Write the equation of a line through the points (2,3) and (-1,-9)

Answers

Answer 1
Answer:

Answer:

with the points (2,3) and (-1,-9) the answer is y=4x+10

Step-by-step explanation:

you have to do (x1,y1) (x2,y2) thats for each point

the equation to get the slope is y2-y1 divided by x2,x1

to get the y-intercept to plug in one of the points to the slope-intercept equation

y=4x+5

I picked the points (2,3) but you should get the same answer with the other points

3=4(2)=5

3=8+5

3=13

-3+-3

=10 thats your y intercept.


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Which pairs of angles are alternate exterior angles? Choose all answers that are correct.

Answers

A and D are the correct answers. They are on opposite sides of the transversal and are on the outside of the parallel lines.
it would be A and H , B and G
this is because they are completely opposite each other as you can see in the diagram.

Faye and Andrew have written down the same negative number.Faye squares the number then multiplies by 2 and adds 4.
Andrew multiples the number by 21 then subtracts the result from 40.
They both finish with the same answer. What was the number?

Answers

x - the number

Faye squares the number: x²
then multiplies by 2: 2x²
and adds 4: 2x²+4

Andrew multiplies the number by 21: 21x
then subtracts the result from 40: 40-21x

They both finish with the same answer, so the results are equal.
2x^2+4=40-21x \n2x^2+21x+4-40=0 \n2x^2+21x-36=0 \n2x^2+24x-3x-36=0 \n2x(x+12)-3(x+12)=0 \n2x-3=0 \ \lor \ x+12=0 \n2x=3 \ \lor \ x=-12 \nx=(3)/(2) \ \lor \ x=-12

The number is negative so x=-12.

The number is -12.

The sign of a positive number divided by a negative number is always: A) Positive B) Negative C) Zero D) Undefined

Answers

Answer:

B) negative

Step-by-step explanation:

The sign of a positive number divided by a negative number is always negative.

E.g:

5 ÷ (-4) = -1.25

_______

hope this helps!

Here are the possible outcomes when a pair of fair dice is rolled.1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12


In a roll of a pair of fair dice, what is the probability of the outcome being either a multiple of 3 or an even number? Are these events mutually exclusive?
, mutually exclusive
, not mutually exclusive
, mutually exclusive
, not mutually exclusive

Answers

I don't understand the big table of numbers at the top at all,
and don't see how it relates to the question.


There are 36 possible outcomes for the roll of a pair of dice.
According to your specifications, the successes are:

-- Multiples of 3:
       1 ... 2    (3)
       2 ... 1      
       3 ... 3    (6)
       1 ... 5
       5 ... 1
       2 ... 4
       4 ... 2
       3 ... 6    (9)
       6 ... 3
       4 ... 5
       5 ... 4
       6 ... 6    (12)
(12 different outcomes)

-- Even numbers:
       1 ... 1   (2) 
       1 ... 3    (4)
       3 ... 1
       2 ... 2
       3 ... 3    (6)
       1 ... 5
       5 ... 1
       2 ... 4
       4 ... 2  
       2 ... 6    (8)
       6 ... 2
       3 ... 5
       5 ... 3
       4 ... 4
       4 ... 6    (10)
       6 ... 4
       5 ... 5
       6 ... 6    (12)   
(18 different outcomes)

The events are NOT mutually exclusive.
A roll of 6 (5 ways)  or 12 (1 way)  meets both requirements.

Successful outcomes:
  Multiples of 3 . . . . 12
  Even numbers . . . 18
       Duplicates . . . . 6
              
So there are 24 different successful outcomes.

Probability  = (24) / (36)  =  2/3  =  (66 and 2/3) %

Which group of numbers is listed from least to greatest?-6, -7, -8, 0, 2
9, 7, 5, -4, -9
-8, -6, -1, 5, 8
-4, 5, -6, 7, -8

Answers

Group 3 Is.  Notice what would be bigger as a positive is smaller as a negative.  You can find this on a number line if you need more resources.  Hope this helps!
This Is Quite Simple. The Greater The Negative, The Smaller The Number. 
So, -6, -7, -8, 0, 2 Is Incorrect. 9,7,5,-4,-9, Is Greatest To Least, So Incorrect. -8, -6, -1, 5, 8 Is Correct, -4, -5, -6, 7, -8 Is Obviously Incorrect, So C. :D

Please help me with these three questions...
I will be really thankful for help​

Answers

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation: