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Elena-2011 [213]
3 years ago
5

PLEASE HELP! 35 POINTS

Mathematics
1 answer:
nignag [31]3 years ago
4 0
no solution, they are all the same line
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Find the slope of the lines joining each of the following pair of points.<br> (1,7) and (4,2)
Damm [24]

Answer:

-5/3

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 2-7)/(4-1)

  -5/3

8 0
3 years ago
Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.
max2010maxim [7]

Answer:

  (4, 6)

Step-by-step explanation:

<u>Substitution</u>

Using the second equation, we can substitute for y in the first equation.

  4x -(2x-2) = 10

  2x +2 = 10 . . . . simplify

  x +1 = 5 . . . . . . .divide by 2

  x = 4 . . . . . . . . . subtract 1

  y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

__

<u>Elimination</u>

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

  (4x -y) +(y) = (10) +(2x -2)

  4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

  2x = 8 . . . . . . . . . subtract 2x

  x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

  (x, y) = (4, 6)

__

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

  (4x -y) +2(y) = (10) +2(2x -2)

  y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

  6 = 2x -2 . . . substitute for y in the second equation

  3 = x - 1 . . . divide by 2

  x = 4 . . . . . add 1

  (x, y) = (4, 6)

3 0
3 years ago
What is [(a+b)³]² simplified?<br> A. (a +b) 3/2<br> B. (a+b)^5<br> C. (a+b)^1<br> D. (a+b)^6
Tresset [83]

Answer:

<u>D. (a+b)⁶</u> is the right answer.

Step-by-step explanation:

[(a+b)³]²=(a+b)³*²=(a+b)⁶

3 0
3 years ago
Solve the proportion x/8= 3/12. Please help.
galben [10]

Answer:

2

Step-by-step explanation:

\frac{x}{8}  =  \frac{3}{12}  \\  \\ x =  \frac{8 \times 3}{12}  \\  \\ x = \frac{24}{12}\\  \\ x = 2

5 0
3 years ago
Drag the tiles to the correct boxes to complete pair. Two cards are drawn from a well-shuffled standard deck of cards. Match eac
joja [24]

Answer:

The  correct answers are given below

Step-by-step explanation:

In a deck of 52 cards, there are 4 suits of 13 cards

1) Spade(red)

2). Heart(red)

3). Diamonds (red)

4). Clubs (black)

Each suits area ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3 and 2

To find the probabilities

1). The probability of drawing a red ace followed by another ace of any color without replacement = 2/52 *3/51 = 1/442

2). The probability of drawing a 3 or 5 followed by a 4 or 6 with replacement = 8/52 * 8/52 = 4/169

3). The probability of drawing a king followed by queen with replacement =  4/52 * 4/52 = 1/169

4). The probability of drawing a spade followed by a jack of any color with replacement = 13/52 * 4/52 = 1/52

8 0
3 years ago
Read 2 more answers
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