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lara31 [8.8K]
3 years ago
8

The slope of a line is 1/3. What is the slope of a line perpendicular to this line?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
3 0

A perpendicular line has a negative reciprocal of a given line.


The given slope is 1/3, the reciprocal of this would be 3/1, which simplifies to 3.

The negative of 3 is -3.


The answer is a) -3.



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How many three digit numbers have digits whose sum is greater than 2?
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Answer:

896

Step-by-step explanation:

Let's talk first about how many 3 digit numbers there are. The first 3 digit number is 100 and the last is 999. So there are 999-100+1 numbers that are 3 digits long. That simplifies to 900.

Now let's find how many of those have a sum for the digits being 1, then 2 ? Then take that sum away from the 900 to see how many 3 digit numbers have the sum of their digits being more than 2.

3 digit numbers with sum of 1:

The first and only number is 100 since 1+0+0=1.

We can't include 010 or 001 because these aren't really three digits long.

3 digit numbers with sum of 2:

The first number is 101 since 1+0+1=2.

The second number is 110 since 1+1+0=2.

The third number is 200 since 2+0+0=2.

That's the last of those. We could only use 0,1, and 2 here.... Anything with a 3 in it would give us something larger than or equal to 3.

So there are 900-1-3 numbers who are 3 digits long and whose sum of digits is greater than 2.

This answer simplifies to 896.

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3 years ago
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To figure out how much she spent all we have to do is add up $0.85, $4.50 and $1.50

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Answer:

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