What is the constant of variation for y= 2/5x​

Answers

Answer 1

Answer:

Step-by-step explanation:

This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.


Related Questions

Please help me!! Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23).

Answers

Answer:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Step-by-step explanation:

We want to find the equation of a line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]

And contains the point (-3, 23).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.

We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Substitute:

[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]

Simplify:

[tex]\displaystyle y - 23 = -6 (x+3)[/tex]

Distribute:

[tex]\displaystyle y - 23 = -6x - 18[/tex]

And add. Hence:

[tex]\displaystyle y = -6x + 5[/tex]

In conclusion, our equation is:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

what is the answer of this question plzzzzzzzzzzz say fast​

Answers

Answer:

[tex]1=3=70^{0} \\2=4=5=110^{0}[/tex]

Step-by-step explanation:

Given angle is 110°

Now,

[tex]4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ][/tex]

From the figure,

[tex]4=110^{0}\,\,;[alternate\,\,angle][/tex]

[tex]So,\,\,2=5=110^{0}[/tex]

And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°

1 = 3 = 180° - 110° = 70°

Hope you have understood this.....      

ask me if you have any confusion.....      

if you liked it pls mark it as the brainliest

Answer:

  angle 1  =70 degrees

  angle 2  =110 degrees

  angle 3  =70 degrees

  angle 4 = 110 degrees

  angle 5  =110 degrees

Step-by-step explanation:

1) 110+ angle 1=180(allied angles)

          angle 1=180-110

          angle 1=70 degrees

2)angle 2+ angle 1=180(angles on a straight line)

  angle 2+ 70        =180

       angle 2          =180-70

       angle 2          =110 degrees

3)angle 3+ angle 2=180(angles on a straight line)

    angle 3+ 110       =180

       angle 3           =180-110

       angle 3           =70 degrees

angle 3 can be taken as vertically opposite angles(70 degrees)

4)angle 4 = 110 degrees (vertically opposite angles)

5)angle 5+ angle 3=180(allied angles)

  angle 5+ 70        =180

            angle 5     =180-70

           angle 5     =110 degrees

Hope you got this .......

If you have any questions regard to this you can ask me.......

There are many ways to do these sums but the answer should be correct......

If you think this is the best answer please mark me as brainliest....

What is the equation of the line that passes through the point (-4,-2) and has a
slope of -1/2?

Answers

Answer:

[tex]y = - \frac{1}{2} x[/tex]

Divide. Write your answer as a fraction in simplest form. − 7 1/0÷2/5=

Answers

Answer:

[tex] - \frac{71}{4} [/tex]

Step-by-step explanation:

[tex] - 7 \frac{1}{10} \div \frac{2}{5} [/tex]

[tex] = - \frac{71}{10} \times \frac{5}{2} [/tex]

[tex] = - \frac{71}{2} \times \frac{1}{2} [/tex]

[tex] = - \frac{71}{4} [/tex]

(1.2E-3) x (4.6E-1) =

Answers

Answer:

0.0012*​x*​0.46

Step-by-step explanation:

if you buy a 5 bananas for 3 dollars how much is one

Answers

.60 cents each banana

1.6667

that's the answer cause I said so

SOLVE PLEASE! (Help)

Answers

Answer:

1. [tex]\sqrt{218}[/tex]

2. [tex]\sqrt{89}[/tex]

3. [tex]2\sqrt{17}[/tex]

Step-by-step explanation:

The formula to find the distance between any two points on a coordinate plane is as follows:

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the two points one is trying to find the distance between. Substitute the points in and solve for the distance between them for each respective problem.

1.

Points: [tex](-4, 6),\ \ (3, -7)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

[tex]D=\sqrt{(-4-3)^2+(6+7)^2}[/tex]

[tex]D=\sqrt{(-7)^2+(13)^2}[/tex]

[tex]D=\sqrt{49+169}[/tex]

[tex]D=\sqrt{218}[/tex]

2.

Points: [tex](-6, -5)\ \ (2,0)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

[tex]D=\sqrt{(-6-2)^2+(-5-0)^2}[/tex]

[tex]D=\sqrt{(-8)^2+(-5)^2}[/tex]

[tex]D=\sqrt{64+25}[/tex]

[tex]D=\sqrt{89}[/tex]

3.

Points: [tex](-1, 4)\ \ (1,-4)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

[tex]D=\sqrt{(-1-1)^2+(4+4)^2}[/tex]

[tex]D=\sqrt{(-2)^2+(8)^2}[/tex]

[tex]D=\sqrt{4+64}[/tex]

[tex]D=\sqrt{68}[/tex]

[tex]D=2\sqrt{17}[/tex]

Sin A 4/5.

