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Rom4ik [11]
3 years ago
5

Is y=3x+4 parallel or perpendicular

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer: y=3x+4 is parallel to y=3x+7

Step-by-step explanation:

<h3> The complete exercise is: "Is y=3x+4 parallel, perpendicular or neither to y=3x+7?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

1. The slopes of parallel lines are equal.

2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:

 y=3x+4

You can identify that "m" and "b" are:

m=3\\b=4

And the other line provided in the exercise is this one:

y=3x+7

So, you can identify that:

m=3\\b=7

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

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Answer:y=9.5x-0.5

Step-by-step explanation:

Ok, so you need to use the equation y2-y1/x2-x1 to find the slope. So (18.5-4.25)/(2-0.5) so 14.25/1.5 , calculate that and you get 9.5 which is your slope, apply that to the slope formula which is y=mx+b where (m) is slope and (b) is y intercept and you get y=9.5x-0.5

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3 years ago
Identify the dependent variable in this situation:
NNADVOKAT [17]
Amount of data you use is the dependent variable because it depends on how much you will pay
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2 years ago
Ella grew 3 over 4 of an inch last year. Ben grew 2 over 3 of an inch last year. How much more did Ella grow than Ben last year?
IrinaK [193]

Answer:

Ella grew \frac{1}{12} of an inch more

Step-by-step explanation:

For this problem, you want to subtract Ben's growth from Ella's.

This expression would be \frac{3}{4}-\frac{2}{3}.

To work these out, they must have the same denominator (which should be the lowest common multiple or LCM).

In this case, the LCM is 12, so you want to multiply each side so the denominator is 12. This means the first fraction should be multiplied by \frac{3}{3} and the second by \frac{4}{4}.

This makes the expression \frac{9}{12}-\frac{8}{12}, which equals \frac{1}{12}.

**This content involves adding and subtracting fractions, which you may want to revise. I'm always happy to help!

7 0
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Audrey owns 25 books, but only 18 books fit on the shelf. How many books did not make it on the shelf?
jeyben [28]
The answer is seven books

3 0
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Read 2 more answers
Solve –16t² +144= 0 to find the number of seconds, t, it takes for an object dropped from 144 ft above the ground to hit the gro
Vlad1618 [11]

Answer:

h(t) = -16t2 + 144

h(1) = -16(12) + 144 = 128 ft

h(2) = -16(22) + 144 = 80 ft

h(2) - h(1) = 80 - 128 = -48 ft

It fell 48 ft between t = 1 and t = 2 seconds.

It reaches the ground when h(t) = 0

0 = -16t2 + 144

t = √(144/16) s = 3s

It reaches the ground 3s after being dropped.

Step-by-step explanation:

6 0
2 years ago
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