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2 years ago

What is the slope of the line that passes through the points (1, -6) and (-8, 9) ?Write your answer in simplest form.

Mathematics

1 answer:

Dmitry [639]2 years ago

5 0

Answer:

5/-3

Step-by-step explanation:

The slope formula is rise/run.

If you graph this, the two points make a line that slopes downwards. The higher point is in the negative axis, which means that the run will be negative.

you rise up 15 points from the first point (1,-6) to get to the same level as the second point. (-8,9). This is your rise.

You go over to the other point, this is your run. The run is -9.

15/-9

we can simplify this fraction.

5/-3 is your final answer.

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What is x if n≠m? Please help!

lorasvet [3.4K]

Answer: $x = \frac{mn(q - p)}{n-m}\\\\$

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Work Shown:

Part 1

$\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\$

Part 2

$\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m} \\\\$

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Explanations:

There are quite a bit of steps. I decided to break things into two parts.
The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
If the formulas don't properly display, then you might have to refresh the page.

7 0

2 years ago

Convert 6600 milliliters into fluid ounces. Round your answer to the nearest whole<br> number.

Sergeeva-Olga [200]

Answer:

223.2725

Step-by-step explanation:

223.2725

3 0

2 years ago

Priya has five pencils each X inches in length when she lines of pencils and and they measure 34.5 in. Select all the equations

Sphinxa [80]

Answer:

You would have to divid 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

3 0

3 years ago

I need help with this,I will mark braily to the right answer!

pentagon [3]

Answer:

where the qutsion

Step-by-step explanation:

3 0

2 years ago

225% of what number is 81

Airida [17]

To find a percentage of a number we multiply the percentage times the number and get the result, here we have the percentage and the result and need to find out which number it corresponds to, lets write an equation to do so and keep in mind that the percentage itself can be written in a different way:
225% = 225 out of 100 = 225/100
So we have this equation, where we call x the number we are looking for:
<span>(225%)(x) = 81
</span>(225/100)(x) = 81
so we solve for x:
225x = 81*100 = 8100
x = 8100/225
x = 36
The original number is 36, hence 225% of 36 is 81

4 0

3 years ago