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dexar [7]
2 years ago
5

The variables x and y vary directly. if one pair of the values is x = 3 and y = 12, write an equation that shows the relationshi

p between x and y.

Mathematics
2 answers:
8090 [49]2 years ago
7 0
The variables x and y vary directly. if one pair of the values is x = 3 and y = 12, write an equation that shows the relationship between x and y.

Leno4ka [110]2 years ago
6 0
If they vary directly then they increase at the same amount
This can be written out with the equation
y/x=k k being the constant of the variation
In this case 12/3=4 the constant is 4
So you can say y=4x
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Height
dem82 [27]

Answer:

<h3>1 secs</h3>

Step-by-step explanation:

Given the height of the discus can be modeled by the equation y=−16x ^2 +32x+4, where y represents the  height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.

Velocity v = dy/dx = 0

dy/dx = -32x + 32

0 = -32x + 32

32x = 32

x = 1 secs

Hence it will take the discus 1 secs to reach its maximum height

8 0
3 years ago
15w2+62w+63=0 <br><br><br> Can you help me
anzhelika [568]

Answer:

w=-7/3 and w=-9/5

Step-by-step explanation:

Given: 15w^2+62w+63=0

Factor: (3w+7)(5w+9)=0

Zero Product Property: 3w+7=0 and 5w+9=0

Solve each equation: w=-7/3 and w=-9/5

Let me know if you would like me to explain more.

7 0
2 years ago
5/8 = ? (Please do this one:)
SpyIntel [72]

Answer:

0.625

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The lines graphed below show the amounts of water in two tanks as they
maria [59]

Answer:

Tank B

Step-by-step explanation:

Proportional relationships are relationships between two variables with equivalent ratios. For a proportional relationship, one variable is always a constant value times the other. A line is a proportional relationship if it starts from the origin, but if it does not start from the origin, it is not proportional.

From the two tanks, we can see that tank A have a y intercept whereas tank B starts from the origin. Therefore tank B shows a proportional relationship.

6 0
2 years ago
Geometry
Kobotan [32]

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

<u>Given information</u>

TU = 4x

UV = 2x + 14

TV = 7x - 5

<u>Given expression deducted from the additive property of length</u>

TV = TU + UV

<u>Substitute values into the expression</u>

7x - 5 = 4x + 2x + 14

<u>Combine like terms</u>

7x - 5 = 6x + 14

<u />

<u>Subtract 6x on both sides</u>

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

<u>Add 5 on both sides</u>

x - 5 + 5 = 14 + 5

x = 19

<u>Find UV by substituting the value of x</u>

UV = 2x + 14 = 2 (19) + 14 = \boxed{52}

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
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