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AleksandrR [38]
3 years ago
12

Find the variation constant and an equation of variation for the given situation.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

\displaystyle y=14\cdot x

Step-by-step explanation:

<u>Directly Proportion</u>

It's said that y varies directly proportional as x, if:

y=k\cdot x

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

\displaystyle 7=k\cdot \frac{1}{2}

Solving for k:

k=14

Thus, the equation is:

\boxed{\displaystyle y=14\cdot x}

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nekit [7.7K]

Answer:

12

Step-by-step explanation:

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3 years ago
Write the equation of the line that passes through the given points. Include your work in your final answer. Type your answer in
Harman [31]
The equation you use for the slope of this kind of problem is (y2-y1)/(x2-x1). x1 is the first X coordinate, x2 is the second, y1 is the first y coordinate, y2 is the second.

(5-3)/(2-2)
2/0
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3 0
3 years ago
Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0
2 years ago
Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7 A) (x - 36)2 = 9 B) (x - 6)
iren2701 [21]

x2 - 12x - 12 = 0

(x - 6)2 - 48 = 0

(x - 6)2 = 48

Hence, the answer is (B).

6 0
3 years ago
Read 2 more answers
6 more than twice a number is greater than negative sixteen
Alexxandr [17]

Writing the problem as an equation you have:

2x+6 > -16

Solve for x:


2x+6 > -16

Subtract 6 from each side:

2x > -22

Divide both sides by 2:

x > -11


The answer is: x > -11


3 0
3 years ago
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