Answer: (7n - 2)² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 =>
7n² - 4n = 21 + 14
3) Combine like terms =>
7n² - 4n = 35
4) multiply both terms by 7 =>
(7n)² - 4(7n) = 35×7
5) form the squared binomial:
(7n - 2)² - 4 = 35×7
6) Transpose - 4 =>
(7n - 2)² = 35×7 + 4
7) Do the operations on the right side:
(7n - 2)² = 249 or (7n - 2)² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n)² - 2(7n) + 4 - 249 = 0
(7n)² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
Answer:
Step-by-step explanation:
Recall that on the unit circle, each point is represented as 
where 
. In this case, we are asked to take a loot at the interval 
.
We will use the definition of tangent to solve the problem. REcall that
So, in this case, tangent is undefined whenever the denominator is zero. That is, when 
. Checking the unit circle with the interval , this restriction corresponds to the upper half of the unit circle. In this case, the x component of each point is cosine. We are interested at the points where .
. This happens only at the point (0,1), which is associated with the value of 
(4 x 3) - 8 is your answer.
Product of 4 and 3 translates to 4 x 3
Sum of said product and - 8 translates to 4 x 3 - 8
Because of PEMDAS, we must multiply first. So in order to make sure your expression says this, you must use parentheses.
Answer
Subtract 
from 
then;
Remove the bracket we have;
Like terms are those terms which have same variable to the same power.
Combine like terms;
Therefore, Subtracting from we get
