Answer:
3pi/4
Step-by-step explanation:
well we know that sin of pi/2 we just need to solve for 2x-pi = pi/2
so that means that 2x must be 3pi/2 and x is 3pi/4
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Answer:
I don't think so man
Step-by-step explanation:
math .....................
4 + 2(3x - 7) + 5x
Distribute
4 + 6x -14 + 5x
Combine like terms
-10 +11x or 11x - 10
Third option
Plot a graph of y-axis against x-axis.
The graph should be a straight line passing through:
(-2,0.8) , (-1,-0.4) , (0,0) , (1,0.4) and (2,0.8)
For this case we must factor the following expression:![x ^ 2-12x-20](https://tex.z-dn.net/?f=x%20%5E%202-12x-20)
We have that the expression cannot be factored with rational numbers.
On the other hand, we can find the zeros, applying the quadratic formula we have:![x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-b%20%5Cpm%20%5Csqrt%20%7Bb%20%5E%202-4%20%28a%29%20%28c%29%7D%7D%20%7B2%20%28a%29%7D)
Where:
![a = 1\\b = -12\\c = -20](https://tex.z-dn.net/?f=a%20%3D%201%5C%5Cb%20%3D%20-12%5C%5Cc%20%3D%20-20)
![x = \frac {- (- 12) \pm \sqrt {(- 12) ^ 2-4 (1) (- 20)}} {2 (1)}\\x = \frac {12 \pm \sqrt {144-4 (1) (- 20)}} {2 (1)}\\x = \frac {12 \pm \sqrt {144 + 80}} {2}\\x = \frac {12 \pm \sqrt {224}} {2}\\x = \frac {12 \pm \sqrt {16 * 14}} {2}\\x = \frac {12 \pm4 \sqrt {14}} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-%20%28-%2012%29%20%5Cpm%20%5Csqrt%20%7B%28-%2012%29%20%5E%202-4%20%281%29%20%28-%2020%29%7D%7D%20%7B2%20%281%29%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B12%20%5Cpm%20%5Csqrt%20%7B144-4%20%281%29%20%28-%2020%29%7D%7D%20%7B2%20%281%29%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B12%20%5Cpm%20%5Csqrt%20%7B144%20%2B%2080%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B12%20%5Cpm%20%5Csqrt%20%7B224%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B12%20%5Cpm%20%5Csqrt%20%7B16%20%2A%2014%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B12%20%5Cpm4%20%5Csqrt%20%7B14%7D%7D%20%7B2%7D)
Thus, the roots would be:
![x_ {1} = 6 + 2 \sqrt {14}\\x_ {2} = 6-2 \sqrt {14}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%206%20%2B%202%20%5Csqrt%20%7B14%7D%5C%5Cx_%20%7B2%7D%20%3D%206-2%20%5Csqrt%20%7B14%7D)
Answer:
the expression cannot be factored with rational numbers.