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3 years ago

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

8 0

Answer:

y = 6x direct variation

Step-by-step explanation:

Remember that direct variation is y = kx and inverse variation is y = k/x where k is a constant

x= 1 2 5 10

y= 6 12 30 60

First look at direct y = kx solving for k y/x =k

y/x from the table is 6/1 =6 12/2 = 6 30/5 =6 60/10 =6 so k=6

This is a direct variation with k=6

y = 6x

GarryVolchara [31]3 years ago

6 0

c. y=6x direct variation

Answer:

the table represent a <u>direct variation</u>

Step-by-step explanation:

as when x=1

y=2

and

x=10

y=60

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I’ve been stuck on question 1 for a while, can you guys help?

MakcuM [25]

Answer:

$h=20$ **

**The picture is not accurate for this problem.

Step-by-step explanation:

I would use Pythagorean Theorem to setup two equations since there are two triangles with no angle information.

Let $BC=x+(99-x)$ where $x$ is equal to the first partition of $BC$ (reading from left to right) and $(99-x)$ is equal to the second partition of $BC$ (reading from left to right).

We have the following system to solve:

$20^2=h^2+x^2$

$101^2=h^2+(99-x)^2$

I will use elimination to first solve for $x$ .

Subtract the equations:

$20^2-101^2=x^2-(99-x)^2$

Factor both sides using $a^2-b^2=(a-b)(a+b)$ :

$(20-101)(20+101)=(x-(99-x))(x+(99-x))$

Simplify inside the $($ $)$ .

$(-81)(121)=(2x-99)(99)$

Divide both sides by 9:

$(-9)(121)=(2x-99)(11)$

Divide both sides by 11:

$(-9)(11)=(2x-99)(1)$

Simplify both sides:

$-99=2x-99$

Add 99 on both sides:

$0=2x$

Divide both sides by 2:

$x=0$

Now go to either equation we had in the beginning to find $h$ .

$20^2=h^2+x^2$ with $x=0$

$20^2=h^2$

$20=h$

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Which step is part of a proof showing the opposite sides of a parallelogram ABCD are congruent?

lawyer [7]

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Dennis_Churaev [7]

Answer:

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Find the slope-intercept form of the lines with the following properties.

Vikentia [17]

Hello!

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