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4 years ago

3x+2y=6 and y=-3/2x+5

1 answer:

6 0

In order to solve for parallel, perpendicular, or neither, you have to look at the slope.

If the slope is the same for both equations, it is most likely parallel.
If it's the reciprocal (Where you flip the number and add change the signs. For example, the reciprocal of 1/2 is -2)
If the slope is not the same or the reciprocal, then it is neither.

So for the first equation, your slope is:
3x+2y=6
2y=-3x+6
y=-3/2x+3 The equation y=mx+b can help you here, where m is the slope.
Your slope is -3/2

For the second equation, your slope is -3/2 since y=-3/2x+5 is already in y=mx+b form and m is the slope.

Since both slopes are -3/2, then you have parallel equations!

(Be careful though, sometimes it will have the same slope but there will also be the same y-intercept. If that happens, it's no longer parallel, but it's the same equation. Such as y=-3/2x+1 and y=-3/2x+1. In this case there will be infinite solutions, but parallel equations have no solutions.)

I hope this helps!! Please ask if you have more questions!

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3 years ago

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mylen [45]

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Reason:

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3 years ago

The director of the town's sports programs is studying trends in enrollment over time. She finds that the number of participants

ziro4ka [17]

Answer:

The function is : $y=120(1.10)^x+120+10x$

Step-by-step explanation:

Suppose, after $x$ years, the number of participants in the town's soccer program is $y_{1}$ and in the town's street hockey program is $y_{2}$

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So, the function that can be used to predict the total number of children participating in the town's soccer and street hockey programs in x years will be: $y=120(1.10)^x+120+10x$

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3 years ago

The length of a rectangular garden is 15 feet longer than its width. if the area of the garden is 154 square feet, what are the

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The length would be 22 ft.
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