Answer:
About 30 min.
Step-by-step explanation:
Since it takes 10 min to walk a half of mile, it will take 20 min to walk a whole mile.
Since we will be walking one and a half miles, it should take about 30 minutes.
Hope this helps.
1 is tan 0 = -18/10 = -9/5
2 is tan 0 = 3/4
In general, an angle with a terminal side on the point (x, y) the tan of that line is the fraction y/x
Answer:
1) The factors of
are ![\mathbf{(x-1)(x-2)=0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x-1%29%28x-2%29%3D0%7D)
Option C is correct.
3) The factors of
are ![\mathbf{(x-2)(x+4)=0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x-2%29%28x%2B4%29%3D0%7D)
Option B is correct.
Step-by-step explanation:
1) Factor : ![x^2-3x+2=0](https://tex.z-dn.net/?f=x%5E2-3x%2B2%3D0)
For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.
The middle term : -3x
We can break them as (-2x)( -x)
Solving:
![x^2-3x+2=0\\x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0](https://tex.z-dn.net/?f=x%5E2-3x%2B2%3D0%5C%5Cx%5E2-2x-x%2B2%3D0%5C%5Cx%28x-2%29-1%28x-2%29%3D0%5C%5C%28x-1%29%28x-2%29%3D0)
So, factors of
are ![\mathbf{(x-1)(x-2)=0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x-1%29%28x-2%29%3D0%7D)
Option C is correct.
3) Factor: ![x^2+2x-8=0](https://tex.z-dn.net/?f=x%5E2%2B2x-8%3D0)
For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.
The middle term : 2x
We can break them as (4x)( -2x)
Solving
![x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0](https://tex.z-dn.net/?f=x%5E2%2B2x-8%3D0%5C%5Cx%5E2%2B4x-2x-8%3D0%5C%5Cx%28x%2B4%29-2%28x%2B4%29%3D0%5C%5C%28x-2%29%28x%2B4%29%3D0)
So, factors of
are ![\mathbf{(x-2)(x+4)=0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x-2%29%28x%2B4%29%3D0%7D)
Option B is correct.
Answer:
Step-by-step explanation:
f(x)-g(x)=3x+2-x+3
=2x+5