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galben [10]
3 years ago
15

Answer to math class

Mathematics
1 answer:
Fantom [35]3 years ago
5 0

1/3 of 12,000 ballots were thrown out.

1/3 * 12,000 = 12,000/3 = 4,000

4,000 ballots were thrown out.

12,000 - 4,000 = 8,000

There were 8,000 ballots left.

1/4 of 8,000 ballots are for candidate A.

1/4 * 8,000 = 8,000/4 = 2,000

Candidate A received 2,000 votes.

8,000 - 2,000 = 6,000

Candidate B received 6,000 votes.

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What is the solution to the linear equation?
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Answer:

x=-5

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t
nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

m_ {1} * m_ {2} = - 1

The given line is:

5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3

So we have:

m_ {1} = \frac {5} {2}

We find m_ {2}:m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}

So, a line perpendicular to the one given is of the form:

y = - \frac {2} {5} x + b

We substitute the given point to find "b":

-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2

Finally we have:

y = - \frac {2} {5} x-2

In point-slope form we have:

y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)

ANswer:

y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)

3 0
3 years ago
Read 2 more answers
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