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3 years ago

Write an equation for the line that is parallel to the given line and passes through the given point Y= 3x + 2; (1, 3)

Mathematics

1 answer:

IgorC [24]3 years ago

6 0

m = 3 is the slope of the given line; also its the slope of anything parallel to the given line

(x1,y1) = (1,3) is the given point the parallel line goes through

y - y1 = m(x-x1) .... point slope form

y - 3 = 3(x - 1) .... plug in the given values; solve for y

y - 3 = 3x - 3

y - 3+3 = 3x - 3 + 3

y = 3x + 0

y = 3x

Final Answer: y = 3x

side note: if you plugged in x = 1 it leads to y = 3 which confirms that (x,y) = (1,3) is on this parallel line.

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In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.

slamgirl [31]

Answer:

Angle A = 39°

Step-by-step explanation:

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

$b^2 = a^2 + c^2- 2a*c*cos(120)$

$b^2 = 81 + 25 - 2*9*5*(-0.5)$

$b=\sqrt{151}$

Now finding angle A using law of cosine:

$cos(A) = \frac{b^2+c^2-a^2}{2b*c}$

$cos(A) = \frac{151+25-81}{2*12.29*5}$

$cos A=0.7730$

$A=39.38$

Therefore, the measure of angle A = 39°.

7 0

3 years ago

Read 2 more answers

Mario’s company makes unusually shaped imitation gemstones. One gemstone has 14 faces and 10 vertices. How many edges does the g

Ivan

The gemstone has 22 edges.

We use Euler's formula on this:

F + V - E = 2

Substituting our information, we have:

14 + 10 - E = 2

Combining like terms,
24 - E = 2

Subtract 24 from both sides:
24 - E - 24 = 2 - 24
-E = -22

Divide both sides by -1:
-E/-1 = -22/-1
E = 22

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3 years ago

What is 5 with eponenet of 2

kondaur [170]

Answer:

2^5 =32

25=2x2x2x2x2

=32

Step-by-step explanation:

this is your answer plz let me knowif you got it right in plz rate me the most brainlest

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3 years ago

Sausages come in packets of 5 Bread rolls come in packets of 4 Colin wants to buy enough

tino4ka555 [31]

Answer:

The minimum packs of sausages that he needs is 1 and he needs 2 packs of rolls

Step-by-step explanation:

1 pack of sausages contains 5 sausages and 1 pack of rolls contains 4 rolls. Collin needs the same number of sausages and rolls. He needs 2 packs of bread rolls because 4 x 2 is 8 which means there is enough

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2 years ago

Simplify: 3(8) ° • (3)-2 -27 9 -216

Valentin [98]

Answer:

72x−497

Step-by-step explanation:

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3 years ago