<span>n = -2 is the correct answer</span>
We have:

Thus:

Adding

gives:

Factoring gives:

Thus, we have:

or

.
Note that because

, there will be no solutions

of the form

for positive integer

and solution

. So we find the basic values of

giving

.
For

with positive

,

(this can be seen easily from the unit circle. But

, a contradiction. So we examine the case in which

.
In this case,

. So this is the only solution to this equation.
Substituting this back in, we have

, as desired. So this is a valid solution.
Thus,

.
9.03 * 10² =
9.03 * 100 =
903
Answer:
y = x^2 - 6 and y = x - 4
Step-by-step explanation:
It's x^2 - 6, because the parabola was moved 6 down, and positive slope, so in the linear, x is positive
Sin(13π/8) , is in quadrant IV so the angle will be negative, find the reference angle.
<span>sin(13π/8) = -sin(16π/8 - 13π/8) = -sin(3π/8) = -cos(4π/8 - 3π/8) = - cos(π/8). </span>
<span>Use half angle formula for cos(x): </span>
<span>cos²(x/2) = (cos(x) + 1) / 2 </span>
<span>Let x = π/4 </span>
<span>cos²(π/8) = (cos(π/4) + 1) / 2 </span>
<span>cos²(π/8) = (√(2) / 2 + 1) / 2 </span>
<span>cos(π/8) = √(√(2) / 4 + 1/2) </span>
<span>-cos(π/8) = -√((√(2) + 2) / 4)</span>