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
kozerog [31]
3 years ago
9

The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?​

Mathematics
1 answer:
Kipish [7]3 years ago
7 0

Answer:

The equation for the relationship is y = \frac{7}{2}\cdot x.

Step-by-step explanation:

Given that point (x,y) = (6, 21) is part of a direct relationship. That is:

y \propto x

y = k\cdot x (1)

Where k is the proportionality constant.

If we know that x = 6 and y = 21, then the proportionality constant is:

k = \frac{y}{x}

k = \frac{21}{6}

k = \frac{7}{2}

Lastly, the equation for the relationship is y = \frac{7}{2}\cdot x.

You might be interested in
A pile of sand in the shape of a cone has a diameter of 8 in. and a height of 5 in.
max2010maxim [7]

if it has a diameter of 8, that means its radius is half that, or 4.


\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=4\\
h=5
\end{cases}\implies V=\cfrac{\pi (4)^2(5)}{3}\implies V=\cfrac{80\pi }{3}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{using~\pi =3.14}{V= 83.7\overline{3}}~\hfill

8 0
3 years ago
4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
Phoenix [80]

Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

7 0
3 years ago
Dwayne is having a birthday party with a total of 37 people (including himself). He needs to buy enough cases of soda to have 2
svet-max [94.6K]

Answer:

I do not know

Step-by-step explanation:

5 0
3 years ago
Addition of signed numbers ​
adelina 88 [10]
The absolute value of 7 would be 7
5 0
3 years ago
Help and I will make you a brainllest
ahrayia [7]

Answer:

yes

Step-by-step explanation:

Hope this helps:)

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which rules define the function graphed below? Y (0,3) (3, 2) Hem -3 -7 -1 2 a 6 I N P T 4 1 y = 2x+3; y = -x + 3 y=2x, y=-=​
    9·1 answer
  • Which expression is equivalent<br> 07x+y<br> 0 7x-y
    13·1 answer
  • Maribel surveyed 55 people to find out their favorite types of music. The results are shown in the bar graph. Based on the infor
    11·1 answer
  • In one year Megan spent 359.94 on her gym membership at the same monthly rate of 59.99. Write an equation to represent this situ
    5·1 answer
  • 5 points
    10·2 answers
  • Please helppp with these questions
    8·1 answer
  • Which is the correct label of the parallel lines?
    8·2 answers
  • Helpp worth 20 points!!<br>write the equation of the line below<br><br>​
    10·2 answers
  • Determine if true:<br> 24+24-8x2=80
    13·1 answer
  • Topic: Recognizing Linear and Exponential and Quadratic Functions.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!