Answer:
35. The sum of two numbers is greater then either number = <em>TRUE</em>
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36. The product of two positive numbers is greater than either number = TRUE
37. The difference between two integers is less than either integer = TRUE but only of positive integers.
Explanation:
35.
Let's say we have 2+3. That equals 5, which is higher then both 2 and 3 ( ofc ).
36.
Also true, you can use the same formula above to see it.
37.
Two integer's difference is less than either integer, but only if your using positive integers
Answer:
![y = -\frac{1}{m}x + mc](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7Bm%7Dx%20%2B%20mc)
Explanation:
Given
![y = m(x + c)](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20%2B%20c%29)
Required
Determine an equation of a perpendicular line but with the same y intercept
![y = m(x + c)](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20%2B%20c%29)
Open bracket
![y = mx + mc](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20mc)
A linear equation is represented with:
![y = ax + b](https://tex.z-dn.net/?f=y%20%3D%20ax%20%2B%20b)
Where
![a = slope](https://tex.z-dn.net/?f=a%20%3D%20slope)
![b = y\ intercept](https://tex.z-dn.net/?f=b%20%3D%20y%5C%20intercept)
By comparison:
![a = m](https://tex.z-dn.net/?f=a%20%3D%20m)
![b = mc](https://tex.z-dn.net/?f=b%20%3D%20mc)
So, the slope of
is m
Because the new line is perpendicular to
, the relationship between their slopes is:
![a_2 = -\frac{1}{a_1}](https://tex.z-dn.net/?f=a_2%20%3D%20-%5Cfrac%7B1%7D%7Ba_1%7D)
Where
slope of the first equation
slope of the second equation
Substitute m for
in ![a_2 = -\frac{1}{a_1}](https://tex.z-dn.net/?f=a_2%20%3D%20-%5Cfrac%7B1%7D%7Ba_1%7D)
![a_2 = -\frac{1}{m}](https://tex.z-dn.net/?f=a_2%20%3D%20-%5Cfrac%7B1%7D%7Bm%7D)
Hence, the slope of the new equation is: ![-\frac{1}{m}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7Bm%7D)
From the question, we understand that they have the same y intercept.
So, the equation of the new equation is:
![y = -\frac{1}{m}x + mc](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7Bm%7Dx%20%2B%20mc)
Answer:
They compare quantities for particular categories. View the frequency distribution graph about people who regularly use a specific cell phone app
There are total 12 secton, whereas each has a length of 3/4 yards. We just have to multiply 3/4 with 12. It is also equivlent by adding 3/4 12 times.
Well, the hydrosphere is moving water to provide life for the biosphere. the geosphere is blocking the rain from the hydro and atmosphere from producing life past where it is blocking, so, in essence, the hydrosphere is "moved" into the atmosphere, where it drops onto the geosphere, creating the possibility for life in the biosphere everywhere that is not being "bullied" for lack of better term by the mountains blocking rain.