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Gemiola [76]
3 years ago
11

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −2x+3y=12?

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

I like to compare them all the same. Put all the equations in slope intercept form y=mx+b

So you need to isolate y.


Step-by-step explanation:

Main equation to compare y=2/3x + 4

If they have the same slope they are parallel. If they have opposite reciprocal slopes then they are perpendicular.


First one is y=2x +12 neither

Second one is y= -3/2x -1 perpendicular

Third one is y= 2/3x - 1 parallel

Forth one is y= 2/3x + 11/3 parallel


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2 years ago
Need help- Find the measure of the angle.<br><br> THANK YOU
snow_tiger [21]

Answer:

47

Step-by-step explanation:

Remember triangle always equal to 180

180=70+4x-5+6x-15

x=13

4(13)-5

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Angle A is 47

6 0
3 years ago
The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
ycow [4]

The length of the longer base is 41 ft.

<u><em>Explanation</em></u>

Lets assume, length of one base is x ft.

As, another base is 19 less than five times the length of this base, so the length of another base = (5x- 19) ft.

The trapezoid has a height of 18 ft and area of 477 ft²

Formula for Area of trapezoid, A=\frac{1}{2} (a+b)*h , where a, b = Two bases of trapezoid and h = height of the trapezoid.

Given in the question: A= 477 and h= 18

We have also two bases as: a= x and b= 5x-19

So, according to the above formula...

A= \frac{1}{2}(a+b)h\\\\ 477=\frac{1}{2}(x+5x-19)*18\\\\ 477=9(6x-19)\\\\477= 54x-171\\\\477+171=54x\\\\648=54x\\\\x=\frac{648}{54} = 12

So, length of one base is 12 ft  and another base =(5*12-19)ft =(60-19)ft = 41 ft

That means, the length of the longer base is 41 ft.



8 0
3 years ago
What are the domain and range of f(x) = 2|x - 4|?
exis [7]

Answer:

D : All real numbers

R : (-∞,∞)

Step-by-step explanation:

When your x is in a set of absolute value sign, any number can work for x.

As with Domain, you can do the same with range. In this case, you can go from both positive infinity and negative infinity and you will always get a real number solution.

6 0
3 years ago
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6 0
3 years ago
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