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lisabon 2012 [21]
3 years ago
13

Please help me! i would appreciate it

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Answer:

hope this helps

Step-by-step explanation:

part.1

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Which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
Pachacha [2.7K]

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....♥️♥️♥️♥️♥️

4 0
3 years ago
A rectangular deck has an area of 320ft^2. the length of the deck is 4 feet longer than the width. find the dimensions of the de
Digiron [165]
A = L * W
A = 320
L = W + 4

320 = W(W + 4)
320 = W^2 + 4W
W^2 + 4W = 320
W^2 + 4W + 4 = 320 + 4
(W + 2)^2 = 324
W + 2 = (+-) sqrt 324
W = -2 (+-) 18

W = -2 + 18 = 16 ft <== this is the width
W = -2 - 18 = -20....not this one because it is negative

L = W + 4
L = 16 + 4
L = 20 ft <=== this is the length

in summary...the width is 16 ft and the length is 20 ft 

7 0
3 years ago
Your carry-on bag can weigh at most 40 pounds.Select an inequality that represents how much more weight x (in pounds) you can ad
andrey2020 [161]

Answer:

22 + x ≤ 40

x ≤ 18 pounds

Step-by-step explanation:

Maximum weight = 40 pounds

Initial weight = 22 pounds

Let Maximum weight that can be added = x

Mathematically, this means :

Initial weight + additional weight ≤ 40

That is ;

22 + x ≤ 40

Additional weight, x :

x ≤ 40 - 22

x ≤ 18 pounds

7 0
3 years ago
Write a real word problem that can be represented by the equation a - 6 = 15
chubhunter [2.5K]

Answer: your friend is trying to find out how many canys are in a box(a) and he gives you 6 and has 15 left

Step-by-step explanation:

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2 years ago
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9. At the football club there are 3 boys for every 2 girls. There are
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Answer:

hay 20 chicas

Step-by-step explanation:

4 0
3 years ago
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