Answer:
(a)
if 
then 
and if x<0 then 
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
Step-by-step explanation:
Remember how we define the absolute value of a number.
(a)
In general
Therefore if 
you have two cases, if then and if x<0 then
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
8.902
^this place it the hundreths so if you know how to round it is 8.9 or 8.900
Answer:
x=17
Step-by-step explanation:
Since these angles are supplementary, they will add up to 180 degrees, so you can set up the equation like this:
4x+8+104=180
First, combine like terms:
4x+(8+104)=180
4x+112=180
Next, subtract 112 from both sides:
4x+112(-112)=180(-112)
4x=68
Then, divide each side by 4:
4x(/4)=68(/4)
x=17
17 is your answer.
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a cone is given by:
volume = (1/3) * π * radius² * height
The cone that has a height of 6 inches and a radius of 3 inches. Hence:
Volume = (1/3) * π * 3² * 6 = 56.55 in³
For 12 hats:
Volume = 12 * 56.55 in³ = 678.58 in³
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
Find out more on volume at: brainly.com/question/12410983
2x +6x = 8x
6-1 = 5
8x+5 is the answer
