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KiRa [710]
3 years ago
14

Find a set of parametric equations for the rectangular equation that satisfies the given condition. (Enter your answers as a com

ma-separated list.) y = 2x − 2, t = 0 at the point (3, 4)
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

x = 3 - t and y = 4 - 2t

Step-by-step explanation:

We have to find such a set of parametric equations for the given equation which result in an x-value equal to 3 and a y-value equal to 4 when t is substituted as 0.

There can be more than 1 possible answers to this problem. You have to use hit and trial method to come up with the correct set of parametric equations. One of the possible set is:

y = 4 - 2t , x = 3 - t

For t = 0

x= 3 and y = 4

Hence, the condition is satisfied.

Now checking if these parametric equations result in given equation or not.

From second equation, we get:

t = 3 - x

Using this value in first equation, we get:

y = 4 - 2(3 - x)

y = 4 - 6 + 2x

y = 2x - 2

Which is the given equation.

Hence the set of parametric equation is:

x = 3 - t and y = 4 - 2t

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If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

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plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

As we can see, what we have is a translation

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Step-by-step explanation:


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Natasha2012 [34]

Answer: 18 gallons.

Step-by-step explanation:

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<em> </em>Then, based on the information given in the problem, you can write the following expression:

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Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

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hope this helps, God bless!
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