Answer:
1) Solutions are x = 3 and x = 5/3
2) Solution are x ≤ 13/2 and x ≤ -3/2
Step-by-step explanation:
1) Given absolute inequality,
|3x-7| = 2
⇒ 3x - 7 = ± 2
⇒ 3x = 7 ± 2



2) l 2x-5 l ≤ 8
⇒ 2x-5 ≤ ±8
⇒ 2x ≤ 5 ± 8



Answer:
120
Step-by-step explanation:
Slope = rise / run
1/20 = 6 / run
run = 120
9.015 that is the decimal form, 1803/200 is fraction form.
Answer:
2√137
Step-by-step explanation:
To find AB, we can use the Pythagorean Theorem (a² + b² = c²). In this case, a = 22, b = 8 and we're solving for c, therefore:
22² + 8² = c²
484 + 64 = c²
548 = c²
c = ± √548 = ± 2√137
c = -2√137 is an extraneous solution because the length of a side of a triangle cannot be negative, therefore, the answer is 2√137.
Answer: 
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:

You must observe the figure given in the exercise.
You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).
So, you can identify in the figure that:

Knowing these values, you can substitute them into
:

Now you must evaluate:

Finally, rounding to the nearest hundreth, you get:
