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Zanzabum
3 years ago
7

Write the equation of the line which passes through (2, –1) and is perpendicular to the line with equation 3y – x = 1.

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

You can start by swapping the x- and y-coefficients and negating one. In standard form the x-coefficient must be positive, so it is convenient to choose that.

... 3x +y = ??

The ?? is a constant chosen to make sure the line goes through the given point. If you fill in 2 for x and -1 for y, you see what the constant needs to be.

... 3x + y = 3(2) +(-1) = 5

The equation is 3x + y = 5.

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Answer:

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Step-by-step explanation:

1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.

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2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).

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3. The n-th term of an arithmetic sequence is given by ...

  an = a1 +d(n -1)

You are given a1 = 2, a12 = 211, so ...

  211 = 2 + d(12 -1)

  209/11 = d = 19 . . . . . solve the above equation for the common difference

Now, we can use the same equation to find n for an = 135.

  135 = 2 + 19(n -1)

  133/19 = n -1 . . . . . . . subtract 2, divide by 19

  7 +1 = n = 8 . . . . . . . . add 1

135 is the 8th term of the sequence.

3 0
3 years ago
What is 1m + 3/4 this too hard
TiliK225 [7]

Answer:

m = - 3 / 4

Step-by-step explanation:

1m + 3/4 = 0

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hope this helps

4 0
2 years ago
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Last week Karen spent $121.35 on food for her family. She only has $200 to spend every two weeks. How much does hse have left to
yan [13]

Answer:

$78.65

Step-by-step explanation:

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5 0
3 years ago
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Answer:

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Please show me the steps to this thank you.
irakobra [83]
Since the lines are perpendicular the opposite angle of labeled is also 60° and so would the two angles on the the lower just opposite way therefore 8x-4=60
-4 -4
8x=56
/8 /8
X=7
5 0
3 years ago
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