In direct variation, the constant of variation has the same
value as which of the following.
A. The y-intercept of its line
B. The X - intercept of its line
C. The slope of the line
D. The absolute value of the slope
of the line

Answers

Answer 1

Answer:

c. the slope of the line

Step-by-step explanation:

because i just know

Answer 2

The direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where m is slope of line

c is the y - intercept

Given is the direct variation of a quantity.

The direct variation of a quantity in the equation of a straight line is represented by the slope of a straight line. Mathematically, we can write -

y = mx + c

for y - intercept = [c] = 0, we can write -

y = mx

m = y/x

which is the representation of direct variation.

Therefore, the direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.

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Related Questions

help pls I'm not smart enough for this..​

Answers

Answer:

y = 1/2x, 2:1y = 5x, 1:5y= 1.5x, 16:24y = 3x, 1:3

Step-by-step explanation:

Number replaces with each corresponding value.

The number on the left is the x, and the number on the right of the colon is y.

Simply replace x and if you get the y, it is a match.

y = 1/2(2) = 1

y = 5(1) = 5

y = 1.5(16) = 16

y = 3(1) = 3

If the area of the base is 24 cm2, how would you
calculate the volume?
A V = 24h
B V = n(24)?h
CV = (24)
DV = (24)h

Answers

Answer:

AV and DV both are correct

can someone help me find the values of y and z?

Answers

Answer:

y= 134.5 and z= 44.5 :)

Step-by-step explanation:

6z-87=180

6z=267

267/6=44.5

180-44.5=134.5

Answer:

y=99, z=81

Step-by-step explanation:

the angle above y is corresponding to 81, so if you substitute 81 in that place then it'll be angles on a straight line;

81 + y =180

(add like terms)

y =180 - 81

=99.

thus, y is 99. Once you do that, y and z are on a straight line so you solve for x using the formula for angles on a straight line;

y + (6z - 87)

(substitute y with 99)

99 + 6z - 87 =180

6z + 12 =180

(add like terms)

6z =180-12

6z =168

(divide both sides by six)

6z /6= 168/6

z = 28

(then you solve everything that was in the bracket for z)

(6z - 87)

(substitute z with 28)

=6 × 28 - 87

=168 - 87

=81

therefore, y =99 and z =81

A rectangle has a width of x + 2 and a length of 2x - 1, with an area of 42 inches squared. Find the perimeter of the rectangle

Answers

Answer:

26 inches

Step-by-step explanation:

Area of rectangle

= length ×width

= (2x -1)(x +2)

= 2x(x) +2(2x) -1(x) -2 (expand)

= 2x² +4x -x -2

= 2x² +3x -2

Given that the area is 42 inches squared,

2x² +3x -2= 42

2x² +3x -2 -42= 0 (-42 on both sides)

2x² +3x -44= 0 (simplify)

(x -4)(2x +11)= 0 (factorise)

x -4= 0 or 2x +11= 0

x= 4 or 2x= -11

x= -11/2 (*reject)

Length of rectangle

= 2(4) -1

= 8 -1

= 7 inches

Width of rectangle

= 4 +2

= 6 inches

Perimeter of rectangle

= 2(width +length)

= 2(7 +6)

= 2(13)

= 26 inches

*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.

Help i dont understand this

Answers

Answer:

b

Step-by-step explanation:

What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?

Answers

Answer:

4.8/6 = $0.80

Answer:

0.80

JKJKJKJKJKJ

Someone help me please

Answers

Answer:

good luck

Step-by-step explanation:

What is true about the measure of angle B?

It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.

Answers

Answer:

A

Step-by-step explanation:

sometimes we can determine a missing angle because we know that the sum must be a certain value... remember...the sum of the degree measure of angles in any triangle equals 180 degrees.below is a pict.of triangle ABC. where angle .A =60 degrees, angle.B=50 degrees and angle.C =70 degrees

Answer:

It is twice the measure of Angle A.

