Answer:
m = 1
Step-by-step explanation:
11m + 13 = m + 23
<u>Get m by itself by subtracting m from both sides. </u>
10m + 13 = 23
<u>Subtract 13 from both sides.</u>
10m = 10
<u>DIvide by 10.</u>
m = 1
f(x)= -x^2 + x^-1
f(-2)= - (-2)^2 + (-2)^-1 = -4 - 1/2 = -9/2
f(-1)= - (-1)^2 + (-1)^-1 = -1 -1 = -2
f(1) = - (1)^2 + (1)^-1 = -1 +1 = 0
The range is { -9/2, -2, 0}

So, Option B is correct.
Step-by-step explanation:
We need to solve the inequality: 
Solving:

The absolute rule says that if |u|<a and a>0, then -a<u<a
So, applying absolute rule:

We can write it as:

Combining the intervals:

So, Option B is correct.
Keywords: Solving inequalities
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Answer:

Step-by-step explanation:
Arc BC is the intercepted arc for the central angle COB, so its measure is the <u>same</u> as the central angle.
Angle 2 is an inscribed angle, so its measure is <u>half</u> the measure of the intercepted arc BC.
Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so
180 - 32 = 148 (sum of angles 3 and 4)
Each of angles 3 and 4 measure half that remaining 148 degrees.
Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.