Answer:
Option (b) is correct.
The expression is equivalent, but the term is not completely factored.
Step-by-step explanation:
Given : a student factors to
We have to choose the correct statement about from the given options.
Given is factored to
Consider
Using algebraic identity,
comparing and b = 4, we have,
Thus, the factorization is equivalent but we can simplify it further also, as
Using algebraic identity,
Thus,
Can be written as
Thus, the expression is equivalent, but the term is not completely factored.
Option (b) is correct.
Sec(x/2) = 1/cos(x/2)
sec(x/2)=cos(x/2) ----> cos^2(x/2)=1 ---> cos(x/2) = -1 and cos(x/2) = 1
Cos(x/2)=1 --- > x/2 = 0, only. x = 0;
cos(x/2)=-1 ----> x/2 = pi -> x = 2pi. But the statement says [0,2pi), so 2pi can not be chosen.
Only x = 0.
In fact, your equation is equivalent to sec(x)=cos(x), for x in [ 0, pi), so yes, only x = 0 .
Answer:
x = 13 1/2 or 27/2
Step-by-step explanation:
1st Add 2 to both sides: 2/3x-2+2=7+2
2nd Simplify: 2/3x = 9
3rd Multiply both sides by 3: 3*2/3x=9*3
4th Simplify: 2x=27
5th Divide both sides by 2: 2x÷2=27÷2
6th Simplify: x = 13 1/2 or 27/2
Answer:
theres 2
Step-by-step explanation:
