Lines m and n are drawn in the coordinate plane. The equation of line m is y=-3x+8 and line n goes through point (-4,-11). When a transversal of the two lines is constructed the alternate interior angles formed by the transversal are congruent. What is the equation of line n?

Answers

Answer 1

Answer:

The equation of line n is;

y = -3x - 23

Step-by-step explanation:

Here, we want to find the equation of line n

For the alternate interior angles to be congruent after drawing the transversal, then both lines must be parallel

If the two lines are parallel, then their slopes are equal

To get the slope of line m, we compare the equation of line m to the standard form

The equation of line m is y = -3x + 8

if we compare this with the standard form which is y = mx + c

Then the slope of line m is -3 and since they are parallel lines, the slope of line n is -3 too

So now, we need to get the equation of line n

It passes through (-4,-11)

What we have already is;

y = -3x + c

we need to get the y-intercept to write the complete equation

To get the y-intercept we simply substitute for (-4,-11)

Thus, we have

-11 = -3(-4) + c

-11 = 12 + c

c = -11-12 = -23

The equation of line n is;

y = -3x - 23


Related Questions

HELP PLZZZZZZZZZZ ITS DUE NOW

Answers

Answer:

yes its a right trinagle

Step-by-step explanation:

well first it has a right corner which is a right angle you can tell by putting your hand like a L

What is the interval?

Answers

I think it’s [-1, 4]

There are 260 students in 6th grade at meghan's school if 15% of them play a instrument how many 6th graders at meghan's school play an instrument ?

Answers

Answer:

39 people

Step-by-step explanation:

15 percent *260 =

(15:100)*260 =

(15*260):100 =

3900:100 = 39

Plz Award Brainlest

Answer: 17 or 33 student of 6th grade

Step-by-step explanation: that how you do the math

Write the number 68,127,000,000,000,000 in scientific notation.

Answers

The answer to this question is 6.8 x 10^16.

Answer:

[tex]6.8127[/tex] × [tex]10^{16}[/tex]  

I hope this helps!

Simplify the radical √75 and explain how you got the answer :) please!

Answers

Answer:

8.6

Step-by-step explanation:

3 divided by 2/5

A. 7
B. 7 1/5
C. 7 1/2
D. 8

Answers

The answeris (71/5)..

Answer:

C

Step-by-step explanation:

3 divided by 2/5 will become 3 times 5/2

multiply the numerator so 15

and the denominator is 2

15/2 is 7.5

so 7 and 1/2

so your answer is C

Find the slope and the y-intercept of the line.
y = 8x - 1

Answers

Answer:

y = - 1

you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1

What are the answers

Answers

Answer:

81 for the first blank and 12 for the second.

Step-by-step explanation:

The rule is divie or multiply by 9. (depending on what side its asking)


What is the slope of the line that passes through the points (-2, 7) and (2, -5)?
Write your answer in simplest form

Answers

Answer:-3

Step-by-step explanation:

Janice is redecorating her room. She wants to paint a design on a rectangular section of her wall that is at least 76.5 square feet. The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall? PLEASE HELP!!

Answers

Answer:

9 feet

Hope this helps

Answer:

9 feet

Step-by-step explanation:

I = 9 feet ~ C

What is the solution to this system of equations?
x+y= 6
x=y+4

Answers

Answer:

5,1

Step-by-step explanation:

mark brain if right

Answer: (5,1)
x=5
y=1

Solving Steps:

What is the
proprtion?​

Answers

In mathematics, two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant; that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant.

find the explicit formula for the following sequence.
15, 29, 49, 75, 107,....

Answers

Answer:

Step-by-step explanation:

We are given the sequence

[tex]15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0[/tex]

Since we had to find the differences twice, it is a second degree polynomial

[tex]y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\[/tex]

so,

[tex]y = 3n^2 + 5n + 7[/tex]

Solve for x.
4 + 2x = 10

Answers

Answer:

The answer is 3

Hope this helps!

I’m offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question.

Answers

A, C and D because the angles are named in order. Q=T R=U and so on

David sells small, medium, and large bags of mints at his store. A medium bag contains three times as many mints as a small bag. A large bag contains five times as many mints as a medium bag • There are 3,510 mints in a large bag. How many mints are in a small bag?​

Answers

Answer:

This is lowkey hard

Step-by-step explanation:

Answer:

234 mints

Step-by-step explanation:

if you represent small as s, medium as m, and large as l, you can write the equations as 3s=m  5m=l and 3510=l. We can then substitute 3510 for l and get 5m=3510 divide by 5 and get m=702 put that in the other equation and get 3s=702 divide by 3 and get s=234

Complete the work to solve for y:

What is the value for y?

