 56 - 56

x = 180 - 112

x = 68°

The value of x for the triangle with angles a,b, and x is 68°.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

We will assume that there is a triangle with three angles:

a, b, and x.

The sum of the three angles is 180°.

Now,

a + b + x = 180

a = b = 56°

x = 180 - (56 + 56)

x = 180 - 112

x  = 68°

Thus,

The value of x is 68°.

Learn more about triangles here:

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helpssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

are their any answers or you have to put in the answer?

HELP PLEASE#!!!!!!!!!!​

Answers

Answer:

8 i think

Step-by-step explanation:

17.2(20+45)−34(4.75)

Answers

Answer:

The correct answer is 956.5

Step-by-step explanation:

If Its wrong report me, if its right mark me brianliest plz


17.2(20+45)−34(4.75)

= 17.2(65)−34(4.75)

= 1118 - 34(4.75)

= 1118−161.5

= 956.5

10. There are sees in Mt. Pisher's PE class. There are so se gradies and 25 graders in the case
What is the rate of se graders to the graders in Mechers class
Plzzz help I’m taking g a test

Answers

Answer:

i dont under stand sorry i cant help sorry

List at least two ways a consumer can lower his or her mortgage interest rate.

Answers

Answer:

Here are five things you can do to reduce your mortgage rate when you refinance or purchase a home: Add one point to your credit score. Most non-government mortgage programs are priced by credit score, in 20-point tiers. If your FICO is 680 points, for example, you pay significantly less than if it's 679.

Step-by-step explanation:

I need help with question 2 on the attatched document.​

Answers

Answer:

I'm pretty sure its B but I'm not completely sure, I haven't done this in a while.

Step-by-step explanation:

Which statement about k(x)=-x2-2x+15 is true?

A The zeros are -3 and 5, because k(x)= -(x + 3)(x - 5).
B The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3).
C The zeros are -5 and -3, because k(x)= -(x + 5)(x + 3).
D The zeros are 3 and 5, because k(x)= -(x - 3)(x - 5).

Answers

Answer:

A

Step-by-step explanation:

Answer:

The zeros are -3 and 5, because k(x)= -(x + 3)(x - 5).

Step-by-step explanation:

point
below?
5x + 2°
137°
Your answer

Answers

Answer:

x = 27

Step-by-step explanation:

x = (137-2)/5 = 27

14 out of the 25 students passed the quiz. What percent of students passed the quiz ?

Answers

Answer:

56

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

14/25

The number above the bar is the numerator: 14

The number below the bar is the denominator: 25

Divide the numerator by the denominator to get fraction's value:

Val = 14 ÷ 25

Hoped it helped

what’s 2+5,,,,!!!!!’mmmmmmmmmwwwww

Answers

that’s so easy dude

it’s 87 duh

Hiiioo!!! Can someone please help with this❤️❤️❤️

Answers

Answer:

SSS

Step-by-step explanation:

because the triagles are pretty much the same the one on the left is half of the one on the right

I got similar SAS on mine

Can someone please help me, I don’t get this

Answers

Answer:

Sure Amaya  , the grouping is the parenthesis, right?

Step-by-step explanation:

so  just add up.. the things outside of the parenthesis

-  [tex]4^{2}[/tex] * 4

so exponents come first in the order of what to do... right?

[tex]4^{2}[/tex] =16    okay , got that part, the next part is

16 * 4 = 64   okay got that part,  now

- 64   is what is subtracted from the grouping   , got it?

Find the area of the regular polygon.

Answers

Answer:

1. 132.    .2     143

Step-by-step explanation:

A color laser printer marked with a price of $699 goes on sale for 30% off. If Joey has already saved up $325

Answers

Answer: 164.30

Step-by-step explanation:

SSS,SAS,ASA, or AAS?

Answers

Answer:

SSS

Step-by-step explanation:

An Someone plz help me plz :(

Answers

Answer:

18

Step-by-step explanation:

original 3:4

now 18:24

Multiply by 6

help what is 2x=3+17

Answers

Answer:

x=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

3+17=20

20/2=10

x=10

1.dilate by 3/5 : (20,10)
2.translate (x+5,y-6): (7.8)
3.reflx across th x-axis: (4,7)
4.rotate 270 degrees: (7,9)

Answers

Answer:

a) )12,6)

b) (12,2)

c) (4,-7)

d) (9,-7)

Step-by-step explanation:

a) Dilation

When we dilate, we multiply the given scale factor by each of the coordinates

We have this as follows;

(20 * 3/5, 10 * 3/5) = (12, 6)

2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value

We have this as;

(7+ 5, 8-6) = (12,2)

3. By reflecting across the x-axis

we have (x,y) changing to (x,-y)

so we have ;

(4,7) becomes (4,-7)

4. Rotation by 270 degrees (7,9)

If clockwise;

(x,y) becomes (y,-x)

so we have

(7,9) becoming (9,-7)

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