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DochEvi [55]
3 years ago
11

2. Sketch the graph: 4y – 3x = 12.​

Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

  see below

Step-by-step explanation:

A graphing calculator is useful for this.

__

To find the x-intercept, set y=0 and solve for x:

  0 -3x = 12

  x = -4 . . . . . . divide by -3

To find the y-intercept, set x=0 and solve for y:

  4y - 0 = 12

  y = 3 . . . . . . divide by 4

Plot the x- and y-intercepts on their respective axes and draw a line through them.

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(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +
jekas [21]

Answer:

1. The slope of the line is m=\frac{-2b+3}{2a}.

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

m=\frac{-b-(b-3)}{a+3-(-a+3)}

m=\frac{-b-b+3}{a+3+a-3)}

m=\frac{-2b+3}{2a}

The slope of the line is m=\frac{-2b+3}{2a}.

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

m_1=\frac{5-1}{6-a}=\frac{4}{6-a}

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}

The slopes of two parallel lines are same.

m_1=m_2

\frac{4}{6-a}=\frac{-6}{a}

On cross multiplication we get

4a=-6(6-a)

4a=-36+6a

4a-6a=-36

-2a=-36

Divide both sides by -2.

a=18

Therefore the value of a is 18.

8 0
3 years ago
Can I please get an explanation and answer for this problem.
Gnom [1K]

Answer:

132 degrees

Step-by-step explanation:

This is because if you have a 90 degree angle than the angles connected to it will be equal

7 0
3 years ago
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A card is selected at random from a standard deck of 52 playing cards. find each probability.(a) randomly selecting a club or a
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B) The probability of a red card is 26/52; the probability of a King is 4/52; the probability of a red card or King is 

26/52+4/52=30/52 = 15/26

C) The probability of a 9 is 4/52; the probability of a face card is 12/52; the probability of a 9 or a face card is 4/52+12/52 = 16/52 = 4/13
7 0
3 years ago
Which number best represents the slope of the graphed line?
ryzh [129]
A. -5 i think it is the right answer
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3 years ago
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For questions 18-20, decide whether each transformation will result in congruent or similar figures.​
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18. The shape is only shifted to a different location and orientation but remains the same size so this is congruent.

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