2) Use the elimination method to solve for x and y.

equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9

solve for y _____
solve for x _____

Answers

Answer:

1: 2x + y = 24

2: x - 3y = 54

Step-by-step explanation:

Answer:

[tex] y = - 3. \\ x = - 13.5[/tex]

Step-by-step explanation:

[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\

equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5

[/tex]

Pls answer :(

I’ll appreciate!

Answers

Answer:

The answer would be 2.1 so it must be D

Step-by-step explanation: divide them

What is the value of the x-coordinate that is 9 units to the left of (4, -7)?

Answers

Answer:

-5

Step-by-step explanation:

Which feature of the Earth is shown below and is created by farge amounts of in our core?

Answers

Answer:

C) Earth's Magnetic Field.

Step-by-step explanation:

Those lines are representing the magnetic pulls/fields that go around the Earth. Another clue that is given is the N and S, which represent North and South, which pertains to the north pole and south pole. These poles have a lot of magnetic fields around them.

Answer:

b MAntle convection currents

a go-karts top speed is 607,200 feet per hour what is the speed in miles per hour

Answers

Answer:

115

Step-by-step explanation:

5280 feet/mile

607200/5280=115

:>

Answer: 115 mph

Convert ft to miles

write the following ratio in their simplest form 25:75​

Answers

Answer:

1/3 :)

Step-by-step explanation:

What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.

(0.9273 +17,0), where n is any integer

(0.9653 +12,0), where n is any integer

(0.9273 +2n7,0), where n is any integer

(0.9653 +217,0), where n is any integer

Answers

Answer:

C on edge

Step-by-step explanation:

The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

the function is,

y=6tan (x/2)-3

we know that,

the x-intercepts of the graph of the function, we put y = 0

so, we get,

6tan (x/2)-3 = 0

or, tan (x/2) = 3/6

or, tan (x/2) = 1/2

or, x/2 = 0.4636

The period of tangent is π, so we have,

x/2 = 0.4636 + nπ

or, x =  (0.9273 +2nπ)

Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

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Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer:

y - 2 = 1/8(x+8)

Step-by-step explanation:

The slope of lines that are perpendicular are each other's opposite reciprocal.

so, the reciprocal of -8 = -1/8, then find the opposite of -1/8 which is 1/8.

Point-slope form : y - y1 = m(x - x1)

(x1,y1) = (-8,2)

so, y - 2 = 1/8(x+8) is our final answer!

HELP !!! A survey was conducted in a super store to study the monthly turnover in the number of clients
This survey revealed that:
• During the first month 5000 clients made their purchases from the store
• Each month 30% of the clients of the preceding month stopped to make their purchases from their
store and 1800 new clients joined the remaining clients of this store.
Denote Un the number of clients that make their purchases during the nth month
Let Un+1 = 0.7Un + 1800
1) Find U1 , U2 and U3
2) Show that the sequence Un is neither arithmetic nor geometric
3) Let the sequence (Vn) be denoted by Vn= 6000 – Un. Prove that Vn is a geometric sequence, whose
common ratio and 1st term are to be determined.
4) Calculate S = V1 + V2 + ….. + V6
5) Calculate Vn in terms of n
6) Deduce Un in terms of n

Answers

Answer:

this is a lot

Step-by-step explanation:

Answer:

Ja kmsazt zaednaie

Step-by-step explanation:

a-b-c=9, solve for a

Answers

Answer:

d

Step-by-step explanation:

Answer: a = 9 +b + c

Steps: a - b - c = 9

Subtract -b and -c from both sides:  a - b - c - (-b -c) = 9 - (-b -c)

Simplify: a = 9 +b + c

Plz mark brainliest:)

What is the answer?​

Answers

Answer:

A is parallel to B

Step-by-step explanation:

This means that the two lines will never touch

A is parrle to B (can’t spell but you know

What is the value of x

Answers

Answer:

A,   38

Step-by-step explanation:

the 180 - 114 = 66, so the vertical angle is 66, x = 38, 38 x 2 = 76 + 38 + 66 = 180

solve for x in the literal equation −14 = xy + z.

