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3 years ago

Parallel to y=2/3x+6 through (-3, 6)

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

Answer:

y = (2/3)x + 8

Step-by-step explanation:

Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.

y = (2/3)x + ?

Plug in (-3, 6) for (x, y) in the equation.

6 = (2/3)(-3) + ?

6 = -2 + ?

? = 8

Final equation: y = (2/3)x + 8

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Question 8b , thanks

marta [7]

Answer:

Step-by-step explanation:

$a = \frac{2b+1}{3b-1}$

b = 2/3

$2b + 1 = 2*\frac{2}{3}+1\\\\=\frac{4}{3}+1\\\\=\frac{4}{3}+\frac{3}{3}\\\\=\frac{7}{3}\\\\3b-1 = 3*\frac{2}{3}-1\\\\=2- 1 = 1\\\\\\$

$a = \frac{2b+1}{3b-1}\\\\a=\frac{\frac{7}{3}}{1}\\\\=\frac{7}{3}\\\\$

a = 7/3

$\frac{2b+1}{3b-1}=a\\\\$

Cross multiply,

2b + 1 = a*(3b - 1)

2b + 1 = a*3b - 3*a

2b + 1 = 3ab- 3a

2b = 3ab - 3a - 1

2b - 3ab = -3a - 1

b(2 - 3a) = -3a - 1

$b =\frac{-3a - 1}{2 - 3a}$

3 0

2 years ago

Number of minutes 1 2 3 4 5 6 7 8 9 10

umka21 [38]

Answer: please find the attached file for the graph.

Step-by-step explanation:

Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5

Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.

In bar chart, the bars will not touch each other.

Please find the attached file for the solution and figure

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2 years ago

Factors of 28 and 44

erastovalidia [21]

28= 1,2,4,7,14,28,

44=1,2,4,11,22,44,

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31 days x 160 residents=

k0ka [10]

Answer:

4960?

Step-by-step explanation:

31 times 160 = 4960

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Step-by-step explanation:

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