Find
COSA + tan A

Answers

Answer:

Step-by-step explanation:

The opposite side (the one not connected to A) = 4

The hypotenuse is 5

The adjacent side needs to be found for the cosine and the tangent.

a^2 + b^2 = c^2

a = opposite side = 4

b = adjacent side = ?

c = hypotenuse = 5

4^2 + x^2 = 5^2

16 + x^2 = 25          

x^2 = 25 - 16

x^2 = 9

x = sqrt(9)

x = 3

cos(A) = adjacent / hypotenuse = 3/5

Tan(A) = opposite / adjacent = 4/3

cos(A) + tan(A) = 3/5 + 4/3

cos(A) + tan(A) = 9/15 + 20/15 = 29/15

Given: SinA = 4/5

To find: CosA + TanA

Solution:
16/25 + Cos²A = 1 [Sin²A + Cos²A = 1]
Cos²A = 1 - 16/25
Cos²A = 25 - 16/25
Cos²A = 9/25
CosA = 3/5
We know that TanA = SinA/CosA
TanA = (4/5)/(3/5)
TanA = 4/3
CosA + TanA = 3/5 + 4/3 = 29/15

Which of the following correctly models 8 square

Answers

Answer:

A

Step-by-step explanation:

please help me with this math is for my math homework​

Answers

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{137}{24} [/tex]

or

[tex] \frac{137}{24} or \: 5 \frac{17}{24} [/tex]

hope that helps you

How many of the 320 million Americans would you predict wear contacts lenses?​

Answers

Answer:

40,640,000

Step-by-step explanation:

The way I solved this equation was by dividing 320,000,000 by 1,000 (to make smaller numbers). Then, I got 320,000. From here, I was able to multiply 320,000 by 127 (the number found in this specific study group) to get 40,640,000. Or, you could just multiply 320,000,000 by 0.127 (the decimal equivalent to 127/1000) to get the same answer. Please mark Brainliest if this helped :)

Answer:

40,640,000

Step-by-step explanation:

The sample size is 1000 and 127 wear contacts so

127/1000 = x/320000000

(127 * 320000000)/1000 = x

40,640,000 = x

Please help I know it’s a lot ...?

Answers

Answer:

1. 3g - 24 = 5

2. 5y + 3 = -38

3. 2x + 4 = 45

4. 1/2n - 10 = 30

5. 5n - 6 = 5

6. 6n - 7 = 10

Step-by-step explanation:

not sure if you wanted what the variables equal if you do leave a comment

Please help with steps, will give brainliest. Simplify

Answers

Answer:

=53*(54 ×^9 y^12 z^15)^1/2

=53*y^6 *z^(15/2) * x^( 9/2)* (54)^1/2

Answer:

[tex] {3x}^{4} {y}^{6} {z}^{7} \sqrt{6xz} [/tex]

Step-by-step explanation:

[tex] \sqrt{54 {x}^{9} {y}^{12} {z}^{15} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8 + 1} {y}^{12} {z}^{14 + 1} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8 } \times {x}^{1} {y}^{12} {z}^{14} \times {z}^{1} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8} \times {xy}^{12} {z}^{14} \times z } [/tex]

➡️ [tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{8} } \sqrt {y}^{12} \sqrt{ {z}^{14} \sqrt{6xz} } [/tex]

➡️ [tex] {3x}^{4} {y}^{6} {z}^{7} \sqrt{6xz} [/tex] ✅

2(k + 1) = -4(k - 2)​

Answers

Answer:

1

Step-by-step explanation:

2(k + 1) = -4(k - 2)

2k + 2 = --4k+8

2k+4k=8-2

6k=6

k=6/6

k=1

The lines shown below are perpendicular. Find the slope-intercept form of the equation of line y2.

Answers

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.  The equation for line y1 is 3x - 4  The slope is the coefficient of x, which is 3.  That means the slope of line y2 is -1/3, because it's the negative reciprocal.  As for the y-intercept, just look for the point on the y-axis that the line intercepts.  If we look closely, we can see it intercepts point (0,4) on the y-axis.  Therefore, the slope-intercept form equation for line y2 is:  y = -1/3x + 4.

Answer:

y=5-x/3

Step-by-step explanation:

What is the volume of the following rectangula
prism?
4
units
3
23
units
4

Answers

SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW

Find the distance of the line, then find the slope of the line using the following coordinates (-7,2) and (-4,6)?

Answers

Answer:

Distance = 5 units

Slope = [tex]\displaystyle\frac{4}{3}[/tex]

Step-by-step explanation:

Hi there!

1) Finding the distance of the line

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two endpoints of a line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (-7,2) and (-4,6):

[tex]d=\sqrt{(-4-(-7))^2+(6-2)^2}\\d=\sqrt{(-4+7)^2+(6-2)^2}\\d=\sqrt{(3)^2+(4)^2}\\d=\sqrt{9+16}\\d=\sqrt{25}\\d=5[/tex]

Therefore, the length of the line/distance of the line is 5 units.

