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levacccp [35]
3 years ago
8

Find the equation of a line passing through the point A (14,23) and the slope 2.​

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0

Answer:

y=2x-5

Step-by-step explanation:

y=mx+c

mx=slope

In this case, the slope is already given to you which means the m=2.

y=2x+c.

The coordinates are (14, 23) and when you put -5 into c, the line goes through the coordinates (14, 23).

Hope this helps!

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360/18= 20

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Write an equation of the line perpendicular to the x-axis and passes through (4,-3)
Firdavs [7]

Step-by-step explanation:

The equation of the line is x = 4.

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<1 and <2 form a linear pair. If m<1= 4m<2, find the measure of each of the two angles.
ozzi

Answer:

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

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5x/5 = 180/5

x = 36°

Therefore,

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8 0
3 years ago
The area of trapezium is 1586cm² and the distance between sides is 26cm.If one of the parallel sides is 84cm,find the other​
irinina [24]

Check the picture below.

we know the area is 1586, so

\stackrel{\textit{area of a trapezoid}}{A=\cfrac{h(a+b)}{2}}\implies 1586=\cfrac{26(84+b)}{2}\implies 1586=13(84+b) \\\\\\ \cfrac{1586}{13}=84+b\implies 122=84+b\implies 38=b

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Nezavi [6.7K]
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x < 4 + 3

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The only option that satisfies the condition above is

option A) 5 ft.

I hope this helps. =)
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