Answer:
x = 58
Step-by-step explanation:
Angle = 1/2(difference of intercepted arcs)
51 = 1/2 ( 160 -x)
Multiply each side by 2
2*51 = 160-x
102 = 160-x
Subtract 160
102 -160 = -x
-58 = -x
58 =x
Answer:
Step-by-step explanation:
Answer:
5/11
Step-by-step explanation:
let x=0.4545...
100x=45.4545...
100x-x = 99x=45.4545... - 0.4545...=45
x=45/99=5/11
Answer:
1 , 3 , 13 , and 39
Step-by-step explanation:
1 x 39 =39
3 x 13 = 39
13 x 3 = 39
39 x 1 =39
By definition of absolute value, you have

or more simply,

On their own, each piece is differentiable over their respective domains, except at the point where they split off.
For <em>x</em> > -1, we have
(<em>x</em> + 1)<em>'</em> = 1
while for <em>x</em> < -1,
(-<em>x</em> - 1)<em>'</em> = -1
More concisely,

Note the strict inequalities in the definition of <em>f '(x)</em>.
In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:


All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.