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Andrej [43]
3 years ago
10

What is the slope of the equation of 3x+9y=-9

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0
To solve this, you must put the equation in slope-intercept form, which is y=mx+b.
To do this, isolate y.

First, subtract 3x from both sides.
3x + 9y = -9
3x + 9y - 3x = 9y
-9 - 3x = -9 - 3x
9y = -9 - 3x

Now, divide both sides by 9.
9y = -9 - 3x
9y / 9 = y
-9 / 9 = -1
-3x / 9 = -0.33x = -1/3x
y = -1 - 1/3x

In y = mx + b form:
y = -1/3x - 1

In slope intercept form, m is the slope.
In our answer, -1/3 is m, so it is the slope.

So the final answer is that the slope is -1/3.

Hope this helps! 
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ella [17]

Answer:

24 minutes.

Step-by-step explanation:

This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.

First you should note that answer will be under 40 minutes.

1/40 + 1/60 = 1/TimeTotal

The common denominator on the left is 120 minutes

3/40*3 + 2/60*2 = 1/timetotal

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5/120 = 1/time total  Now to use to the key stop

What you do now is you always turn the left side over. You do the same thing to total time.

120/5 = total time

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What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.

4 0
3 years ago
8-2|4-5y|=4<br><br> | | stands for absolute value
Contact [7]

Answer:

y = (2/5) OR y = (6/5)

Step-by-step explanation:

The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:

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If we plug both of these answers back into the equation we can see that they both check out.

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balandron [24]
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Answer:

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