2) Finding the slope of the line

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (-7,2) and (-4,6):

[tex]m=\displaystyle\frac{6-2}{-4-(-7)}\\\\m=\displaystyle\frac{6-2}{-4+7}\\\\m=\displaystyle\frac{4}{3}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{4}{3}[/tex].

I hope this helps!

what is the square of 18​

Answers

Answer:

Square of 18 is 324

Step-by-step explanation:

[tex]18^2=18*18\\=180+80+64\\=324[/tex]

hope you have understood this...

pls mark my answer as the brainliest

Find the 9th term of the geometric sequence 5, -25, 125, ..

Answers

Answer:

5^9

Step-by-step explanation:

bn= b1*r^(n-1)

b9=b1*r^8

r=-25/5=-5

b9= 5*5^8=5^9

if two points lie in a plane, then_______

Answers

Answer:

the line containing them lies in the plane.

Step-by-step explanation:

If two planes intersect, then their intersection is a line.

If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

I hope this answer can help you ♥️

Alan has $115.78 in his savings account. He earns $15.00 cleaning out
the garage and puts $7.50 into savings. He withdrawals $35.90 to buy
a video game. He receives $20 from his grandfather and deposits $15
of it into his savings account. What is Alan's balance now?

Answers

Answer:

$137.33

Step-by-step explanation:

$115.78 + $15.00 = $130.78

$130.78 + $7.50 = $138.28

$138.28 - $35.90 = $102.33

$102.33 + $20.00 = $122.33

$122.33 + $15.00 = $137.33

Chow,...!


How do I solve this pls help?

Answers

Answer:

a)

f(0) = 4, from the graph

b)

h(11) = 15, from the table

c)

g(-9) = -2(-9)² - 4(-9) + 1 = -125, as per equation

d)

f(2) = 1, from the graph

e)

h(-2) = 2, from the table

f)

g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125, as per equation

f(0) = 4

h(11) = 15

 

g(-9) = -2(-9)² - 4(-9) + 1 = -125

f(2) = 1

h(-2) = 2  

g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125

Please Help!! I am really stuck on this assignment and i need it done

Answers

Answer:

Step-by-step explanation:

11-B

Uhhhh sorry about everything else I’ll come back when I figure it out

6-D

7-C? Maybe

Answer:

Step-by-step explanation:

The correct answer is b.

27h + 16  = 178                   Subtract 16

27h = 178 -16                      Combine

27h = 162                           Divide by 27

h = 162 / 27

h = 6

Question 6

No they are not the same. They have the same terminal point but they are going in different directions. The answer is D Direction matters.

Question 7

The vectors add if as in arithmetic if they are going in the same direction.

answer C

Common difference of the arithmetic sequence -6,-13,-20

Answers

Answer:

-7

Step-by-step explanation:

-13 - (-6)

=> -13 + 6

=> -7

So Common Difference = -7

9/8(4-1/2a)=3(1/4a+5/2)

Answers

Answer:A=2 2/7

Step-by-step explanation:

Correct me if I am wrong

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4[/tex]

Answer:

x = 4

Step-by-step explanation:

-5 ( x - 1 ) -x +1 = -18

solve the brackets first

-5x + 5 - x + 1 = -18

-5x -x +5 +1 = -18

-6x + 6 = -18

-6x  = -18 - 6

-6x = -24

x = -24 / -6

x = 4

Acme T-Shirt Company charges a $50 set-up fee plus $9 for each shirt printed. Beta T-shirt Company has no set up fee, but charges $14 per shirt. What is the minimum number of shirts for which a customer saves money by using Acme?​

Answers

Answer:

Step-by-step explanation:

Acme Company:

Let the number of shirts = x

Cost = 50 + 9x

Beta Company:

Cost = 14x

50 + 9x < 14x

Subtract 9x from both sides

50 < 14x - 9x

50 < 5x

Divide both sides by 5

50/5 < x

10 < x

Minimum number of shirts for which a customer saves money by using Acme  = 11 T-shirts

A segment has endpoints (14,-8) and (4, 12). What are the coordinates of
its midpoint?

Answers

Answer:

(9,2)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(14+4)/2 = 18/2 = 9

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(-8+12)/2 = 4/2 = 2

Answer:

(9, 2)

Step-by-step explanation:

how r u doing?? 1-10:D? (free pts btw)

Answers

Answer: i am good,how are you?

Step-by-step explanation:

Answer:1-10 = 9 :D

Step-by-step explanation:

someone help please :)

Answers

Answer:

its basically a Cross

the point they cross is p

and the 2 lines are AB and RS

I hope I'm correct.And yea

.hope it helps

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