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2 years ago

10

I have a rectangle house. it is ten feet wide and 20 feet long

1 answer:

coldgirl [10]2 years ago

3 0

Answer:

200 in all

Step-by-step explanation:

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Write and solve a proportion to answer the question.

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162 WATER BOTTLES IN 9 CASES =

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3 years ago

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Frequency (y) varies inversely with wavelength (x). Find the frequency (measured in THz ) of blue light if its k value is 175,72

horsena [70]

We have been that frequency (y) varies inversely with wavelength (x).

We know that two inversely proportional quantities are in form $a=\frac{k}{b}$ , where a is inversely proportional to b and k is constant of variation.

Our required equation would be $y=\frac{k}{x}$ .

To find frequency of blue light, we will substitute $k=175,720$ and $x=230$ in our equation as:

$y=\frac{175,720}{230}$

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Therefore, the frequency of blue light is 764.

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3 years ago

Which relationships have the same constant of proportionality between y and x as in the equation y=1/2x Choose 3 answers:

Andrew [12]

Answer:

A and B has the same constant of proportionality

Step-by-step explanation:

$y \propto x$

$y = kx ----1$

Where k is the constant of proportionality

We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation $y=\frac{1}{2}x$

On comparing with 1

$k = \frac{1}{2}$

A)6y = 3x

$y = \frac{3}{6}x\\y = \frac{1}{2}x$

So, this equation has the same constant of proportionality

B) $(x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)$

To find the equation :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, $y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x$

So, this equation has the same constant of proportionality

C)

$(x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)$

To find the equation :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, $y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x$

So, this equation do not has the same constant of proportionality

D)

$(x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)$

To find the equation :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, $y - 1=\frac{2.5-1}{3-2}(x-2)$

$y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2$

So, this equation do not has the same constant of proportionality

Hence A and B has the same constant of proportionality

3 0

3 years ago

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