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
Maurinko [17]
3 years ago
11

It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

k=\dfrac{5}{4}

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}

So, the constant of variation is \dfrac{5}{4}.

You might be interested in
Simplify each of the following logarithmic expressions to the simplest form
AleksAgata [21]
Simplest Form: log2 (x/9)
4 0
3 years ago
What is the perimeter of this quadrilateral?<br> (5,5)<br> (2, 4)<br> (4, 1)<br> (6, 1)
lbvjy [14]

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}

BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}

DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89

8 0
2 years ago
PLEASE HELP
Vlad [161]
Do you need the answer now ?
3 0
2 years ago
The width of a rectangle is 5 meters less than its length. The area is 84 square
VARVARA [1.3K]

Answer:

12 and 7 meters

Step-by-step explanation:

The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.

The length is 12 and the width is 7

7 0
2 years ago
The measure of the supplement angle is fourteen times greater than its supplement
disa [49]
Let's assume you have supplement angle
x
Now when you talk about multiplication you can simply say...
14x = y
And that will give you the answer.
6 0
2 years ago
Other questions:
  • The farm keeps 20 gallons of the milk produced each day to use on the farm and sells the rest of the milk to a distributor to be
    8·1 answer
  • Rewrite .07 repeating as a simplified fraction
    14·1 answer
  • Plz answer and write the question number and the answer next to it plzzzz
    14·2 answers
  • Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees
    6·1 answer
  • If 3 sisters receive $180 and split it so that the middle sister gets twice as much as the youngest sister and the oldest sister
    8·1 answer
  • (2+4i) + (9+10i) = (2+9) + (4i+10i)
    11·1 answer
  • Explain how you can use division to simplify a complex fraction.
    15·1 answer
  • A 40​-foot piece of siding is cut into three pieces so that the second piece is four times as long as the first piece and the th
    8·1 answer
  • A square's area is 3 times its perimeter. Find the dimensions of the square.
    11·1 answer
  • What is the measure of arc EF in circle H?<br> O 41°<br> 50°<br> O 114°<br> 173°
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!