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Eduardwww [97]
3 years ago
7

Write an equation of the line that passes through (-2,3) and is parallel to the line y=2x-4

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

Equation: y = 2x + 7

Step-by-step explanation:

If the line is parallel to the line resembling the equation y = 2x - 4, it would mean that the line would have a similar slope, leading to part of the equation:

y = 2x

Now substitute the x-coordinate -2 and y-coordinate 3 into the equation * (derived from (-2, 3) ):

3 = 2(-2)

Now simplify either side:

3 = -4

For 3 to equal -4, you would have to add 7:

3 = -4 + 7 = 3

This means the final equation is:

y = 2x + 7

(Sorry if this isn't the way you expected to solve the question)

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Solve this system of equations. y = 5x +20 and y = -2x -8
Thepotemich [5.8K]

Answer:

y = 0

x = -4

( x, y ) = ( -4 , 0 )

Step-by-step explanation:

y = 5x + 20

y = -2x - 8

Substitute

5x + 20 = -2x - 8

Add 8 on both sides

5x + 20 + 8 = -2x - 8 + 8

5x + 28 = -2x

Subtract 5x on both sides

5x - 5x + 28 = -2x - 5x

28 = -7x

Divide by -7 on both sides

28/-7 = -7x/-7

-4 = x

Now that you have x, you can substitute it in one of the equations that was given to find the value of y.

y = 5x + 20

y = 5(-4) + 20

y = -20 + 20

y = 0

Or....

y = -2x - 8

y = -2(-4) - 8

y = 8 - 8

y = 0

They will both be 0 no matter what

Point form = ( -4, 0 )

Hope this helped

3 0
3 years ago
Tanya finds 22 leaves Maurice finds 5 more leaves than Tanya finds how many leaves do the two children find
Mila [183]

Answer:

22 + 27 = <u><em>49</em></u>

<u><em></em></u>

:) :)

8 0
3 years ago
Read 2 more answers
2. A statistics student plans to use a TI-84 Plus calculator on her final exam. From past experience, she estimates that there i
Anarel [89]

Answer:

  1. P(≥1 working) = 0.9936
  2. She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.

Step-by-step explanation:

1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...

... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936

2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.

If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.

This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.

_____

My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)

7 0
3 years ago
What best describes how the parameter c is related to the period of the function?
ioda

Answer:

Is there a picture?

Step-by-step explanation:

5 0
2 years ago
If m A= m B and m A+mC = D, then
rusak2 [61]

Answer: Substitution

Step-by-step explanation:

Because you know A is equal to B, you can substitute A for B in any mathematical equation. Essentially, you are switching mA $ mB.

3 0
3 years ago
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