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
Levart [38]
3 years ago
13

The value of y varies directly as the square of x and y=27 when x=9. Find the equation represents this relationship. Report the

proportionality constant as a reduced fraction when necessary.
Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

The relation between x and y is

y=\frac13 x^2

Step-by-step explanation:

Given that,

The value of y varies directly as the square of x.

y\propto x^2

\Rightarrow y=rx^2

where r is constant of proportional.

Given that,

y= 27 and x=9

Plug y= 27 and x=9 in above relation

y=rx^2

\therefore 27=r(9)^2

\Rightarrow 27 = r.81

\Rightarrow r=\frac{27}{81}

\Rightarrow r=\frac{1}{3}

The relation between x and y is

y=\frac13 x^2

You might be interested in
Rewrite y=(0.9)^t−4 in the form y=a(1+r)^t or y=a(1−r)^t to determine whether it represents exponential growth or exponential de
son4ous [18]

Answer:

its

Step-by-step explanation:

13+(4^3)

6 0
3 years ago
Find m<1 in the rhombus below
Margarita [4]

Answer:

m \angle \: 1 = 120 \degree

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

m \angle \: 1 = 120 \degree

6 0
3 years ago
Find the equation of a line parallel to the given line in passing through the given point
svetoff [14.1K]

Answer:

Step-by-step explanation:

y = mx + b

The line y = 3 is a horizontal line with slope zero

y = 0x + 3

All parallel lines will also have a slope zero

a parallel line passing through (-2, 7) will have the equation

y = 0x + 7

y = 7

7 0
3 years ago
Please Help! it's simple!
ss7ja [257]

Answer:

28.27

circumference of finding a circle divided by two.

(2\pi \:r {}^{2} ) \div 2

(2×3.14×9)/2

56.55/2

28.27

8 0
3 years ago
There are 14!coats and some hats there are 6 more coats than hats. How many hats are there
Allisa [31]

Answer:

There are 8 hats

Step-by-step explanation:

14-6=8

3 0
3 years ago
Read 2 more answers
Other questions:
  • Braylon has a board 18 feet long. He wants to cut it into pieces that are 3 feet long. How many pieces will he have after he mak
    8·1 answer
  • Which of the following predictions is most likely true
    5·2 answers
  • -2(2u-3)+3u=3(u+8)<br> u=?
    15·1 answer
  • What is 30% written as a fraction in simplest form? (Lol I asked the wrong question earlier this is what I meant )
    10·2 answers
  • Ninety percent of the seats of a flight are filled. There are 240 seats. How many seats are filled?
    15·1 answer
  • Please can someone help me?
    8·1 answer
  • Solve each of the following equations. Show its set on a number line.
    15·1 answer
  • The figure below is dilated with the center of dilation at the origin and a scale factor of
    5·1 answer
  • Need some help with multiplying algebraic fractions
    7·1 answer
  • Given the following graph what is the slope?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!