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vlada-n [284]
2 years ago
11

Write the equation of the line that is parallel to

Mathematics
2 answers:
baherus [9]2 years ago
8 0

Answer:

y = - x + 2

Step-by-step explanation:

  • We can use the below formula to find the equation of a line.

y = m x + c

Here,

m ⇒ slope

c ⇒ y - intercept

  • We know that , if two lines are parallel to each other, it means that the slopes of two lines are also equal.
  • Therefore, according to the question we have to find the y - intercept in order to write the equation of the line.
  • For that, you can use the given coordinate of the new line.
  • <em>Also, as the two lines are parallel, the slope of the new line is (-1 ).</em>

Let us solve now.

( -6 , 8 ) ⇒ ( x , y )

y = m x + c

8 = -1 × -6 + c

8 = 6 + c

8 - 6 = c

2 = c

  • And now let us write the equation of the line.

y = m x + c

y = - x + 2

Hope this helps you :-)

Let me know if you have any other questions :-)

Kruka [31]2 years ago
4 0

Answer:

y = -x + 2

Step-by-step explanation:

Lines that are parallel have the same slope but different

y-intercepts.

So the slope of the parallel line is -x

We can input the x and y points given to solve for the new y-intercept

  • y = -x + b
  • 8 = -(-6) + b
  • 8 = 6 + b
  • b = 2

The new line is y = -x + 2. Since these two lines are the same, they are coinciding lines.

-Chetan K

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Are the two terms on each tile like terms? Sort the tiles into the appropriate categories.
o-na [289]

Answer:

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

-7y^2 and y^2 are like terms because they have same variable y with same power 2.

-4p and p^2 are not like terms because they have same variable y with different powers.

0.5kt and -10kt are like terms because they have same variables kt with same power 1.

6 and 9 are like terms because both are constant.

5x and 5 are not like terms because one have variable and other is constant.

3ad and 2bd are not like terms because they have different variables.

Like terms: -7y^2 and y^2, 0.5kt and -10kt, 6 and 9

Not like terms: -4p and p^2, 5x and 5, 3ad and 2bd

7 0
3 years ago
work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci
NISA [10]

Answer:

Step-by-step explanation:

Here is the complete question.

Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference?  ​(d) What is the probability that John stays​ home?

Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.

Let D = Dominique, M = Marco, R = Roberto and J = John

a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below

S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)

Total sample space = 4!/2!2!

Total sample space = 4*3*2!/2!2

Total sample space = 12/2 = 6

The sample space are S = {DM, DR, DJ, MR, MJ, RJ}

b) Probability is the ratio of number of event to the sample space.

P = n(E)/n(S)

Given n(S) = 6

n(E) is the event of Dominique and Marco attending the conference.

E = {DM}

n(E) = 1

P(D and M) = 1/6

Hence  the probability that Dominique and Marco attend the conference is 1/6

c) For John to attend the conference, the event outcome will be given as;

E = {DJ, MJ, RJ}

n(E) = 3

n(S) = 6

Probability for John to attend the conference is 3/6 = 1/2

d) Probability that John stays at home = 1 - Prob (John attends the conference)

Probability that John stays at home = 1 - 1/2

Probability that John stays at home = 1/2

7 0
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What r the equations???
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Answer: £76.50

Step-by-step explanation:

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7 0
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Paha777 [63]

Answer:

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Step-by-step explanation:

to find the perimeter of a triangle, add all sides.

P=a+b+c

P=(5x^2+x)+(8x^2-3x)+(18x^2-11x)

combine like terms

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x-3x-11x= -13x

31x^2-13x

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