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olganol [36]
3 years ago
9

Consider the line y=2x-8.

Mathematics
2 answers:
andrey2020 [161]3 years ago
8 0

Answer: The slope of a line parallel to this line is 2. The slope of a line perpendicular to this line is -\frac{1}{2}.

Step-by-step explanation:

You know that your slope for this equation is 2, since that is your “m” in the slope-intercept equation, y = mx + b.

Lets split this into two parts.

<u>Part 1: Finding the parallel slope</u>

We know that the slopes of paralell lines are the same.Therefore, the slope of a line parallel to the one we know would also be 2!

<u>Part 2: Finding the perpendicular slope</u>

We also know that the slopes of perpendicular lines are <em>opposite reciprocals</em>, meaning the the sign (negative or positive) is changed, and the number is flipped over itself. As taught in my pre-algebra class, <em>change the sign, flip the line.</em>

Here is an example:

The opposite reciprocal of the number 5 is -\frac{1}{5}. First, I changed the number to negative, then I figured out that 5 is technically \frac{5}{1}, so I flipped that around.

Now, let’s get on to the real problem. If you do the math, the opposite reciprocal of 2 will be -\frac{1}{2}. Therefore, that is your slope of that perpendicular lime.

Hope this helps! :)

professor190 [17]3 years ago
3 0

Answer:

The slope of a parallel line is 2.

The slope of a perpendicular line is: -1/2

Step-by-step explanation:

The slope of the line y=2x-8  is 2.

Parallel lines has the same slope.

Perpendicular lines has the negative reciprocal of the slope.

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3 years ago
Remy drinks 214 cups of water every 145 hours.
Tcecarenko [31]

Answer:

1  69/145 cups

Step-by-step explanation:

We can use ratio's to solve this problem.  We will put water over time

214 cups           x cups

--------------- = --------------

145 hours        1 hours


Using cross products

214 *1 =145 x

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4 0
3 years ago
Read 2 more answers
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order. The profit for the
jeka94

Answer:

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

Step-by-step explanation:

The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.

That is:

3 : 2 : 5

The profit for the year was $176,500.

To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.

The total ratio is:

3 + 2 + 5 = 10

The first partner will receive 3/10 of the profits:

\frac{3}{10} * 176500 = $52950

The second partner will receive 2/10 of the profits:

\frac{2}{10} * 176500 = $35300

The third partner will receive 5/10 of the profits:

\frac{5}{10} * 176500 = $88250

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

7 0
3 years ago
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