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Lyrx [107]
3 years ago
13

What is the direct variation equation if y varies directly with x and y= -12 When x= 6?

Mathematics
2 answers:
Doss [256]3 years ago
7 0
The answer would be A y = -2x
Setler [38]3 years ago
3 0
If y varies directly with x, then the ratio y/x will always be the same. Set it equal to the known values and solve for y.

y/x = -12/6

Cross multiply

6y = -12x

y = -2x


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A tissue can be 0.000075 meters thick.
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Answer:

The required expression is 7.5\times 10^5

Step-by-step explanation:

Consider the provided information.

A tissue can be 0.000075 meters thick and we need to represent it into scientific notation.

Steps to write a number in scientific notation.

  • Move the decimal place to the right so that the new number from 1 up to 10.
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Move the decimal point to 5 place right so that the new number from 1 up to 10.

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4 years ago
The length of a rectangle is 5 units more than the width. The area of the rectangle is 36 units. What is the width, in units, of
PIT_PIT [208]

Answer:

4

Step-by-step explanation:

Let y be the width of the rectangle

The length of the rectangle is 5 unit more than the width. This is written as:

Length = y + 5

Area = 36

Recall:

Area of rectangle = length x width

36 = (y + 5) x y

36 = y^2 + 5y

Rearrange the expression

y^2 + 5y — 36 = 0

To solve this problem by factorization, multiply the first term (i.e y^2) and last term ( i.e — 36) together. This gives — 36y^2

Next, find two factors of —36y^2 such that when we add them together it will result to the second term (5y). These factors are —4y and 9y. Now we substitute —4y and 9y in place of 5y in the equation. This is illustrated below:

y^2 + 5y — 36 = 0

y^2 —4y + 9y — 36 = 0

We factorize as follows:

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(y + 9) (y — 4) =0

y + 9 = 0 or y — 4 = 0

y = —9 or y = 4

Since the measurement can not be negative, therefore y (i.e the width) is 4

4 0
3 years ago
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