The slope of this line is -1/3. To determine slope, you can remember the phrase rise over run. To elaborate, this example has points on (0,4) and (6,2). Use rise over run to solve this.
Starting from the (6,2) go up two units to be on the same line which (0,4) is on. Count the units going left until you reach that point. You should have come up with 6. Technically, the slope would be -2/6 because the line is going downwards, but it can be simplified to -1/3.
An actual equation you can use is y2-y1/x2-x1: 6-4/0-3= -2/6 = -1/3
Let's first put 8/9 and 5/12 in simplest form.
We need to have the denominators at the same value by find the greatest common multiple.
The GCM of 9 and 12 is 36. By making both denominators 36, we also have to change the numerator.
36/9 is 4 so the numerator of 8/9 has to be multiplied by 4, making that 32/36.
36/12 is 3 so the numerator of 5/12 has to be multiplied by 3, making that 15/36.
Now, that we have the same denominators, we can subtract.
32/36-15/36 can be done simply by just subtracting the numerators together. Remember, the denominators stay the same.
32/35-15/36 = 17/36
Since there is no least common multiple of 17 and 36, then 17/36 is the final answer.
The answer is the fourth root of 2.
2 to the 3 over 4 power is
2 to the 1 over 2 power is
2 to the 3 over 4 power, all over 2 to the 1 over 2 power is
So, use the rule:
Now, use the rule:
which is the same as the fourth root of 2.
It would be the bottom because think if you put 500 in an account and pay it annually you would add it because he's paying annually and that means every time he pays your adding to your account