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umka21 [38]
2 years ago
14

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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How to find the vertices of the hyperbole
torisob [31]

The answer is the second one

If you want a fast explanation

You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal

If you check the vertices points those indicates the length of 2a thus thatll be 6

To get the center just use middle point equation and you'll get (1,3)

Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis

A=3

B=?

C=6

We use Pythagoras so

b =  \sqrt{(6) ^{2}  - (3) ^{2}  }

Thus you get

b =  \sqrt{27}

With that data now you can get the equation

You know that below (y-3)^2 there should be a^2 so that means there will be the 9

And in the (x-1)^2 there should be b^2 so that means there will be the 27

PD. The 3 besides y, and 1 besides x represent the center

5 0
3 years ago
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Do the ratios 4/16 and 1/2 form a proportion?
REY [17]

Answer:

no

Step-by-step explanation:

6 0
2 years ago
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A photo of a beetle in a science book is increased to 535​% as large as the actual size. If the beetle is 14 ​millimeters, what
AnnZ [28]

Answer: 74.9 millimeters

Step-by-step explanation:

From the question, a photo of a beetle in a science book was.increased to 535​% as large as its actual size and the beetle.has a actual size of 14 ​millimeters,

The size of the beetle on the photo will be 535% of 14 millimeters. This will be:

= 535% of 14

= 535/100 × 14

= 5.35 × 14

= 74.9 millimeters

4 0
3 years ago
Find the interest earned in an account with $600 invested at 4.5% annual simple interest for 2 years.
astra-53 [7]

Answer:

40%

Step-by-step explanation:

every year the interested be 20%

that's why in 2 years be 40%interest

3 0
3 years ago
a bean plant was 1.5 m high one week ago. In 7 days it grew 15 cm . find the current height of the bean plant
natali 33 [55]

the answer is 16.5cm

just add 15 +1.5 and you get 16.5

8 0
3 years ago
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