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.
Answer:
Check below for the answers
Step-by-step explanation:
Note: The options are not clearly expressed but below are the correct expressions for the trigonometric identities stated in the options.
Using the SOHCAHTOA principle
sin θ = Opposite / Hypotenuse
tan θ = opposite / Adjacent
Cot θ = 1 / tan θ = Adjacent / Opposite
cos θ = Adjacent / Hypotenuse
The angle in the triangle = 60 degrees
so tan 60 = h / (1/2) s = 2h /s
sqrt3 = 2h / s
h = sqrt3 s / 2
B is the correct choice
Answer:
11.25
77.85
Step-by-step explanation:
1.6x + 3 = 21
use inverse operation (+ = -, x = ÷) by taking 3 to the opposite side and changing it's integer to negative
1.6x = 21 - 3
divide 2 sides by 1.6
1.6x = 18
1.6x/1.6 = 18/1.6
x = 11.25//
2.15(x-5)=75
inverse operation
x= 75 - 2.15 + 5
x= 77.85//