Answers

X=-14/y-z/y
Pls mark brainliest if correct

N/8=3/4 what is the n?

Answers

Step-by-step explanation:

n/8=3/4

n=3×8/4

n=24/4

n=6

brainliest if right!!!

Answers

Answer:

The answer is Letter A.

Step-by-step explanation:

Find the value of x.

[tex]2x + 50 = x + 76 \\ 2x - x = 76 - 50 \\ x = 26[/tex]

Substitute x to the equation for angle 2.

[tex]2x + 50 \\ = 2(26) + 50 \\ = 52 + 50 \\ = 102[/tex]

#CarryOnLearning

Answer:

A) 102

Step-by-step explanation:

Alternative Exterior Theorem: If two parallel lines are cut by a transversal, then the pairs of alternative exterior angles are congruent.

Because of this theorem, we know that <2 and <8 are congruent, so we can set these equations to be equal to each other, like so:

2x + 50 = x + 76

Then, we need to find the x value, so solve from there.

2x + 50 = x + 76

x + 50 = 76   [Subtract x from both sides of the equal sign]

x = 26   [Subtract 50 from both sides of the equal sign]

So now that we have our x value, all we have to do is plug in that value to the <2 equation.

2x + 50

2(26) + 50

52 + 50

102

Hope this helps! I apologize if I get it incorrect,

Please help!!!
In 1/4 hour , A baker decorates 7/8 of a cake.

Answers

my geuss is c or d -i hope this helps

Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.

Answers

Answer:

what's the question

Step-by-step explanation:

I guessing the question is how many months so I would say six because you divide 200. By 25 and get eight and since 50 is worth two months then you take away two from eight and you get 6

Identify ZABF by clicking and dragging the small yellow dots to shade the
angle.

Answers

Clearly it is 90 degrees angle

List the domain and range of each function (1,-4),(2,-3),(3,-2),(4,-1)

Answers

Answer:

Domain are all x values

Range are all y values

Domain:(1,2,3,4)

Range:(-4,-3,-2,-1)

Domain (1,2,3,4)
Range(-1,-2,-3,-4)

Help plskekekekeesmmsmxmxmxx

Answers

Answer:

1.8 mile i think but do the math cz it should be.


Select all the lines that have a slope of 5/2.
Click Image to Draw:
A. A
ΤΑ
B
I
В. В
C.C
D. D
E. E
Explain Your Reasoning:

Answers

Answer:

A rate of 5/2 means that:

If we move 2 units to the right, we move 5 units up.

Let's see all the graphs, the easier way to know this is:

In any point of the line, move to the right 2 units.

Then from that point, move up until you meet again with the line, if you moved 5 units, then the slope is 5/2.

A) The slope is 5/2.

B) The slope is 4/2

C) the slope is 5/2

I can not see very well graphs E and D in the image.

E) may have a slope of 5/2, you should measure it.

D has not a slope of 5/2,  you can compare it with A and see that is totally different, so you can discard option D.

Lines A and C are having a slope of (5/2) and line E may have the slope of (5/2).

Step-by-step explanation:

Given information:

Line A,B,C,D and E having different slopes;

Now as we know that equation of the line is:

[tex]y=mx+c[/tex]

where, m is the slope of the line

Now, Also [tex]dy/dx=m[/tex]

Hence, the slope of the line can also be calculated according to that.

Now, as given in the graph:

Line A is having [tex]dy=10\; \text {and} \; dx =4[/tex]

Hence slope of line A

[tex]dy/dx(A)=5/2[/tex]

Similarly:

Line B is having slope of (4/2)

Line C is having slope of (5/2)

Line D is not having slope of (5/2)

And Line E may have the slope of (5/2).

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PLEASE HELP WORTH 25 POINTS, find a and b.

Answers

Answer:

a = 12     b = 30

Step-by-step explanation:

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