Answer:
It's 4
Step-by-step explanation:
every integer is the rational number, so, a whole number 6 can be written as 6/1. 2/3 x 6 = 12/3 as simplified as 4/1 in fraction form.
Answer:
80
Step-by-step explanation:
From the given diagram;
KN = NM
9x - 5 = 7x + 7
9x - 7x = 7 + 5
2x = 12
x = 12/2
x = 6
Since KM= 2KL
KM = 2(6x+4)
KM = 12x + 8
KM = 12(6)+8
KM = 72+8
KM = 80
Hence the length of KM is 80
T=s+14
T+s=82
(s+14)+s=82
2s+14=82
s=34
t+48
Answer:
g(f(x)) = x² + 6x + 9
General Formulas and Concepts:
<u>Algebra I</u>
- Composite Functions
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² + 6x + 7
g(x) = x + 2
g(f(x)) is x = f(x)
<u>Step 2: Find g(f(x))</u>
- Substitute: g(f(x)) = (x² + 6x + 7) + 2
- Combine like terms: g(f(x)) = x² + 6x + 9
Answer:
a. Cosine is an even function
b. Sine is an odd function
c. cos(x) = sin(x + pi/2)
Step-by-step explanation:
See the plot attached.
a. In the figure it can be seen that, for example, cos(pi/2) = cos(-pi/2); therefore, cosine is even.
b. In the figure it can be seen that, for example, sin(pi/2) = 1; sin(-pi/2) = -1; therefore, sine is odd.
c. Function displacements along x-axis are made adding (or subtracting) values to x; i. e., f(x + a), where a is a constant, displace the function f(x) a steps to the left. It can be seen in the figure that sine is cosine but displaced pi/2 values to the right. So, sin(x + pi/2) will displace sine pi/2 values to the left, where cosine is placed.