Answer:
10ˣ² +19ˣ + 6
Step-by-step explanation:
5ˣ(2x + 3) + 2 (2x + 3 )
10x² + 15x + 2(2x + 3 )
10x² + 15x + 4x + 6
= 10x² + 19x + 6
Sec x = 1/Cosx
Pi radians = 180 degress
Pi/12 = 180/12 = 15 degrees.
Sec15° = 1/Cos15°
Sec pi/12 = Sec 15° = 1/Cos 15°
Cos 15° = 0.9659 using a calculator.
Sec pi/12 = Sec 15° = 1/Cos 15° = 1/0.9659 = 1.0353
Sec Pi/12 = 1.0353
The sum of length and width is half the perimeter, so is (70 in)/2 = 35 in. Since this is the sum of length and width, if we add 5 inches, it will be twice the length. That is ...
... length + width = 35 in
... length + (width + 5 in) = (35 in) + (5 in)
... 2×length = (35 in) + (5 in) = 40 in
The length of the rectangle is 20 inches.
The remote angles of the figure shown above of angle 5 are angle 3, angle 2, and angle 1. Remote angles are just angles inside the triangle. In this case, The angles that are inside the triangle are 3, 2 and 1.
From the given functions, it can be seen that the graph of g(x) represents a shift of 6 units to the left of the graph of f(x).
Given a function, f(x), a shift of k units to the left of f(x) is given by g(x + k).
Therefore, if g(x) = f(x + k), then k = 6.