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gayaneshka [121]
2 years ago
6

Suppose y varies directly with x. Write a direct variation equation that relates x and y when y = 6 and x = 12

Mathematics
2 answers:
Elenna [48]2 years ago
7 0

Answer: 2

Step-by-step explanation: If 12/6=2 so the answer to the problem is 2 because 6x2=12

SOVA2 [1]2 years ago
5 0

Answer:

y = 1/2x

Step-by-step explanation:

y = 6

x = 12

y = ax

6 = a(12)

a = 6/12

a = 1/2

y = 1/2x

Hope this helps!

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Literally noone answers my questions please help
prohojiy [21]

Answers:

  • slower train = 139 km per hour
  • faster train = 159 km per hour

=================================================

Explanation:

x = rate of the slower train

x+20 = rate of the faster train

rates are in km per hour, abbreviated as kph

The train traveling at x kph will travel 5x km after 5 hours.

Use this formula

distance = rate*time

Using that same formula, the faster train travels 5(x+20) = 5x+100 kilometers in 5 hours.

The two distances must add to 1490 if we want the trains to pass by each other. Assume that the trains are traveling on parallel side-by-side tracks.

--------------------------

So,

(slower train distance) + (faster train distance) = 1490

(5x) + (5x+100) = 1490

10x+100 = 1490

10x = 1490-100

10x = 1390

x = 1390/10

x = 139

The slower train moves at a rate of 139 km per hour.

x+20 = 139+20 = 159

The faster train moves at a speed of 159 km per hour.

--------------------------

Check:

The slower train travels 139 kph and travels for 5 hours, so it covers a distance of 139*5 = 695 km

The faster train has a speed of 159 kph and travels for 5 hours, so it covers 159*5 = 795 km

Total distance = 695+795 = 1490

The answers are confirmed.

7 0
2 years ago
The length of Bill’s backyard swimming pool is 60 feet longer than the width of the pool. The surface area of the water is 1600
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Can a linear function be continuous but not have a domain and range of all real numbers
vovangra [49]
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1,000f= 4,135.135135... <br> what is the answer in fraction form?
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sin(a+b)=sin(a)cos(b)+cos(a)(sin(b)
</span>
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</span><span>sin(4x)=sin(2x+2x)

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</span>And it will simplify to 

<span><span>2sin(2x)cos(2x)

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