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
Schach [20]
2 years ago
14

Y is directly proportional to square root of x If y=56 when x=49 find, y when x=81

Mathematics
1 answer:
STALIN [3.7K]2 years ago
7 0

\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{\begin{array}{llll} \textit{"y" directly}\\ \textit{proportional to }\sqrt{x} \end{array}}{y = k\sqrt{x}}\qquad \textit{we know that} \begin{cases} y = 56\\ x = 49 \end{cases}\implies 56=k\sqrt{49} \\\\\\ 56=7k\implies \cfrac{56}{7}=k\implies 8=k~\hfill \boxed{y=8\sqrt{x}} \\\\\\ \textit{when x = 81, what is "y"?}\hfill y=8\sqrt{81}\implies y=8(9)\implies y=72

You might be interested in
A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
Y_Kistochka [10]
The musician can arrange the musical selections 24 times. :)
8 0
3 years ago
Read 2 more answers
The temperature t is less than or equal to -3•
boyakko [2]
T≤3
remember that this symbol means less than or equal to

4 0
3 years ago
Five pounds of birdseed is used to fill 4 identical bird feeders. What fraction of birdseed will be needed to fill each feeder.
Bingel [31]
                                                                    The answer is 1 1/4
6 0
3 years ago
Read 2 more answers
A high school athletic department bought 40 soccer uniforms at a cost of$3,000. after soccer season, they returned some of the u
enot [183]
75, division is key for this problem
4 0
3 years ago
Which equation represents a circle with a radius of 8 centered at (-3,4)
SpyIntel [72]

Answer:

(x+3)^2 + (y-4)^2 = 64

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2  where ( h-k) is the center and r is the radius

(x--3)^2 + (y-4)^2 = 8^2

(x+3)^2 + (y-4)^2 = 64

5 0
3 years ago
Other questions:
  • Write the equation of a line that is perpendicular to the given line and that passes through the given point.
    5·1 answer
  • Pls help me find the answer​
    8·1 answer
  • Two and a half times the sum of nine and twelve
    7·1 answer
  • Q8 Q17.) Find the numbers.
    8·2 answers
  • What does x equal?????
    7·1 answer
  • What is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20%3D%207" id="TexFormula1" title="2 {x}^{2} - 5x = 7" alt=
    6·1 answer
  • A certain species of fish require 1.5 cubic feet of water per fish to maintain a healthy
    11·1 answer
  • Consider the following navigation scenario. A ship on the open ocean is traveling in the direction shown below. On a coordinate
    9·1 answer
  • QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!