

This is a way to factoring trinomials (there exist different equivalent methods).
Multiply the trinomial but the term accompanying
. This is the second line. Then, you could take the square of the
, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want 
In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have 
The last step is divide by the number that we multipy in the first step.
Answer:
? = 57
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj/ hyp
cos ? = 14/26
Taking the inverse cos of each side
cos ^-1 ( cos ?) = cos ^-1 ( 14/26)
? = 57.42102961
To the nearest degree
? = 57
Answer:
5.)C 6.)A 7.)D 8.)D 9.)A 10.)B
Step-by-step explanation:
(6 × 10⁷)/(5 × 10⁴)
We could simplify the exponential number of 10 by substracting the exponent number, it could be written as
= 6/5 × 10⁷⁻⁴
= 6/5 × 10³
= 1.2 × 10³
(This is the final answer)