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igomit [66]
3 years ago
5

Y-3=3(x+1)

Mathematics
1 answer:
Sloan [31]3 years ago
7 0

Answer: x + 3y = 2

Step-by-step explanation:

Given:

y - 3 = 3 ( x + 1 )

y - 3 = 3x + 3

y = 3x + 3 + 3

y = 3x +6

comparing the equation with the formula for finding equation of line in slope - intercept form

y = mx + c , where m is the slope and c  is the y - intercept. This means that the slope of the line above is 3

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if they are perpendicular , then m_{1}m_{2} = -1

Considering this rule , this means that the slope of the line we are to find = \frac{-1}{3}

Using the formula : y - y_{1} = m ( x - x_{1} ) to find the equation of the line , we have

y - (-1 ) = \frac{-1}{3} ( x - 5 )

y + 1 = \frac{-1}{3} ( x - 5 )

multiplying through by 3 , we have

3 ( y + 1 ) = -1 ( x - 5)

Expanding , we have

3y + 3 = -x + 5

writing the equation in standard form , we have

3y + x = 5 - 3

Therefore :

x + 3y = 2

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Answer:

15,000

Step-by-step explanation:

20% of 15,000 is 3,000. 15,000-3,000=12,000

8 0
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horsena [70]

Answer:

0.20 or 20%

Step-by-step explanation:

Brown shoes = 3

Black shoes = 2

Total shoes = 5

Brown pants = 1

Black shoes = 3

Total pants = 4

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Black socks = 6

Red socks = 2

Total socks = 12

In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.

P=P(All\ black)+P(All\ brown)\\P=\frac{2}{5}*\frac{3}{4}*\frac{6}{12}+ \frac{3}{5}*\frac{1}{4}*\frac{4}{12}\\P=0.20

The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.

5 0
3 years ago
PLEASE HELPPP!
Liono4ka [1.6K]

Answer:

Bottle B has a larger volume of lotion therefore the correct answer

Step-by-step explanation:

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1.5×3×4=18/3=6 Bottle B

8 0
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Which of the following is an example of a rational number?
viva [34]
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Maurinko [17]

Answer:

B

Step-by-step explanation:

In this case the method of there being two of the same x values it is NOT a function. Because then there will be two points on top of each other resulting in it not passing the vertical line test on a graph.

6 0
3 years ago
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