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Mashcka [7]
3 years ago
13

Which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

3x - 4y = 6

Subtract sides -3x

- 3x + 3x - 4y =  - 3x + 6

- 4y =  - 3x + 6

Divided sides by -4

\frac{ - 4}{ - 4}y =  \frac{ - 3}{ - 4}x +  \frac{6}{ - 4} \\

y = \frac{3}{4}x -  \frac{3}{2}  \\

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

slope =  \frac{3}{4} \\

_________________________________

We have following equation to find the point-slope form of the linear functions.

y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\

Now just need to put the slope and the given point in the above equation.

y - 6 =  \frac{3}{4} \times (x - 4) \\

Multiply sides by 4

4(y - 6) = 3(x - 4)

4y - 24 = 3x - 12

Plus sides 24

4y - 24 + 24 = 3x - 12 + 24

4y = 3x + 12

Subtract sides -3x

4y - 3x = 3x - 3x + 12

4y - 3x = 12

And we're done....♥️♥️♥️♥️♥️

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\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}

↦<u>∠ 3, ∠ 2, ∠ 6, ∠ 5</u> are the exterior angles in this figure.

<h3><u>Step-by-step explanation:</u></h3>

↦ They aren't located inside the figure like ∠ 1 & ∠ 4, so they are exterior angles.

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8 0
3 years ago
1.) The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during pe
alisha [4.7K]

Answer:

a) For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

X \sim Unif(a=0,b=8)

Where a and b represent the limits of the distribution.

b) f(x) = \frac{1}{8}= 0.125, a\leq x \leq b

And the height for this case would be 0.125

Step-by-step explanation:

Part a

For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

X \sim Unif(a=0,b=8)

Where a and b represent the limits of the distribution.

Part b

For this case the density function would be given by:

f(x) = \frac{1}{8}= 0.125, a\leq x \leq b

And the height for this case would be 0.125

And f(x)= 0  for other case.

The cumulative distribution function would be given by:

F(x) = 0, x

F(x) = \frac{x-a}{b-a}= \frac{x}{8}, 0\leq x < 8

F(x) = 1, x\geq 8

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3 years ago
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Svetradugi [14.3K]

Answer:

k - 3 : k + 2

Step-by-step explanation:

3 less than k = k - 3

2 more than k = k + 2

Ratio of 3 less than k to 2 more than k

In ratios, the word 'to' is represented as a colon :

k - 3 : k + 2

Hope this helps :)

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KiRa [710]

Answer:

D. 7/8 pound

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7/8 pound of dried fruit will be put into the cookies in all.

5 0
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