All categories

3 years ago

Two equations for the constant of proportionality equal to 1/2

Mathematics

1 answer:

NemiM [27]3 years ago

5 0

y=kx and y= $\frac{k}{x}$ are two equations of constant of proportionality

Step-by-step explanation:

There are two equations for the constant of proportionality. That is

(i) Direct proportion

(ii) Inverse proportion

In direct proportion y=kx, Now

if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.

In Inverse proportion y= $\frac{k}{x}$ , Now

if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.

In direct proportion, we put y=1 and x=2, So k= $\frac{1}{2}$ .

So, the equations y=kx and y= $\frac{k}{x}$ are two equations of constant of proportionality.

You might be interested in

Another geometry question♥♥

storchak [24]

Set the 2x - 1 equal to 9 then work backwards. 2x - 1 = 9 Nine minus one is eight divided by two is four. X = 4

4 0

3 years ago

den301095 [7]

B

Subtract 2x from the left side and the right side. Then you get -y = -2x+6. The divide each side by negative 1. Thus getting you to an answer of y = 2x-6

3 0

3 years ago

Read 2 more answers

Vera examined a random sample of deodorants distributed by her company. She found the following probabilities:

kkurt [141]

P(for men | botanic) = 5/18

6 0

3 years ago

Read 2 more answers

Mike had 280 dollars to spend on 8 books.After buying them he had 16 dollars. How much did each book cost?

adell [148]

Well, you can't really determine the price of 1 book, but you can find out the average cost.

280 - 16 = 8x (x = cost of 1 book)
264 = 8x
264/8 = 8x/8
33 = x

So the average cost of one book is 33$( A little expensive if I do say so myself)
Hope this helped!

6 0

3 years ago

Read 2 more answers

Given the graph, find an equation for the parabola.

Sauron [17]

Answer:

$\Large \boxed{\sf \bf \ \ y=\dfrac{1}{16}(a-3)^2-2 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

When the parabola equation is like

$y=a(x-h)^2+k$

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))

As the vertex is (3,-2) we can say that h = 3 and k = -2.

We need to find a.

The focus is (3,2) so we can say.

$2=-2+\dfrac{1}{4a}\\\\\text{*** We add 2. ***}\\\\\dfrac{1}{4a}=2+2=4\\\\\text{*** We multiply by 4a. ***}\\\\16a=1\\\\\text{*** We divide by 16. ***}\\\\a=\dfrac{1}{16}$

So an equation for the parabola is.

$\large \boxed{\sf y=\dfrac{1}{16}(a-3)^2-2 }$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago