The subtraction theorem states that for all real numbers,

and

,

.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.
Answer:
x = 11√2
Step-by-step explanation:
We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):
x * √2 = 22
We can divide by √2 on both sides to get:
x = 22 / √2
To rationalize the denominator, we multiply by √2 / √2 on the right side:
x = 22√2 / 2
This simplifies to:
x = 11√2
Answer:
5.525
Step-by-step explanation:
1. (7x^(2))/(2x + 6) -:(3x - 5) / (x + 3) Solve Bold
(7x^(2)) / (2x + 6) -:(3x - 5) / (x + 3)
2. 49x / 8x - (-2x) / 3x Solve Bold
49x/8x-(-2x)/3x
3. 6.125 - .6 Solve Bold
Answer: 5.525
12.

13.

16.

is already in simplest form.
Answer:
C
Step-by-step explanation:
4*5=20 include c, and 4*-2=-8 include d