Degrees = (Radians * 180)/pi
Plug in what we know:
Degrees = ((2 * pi)/3 * 180)/pi
Degrees = (2.0943951 * 180)/pi
Degrees = 376.991118/pi
Degrees = 120
The answer is B. slope 0 intercept -5
Answer:
c. 25
Step-by-step explanation:
BOTH SIDES HAVE X SO YOU PUT THEM IN A 1 EQUATION WAY AND SOLVE X:
4X+1=2X+23
4X-2X=23-1
2X=32
X= 32/2=11
THEN YOU GO TO THE BASE AND CHANGE X AND SOLVE THE EQUATION WITH X=11
3x11-8
33-8= 25=BASE
Think back to the definition of absolute value:
• If <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.
• If <em>x</em> < 0, then |<em>x</em>| = -<em>x</em>.
In other words, the absolute value always returns a positive number. So if <em>x</em> is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.
This means that you cannot simply reduce |<em>x</em> - <em>y </em>| to <em>x</em> - <em>y</em> because you need to consider the possibility that <em>x</em> - <em>y</em> may be negative, in which case |<em>x</em> - <em>y</em> | would reduce to -(<em>x</em> - <em>y</em>) = <em>y</em> - <em>x</em>.
In this case,
|4√2 - 6| = -(4√2 - 6) = 6 - 4√2
because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:
4√2 = √16 √2 = √32
6 = √36
and √32 < √36 because 32 < 36.
Similarly,
|2√10 - 6| = 2√10 - 6
because
2√10 = √4 √10 = √40
6 = √36
So ultimately,
|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2