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2 years ago

Does y varies directly with x? Find the constant of variation and write the equation.

Mathematics

1 answer:

amid [387]2 years ago

7 0

Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

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Determine if the two figures are congruent and explain your answer using transformations.

Maslowich

The coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent

The given figures are quadrilaterals, in order to determine whether they are similar, we need to check if they are reflections of each other.

For the Quadrilateral ABCD, the coordinate of A is at A(-1, 1) and for the Quadrilateral DEFG, the coordinate of E is at E(1, 1).

Note that if an object is reflected over the y-axis the transformation is (x, y)->(-x, y)

We need to check whether if we reflect the coordinate A over the y-axis we will get coordinate E

Since the coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent

Learn more on reflections here:brainly.com/question/1908648

7 0

3 years ago

Tell whether 72.72 is terminating or repeating.

mamaluj [8]

Answer:

terminating

Step-by-step explanation:

it would be repeating if it said 72.72727272...

3 0

3 years ago

Read 2 more answers

Afirm’s marketing manager believes that total sales X can be modeled using a normal distribution with mean m ¼ $2.5 million and

Ugo [173]

Answer: 0.0475

Step-by-step explanation:

Given : A firm’s marketing manager believes that total sales X can be modeled using a normal distribution.

Where , Population mean : $\mu=2.5\text{ million}=2.5\times1000000=2500000$

Standard deviation : $\sigma=300000$

To find : Probability that the firm’s sales will exceed $3 million i.e. $ 3,000,000.

∵ $z=\dfrac{x-\mu}{\sigma}$

Then , for x= 3,000,000

$z=\dfrac{3000000-2500000}{300000}=1.67$

Then , the probability that the firm’s sales will exceed $3 million is given by :-

$P(z>1.67)=1-P(z$

Hence, the probability that the firm’s sales will exceed $3 million = 0.0475

4 0

3 years ago

A girl can sweep the garage in 20 minutes, while her brother needs 30 minutes to do the same job. How many minutes will it take

Scrat [10]

I'm not sure your question has enough information to be answered properly, but I'll try to help:

Assuming each of them are sweeping 1/2 of the garge, we're gonna cut each of their times in half.

Now the girl needs 10 minutes for half the garage and her brother needs 15 minutes.

So, if they work together, the first ten minutes will overlap each other while the girls brother gets left behind to finish up for an extra five minutes.

So, when working together, the boy and the girl need 15 minutes to sweep the garage.

6 0

4 years ago

Which expression is equivalent to 1.8(2x + 7) - 15?

slamgirl [31]

Answer:

Option B. 1.8(2x + 7) – 15 = 3.6x – 2.4

Step-by-step explanation:

1.8(2x + 7) – 15

To know which option is correct, let us simplify the above expression. This can be obtained as follow:

1.8(2x + 7) – 15

Clear bracket

1.8(2x + 7) – 15 = 3.6x + 12.6 – 15

1.8(2x + 7) – 15 = 3.6x – 2.4

Thus,

1.8(2x + 7) – 15 is equivalent to

3.6x – 2.4

5 0

3 years ago

Does y varies directly with x? Find the constant of variation and write the equation.​

Does y varies directly with x? Find the constant of variation and write the equation.