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Leni [432]
3 years ago
15

What is an equation of the line that passes through the point (-5, -6) and is

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer: y= 2x +4

Step-by-step explanation:

1. To be able to write the equation of the line, you want to be able to find the slope first. To do so, rearrange the given equation x+2y=2 into slope-intercept form, which is y=mx+b

First subtract x from both side, which will give us 2y=2-x. Rearrange this to get 2y= -x+2. Then, divide both sides by 2. This will give us y= -1/2x+1

2. Now that you have the equation, look for the slope in the new equation; this will be the m value. In this case, the slope is -1/2. Since we are looking for a line that is perpendicular, we have to change the slope so that it is the opposite reciprocal. The opposite reciprocal of -1/2 is 2, so the slope of the equation we want to find is 2.

3. Next, all we have to do is plug the given ordered pair (-5, -6) and the slope that we found (m=2) into the point-slope equation, which is y-y_{1} = m(x-x_{1} )

That will give us:

y+6 = 2(x+5)

4. Now, solve this equation.

y+6 = 2(x+5)  --> distribute the 2 inside the parentheses

y+6 = 2x + 10  --> subtract 6 from both sides

y= 2x +4

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There are 15 European cities that Kevin would eventually like to visit. On his next vacation, though, he only has time to visit
antoniya [11.8K]

Answer:

32760 different schedules are possible.

Step-by-step explanation:

The order is important.

For example

Prague on Monday, Berlin on Tuesday, Liverpool on Wednesday and Athens on Thursday is a different schedule than Berlin on Monday, Prague on Tuesday, Liverpool on Wednesday and Athens on Thursday.

So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!)}

How many different schedules are possible?

Choose 4 cities among a set of 15. So

P_{(15,4)} = \frac{15!}{(15-4)!)} = 32760

32760 different schedules are possible.

6 0
3 years ago
3) A data set has 11 numbers in it. Each number is a whole number and there are no repeats. The bottom 2 values of the data set
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C) 18 is your answer

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3 years ago
Woody has a lasso is 11ft long. No peep has a lasso that is 23ft longer than wordy how long is no peep lasso
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Answer:

Bo Peep's lasso is 34ft long.

Step-by-step explanation:

Simply add 11 to 23.

Hope that helps!

4 0
2 years ago
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Answer:

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Step-by-step explanation:

Combine like terms

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b+ -3b= -2b

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What is 4627926 rounded to the nearest 100000
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500000 that's the answer
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