Answers

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Now completing the remaining work

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Dividing both sides by 2/5

[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]

[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]            ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]              ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                   ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex]                 ∵  [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]            

[tex]y=\frac{11}{2}[/tex]                    ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

Therefore, the value of y = 11/2

If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1/8 Rap: 1/4 Answers: A. 1/4s = 420 B. S = 1/4 * 420 C. S + 1/4 = 420 D. 420 + s = 1/4

Answers

Answer:

B. [tex]s=\dfrac{1}{4}\times420[/tex]

Step-by-step explanation:

Total number of students surveyed = 420

Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]

The number of students that prefer rap is 105

So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].

Two parallel lines are crossed by a traversal. What is the value of b?
b=32
b=52
b=118
b=128

Answers

Answer:

b = 128 answers it is alternate angle

Answer:

C). b=118

Step-by-step explanation:

took the test on edge

plzzzzz hurry i'm running out of time
The tree in Shen's backyard is 8.2 m high. How high is it in centimeters?
Be sure to include the correct unit in your answer.

Answers

Answer:

820 cm

Step-by-step explanation:

Since one meter is 100 cm, 8.2*100 is 820

Answer: 820

Step-by-step explanation:

1 meter is 100 centimeters

1 meter is 100 centimeters, 8.2 meters are 820 centimeters.

NG
1. An exterior angle of a triangle has a measure of 68º. Which of the following could not be the measure of
one of its remote interior angles?

Answers

Answer:

(4) 71°

Step-by-step explanation:

The sum of remote interior angles is equal to the sum of exterior angle.

The angle that could not be the measure of  one of its remote interior angles is 71 degrees

First, we must understand that any interior angle of a triangle cannot be greater than its exterior angle.

The correct value in the given option will be any angle that is greater than 68 degrees.

From the given options, we can see that the only angle that is greater than 68 degrees is 71 degrees.

Hence the angle that could not be the measure of  one of its remote interior angles is 71 degrees

Learn more here: https://brainly.com/question/24231058

2.) Find the vertex only for the following function:
y = -3x^2 + 12x - 5

Answers

Answer:

(2, 7)

Step-by-step explanation:

hope this helps :)

( 1 ) Find by using a formula of (-b/2a, (4ac-b²)/4a)

[tex](\frac{-b}{2a},\frac{4ac-b^2}{4a})\\(\frac{-12}{2(-3)}),(\frac{4(-3)(-5)-(12)^2}{4(-3)})\\(\frac{-12}{-6}),(\frac{60-144}{-12})\\(2,\frac{-84}{-12})\\(2,7)[/tex]

The vertex is at (2,7)

( 2 ) Find by using a derivative (Calculus)

You can also find a vertex by using a calculus. Using a derivative

[tex]y'=-3x^2+12x-5\\y'=-6x+12\\\\[/tex]

Then substitute y' = 0 to get a vertex.

[tex]y'=-6x+12\\0=-6x+12\\-12=-6x\\2=x[/tex]

Then substitute x = 2 in the equation of y = -3x²+12x-5

[tex]y=-3x^2+12x-5\\y=-3(2)^2+12(2)-5\\y=-3(4)+24-5\\y=-12+24-5\\y=-17+24\\y=7[/tex]

x = 2 and y = 7, therefore. The vertex is (2,7)

quadrilateral ABCD is a parallelogram A(-3,-2) B(-1,2) C(1,1) D(-1,-3)

Answers

Okay

Step-by-step explanation:

PLS HELP FAST WITH THIS QUESTION ​

Answers

I think 13 because 5 diveded by 65 is13 so if u times that by 1 it’s 13

Joe had a balance of $34 on his credit card. He bought a sandwich and charged $40 on his credit card. 1a.) Write an equation that represents this scenario.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Credit card balance = $34

Amount of sandwich purchased = $40

The cost of sandwich purchased us added to the Initial credit card balance as the balance in a credit card is amount owed.

Hence it could be interpreted as though Joe has made purchases which amounts to $34 with his card before purchasing sandwich that costs $40

Hence; new card balance :

(Intial card balance + cost of sandwich)

$34 + $40 = $74

can someone help me answer this question please?

Answers

Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

Selena made pancakes for an all day breakfast fundraising event she made 132 pancakes in 4 hours Selena needs to make 264 more pancakes if she continues at the same rate how many hours will it take for Selena to make 264 more pancakes

Answers

Answer:

8 hours

Step-by-step explanation:

132 pancakes → 4 hours

264 pancakes → (4/132 x 264) hours = 8 hours

I’ll give the Brainliest to who answers this question with a reasonable explanation.

Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.

A) Buying 8 oz for $3.47 is the better buy.

B) Buying 6.2 oz for $2.97 is the better buy.

Thank you!

Answers

B- because you only get 1.8 ounces more than the 6.2 for 50c which if you divid 2.97 and 6.2 its less than 50c.
Not sure if its right-


Find the slope and the y-intercept of the line.
6x+2y=-2

Answers

Answer:

Slope: -3

Y Intercept: (0,-1)

Step-by-step explanation:

Answer:

slope -3

y = 0,-1

Step-by-step explanation:

find the quotient 10^12/10^3
plz answer asap

Answers

Answer:

B

10^9

Step-by-step explanation:

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