Answer: x=13
Step-by-step explanation:
(x-5) + x = 21 given
2x-5=21 combined like terms
2x=26 addition property of equality
x=13 division property of equality
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.
<span>RS= 8y + 4, ST = 4y + 8, and RT = 36
RS + ST = RT
</span>8y + 4 + 4y + 8 = 36
12y + 12 = 36
12y = 24
y = 2
answer
y = 2 (first choice)
General form is ax^2 + bx + c = 0
so comparing the equation in the question to this we get:-
a = 1, b = -3 and c = -2 Answer
Answer:

Step-by-step explanation:
The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:
(4x)° = (x + 60)°
Use the equation to solve for the value of x

Subtract x from both sides


Divide both sides by 3

