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schepotkina [342]
3 years ago
11

Write an equation of four lines that intersect to form the sides of a parallelogram

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
The question requires that the four lines that intersect form a parallelogram but not an specific parallelogram, so you are not restricted by a diagram.

You can use these equations for the four lines:

1) y = 0 (it is the x-axis)

2) y = 4 (it is a line parallel to the x-axis, whose y-intercept is 4.

3) y = x (it is an inclined line that intersects both y = 0 and y = 4 lines.

4) y = x + 7 (it is a line parallel to y = x, that also intersect the both y = 0 and y = 4 lines.
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She spent 8 months in the 1st gym and 4 months in the 2nd gym

Step-by-step explanation:

Jan spends part of her year as a member of a gym.

  • She then finds a better deal at another gym so she cancels her membership with the first gym after x months
  • She spends the rest of the year, y months, with the second gym
  • The membership to the first gym costs $75 per month, while the membership for the second gym costs $45 per month
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We need to find how much time she spent at each gym

∵ She spent x months in the 1st gym

∵ She spent y months in the 2nd gym

∵ Her course is a year

- There are 12 months in a year

∴ x + y = 12 ⇒ (1)

∵ The membership to the first gym costs $75 per month

∵ The membership to the second gym costs $45 per month

∵ She ended up spending a total of $780 over the course

∴ 75x + 45y = 780 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -45 to eliminate y

∵ -45x - 45y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ 30x = 240

- Divide both sides by 30

∴ x = 8

- Substitute the value of x in equation (1) to find y

∵ 8 + y = 12

- Subtract 8 from both sides

∴ y = 4

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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You are paid $8.50/hr at your part-time job. Your deductions are FICA (7.65%), federal tax withholding (9.15%), and state tax wi
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