Sine:
0.94544515492
Cosine:
<span>0.32578130553
</span>
Answer:
8
Dont mind me if i am wrong!
Answer: B
Step-by-step explanation: Look at where the lines intersect
Alternate interior angles are congruent. So, angle 3 = angle 7.
We see that vertical angles are congruent. So, angle 3 also = angle 5.
Alternate exterior angles are congruent.
So, angle 3 also = angle 1.
For this case we have the following equation:
![25^{x} = 5^{ x^2-3}](https://tex.z-dn.net/?f=25%5E%7Bx%7D%20%3D%205%5E%7B%20x%5E2-3%7D)
Rewriting we have:
![5^{2 (x)} = 5^{ x^ 2-3}\\5^{ 2x} = 5^{ x^ 2-3}](https://tex.z-dn.net/?f=5%5E%7B2%20%28x%29%7D%20%3D%205%5E%7B%20x%5E%202-3%7D%5C%5C5%5E%7B%202x%7D%20%3D%205%5E%7B%20x%5E%202-3%7D)
For expressions to be equal, exponents must be equal. So:
![2x = x ^ 2-3\\x ^ 2-2x-3 = 0](https://tex.z-dn.net/?f=2x%20%3D%20x%20%5E%202-3%5C%5Cx%20%5E%202-2x-3%20%3D%200)
To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.
![(x-3) (x + 1) = 0](https://tex.z-dn.net/?f=%28x-3%29%20%28x%20%2B%201%29%20%3D%200)
Thus, the roots are:
![x_ {1} = 3\\x_ {2} = - 1](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%203%5C%5Cx_%20%7B2%7D%20%3D%20-%201)
Answer:
![x_ {1} = 3\\x_ {2} = - 1](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%203%5C%5Cx_%20%7B2%7D%20%3D%20-%201)