Answer:
<h2> The second: 8m + 7n - 3 </h2>
Step-by-step explanation:
Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8.
Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)
Q + S - T = <u>7m</u> + 3n + n + 5 <u>+ m</u> + 3n - 8
Q + S - T = 8m + 7n - 3
We are given the function
F(x) = 9 sinx + cot x
We need to take the first derivative of the given function so,
F' (x) = 9 cos x - csc² x
Next, we equate the first derivative of the function to 0 and solve for the values of x
0 = 9 cos x - csc² x
Solving for x
x = 2.04
Picking out an arbitrary value between 2.04 and π, say 3 and substituting in F(x)
F(3) = 9 sin 3 + cot 3 = 19.55
Therefore, the interval where the function is increasing is from 2.04 to π
Consequently, the interval where the function is decreasing is from -π to 2.04<span />
Answer:
+ 1
Step-by-step explanation:
Given
x² + 2x
Using the method of completing the square
add ( half the coefficient of the x- term)² to x² + 2x
= x² + 2(1)x + 1²
= x² + 2x + 1
= (x + 1)² ← perfect square
Step-by-step explanation:
1. By angle bisector property or theorem
2. Multiplying both side by PC
Answer: The graph is attached.
Step-by-step explanation:
By definition, the line intersects the y-axis when 
.
Then, in order to find the y-intercept, substitute into the equation and solve for "y":
By definition, the line intersects the x-axis when 
.
Then, in order to find the x-intercept, you can substitute into the equation and then you must solve for "x". Then you get:
Knowing that the line passes through the points 
and 
, you can graph it (The graph is attached).
