Answer:
−1(5−2)(5+2)
Step-by-step explanation:
Eliminate redundant parentheses
(−11²+6)−1(14² +2)
Distribute
−11² + 6 -- 1(14² +2)
−11² + 6 - 14² − 2
The total cost of the mirror would be $24 because 6 times 4 equals 24.
Given that and , we can say the following:
Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).
Thus, let's set what is under both square roots to be greater than 0:
Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.
Now, let's look back at the function entirely, which is:
Since is on the bottom of the fraction, we must say that , since the denominator can't equal 0. Thus, we must exclude from the domain.
Thus, our answer is Choice C, or .
<em>If you are wondering why the choices begin with the symbol, it is because this is a way of representing that lies within a particular set.</em>
Answer: 12
Step-by-step explanation:
Solve for c
*see attachment for the missing figure
Answer:
Angle ADE = 45°
Angle DAE = 30°
Angle DEA = 105°
Step-by-step explanation:
Since lines AD and BC are parallel, therefore:
Given that angle Angle CBE = 45°,
Angle ADE = Angle CBE (alternate interior angles are congruent)
Angle ADE = 45° (Substitution)
Angle DAE = Angle ACB (Alternate Interior Angles are congruent)
Angle ACB = 180 - 150 (angles on a straight line theorem)
Angle ACB = 30°
Since angle DAE = angle ACB, therefore:
Angle DAE = 30°
Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)
Angle DEA = 180 - (45 + 30) (Substitution)
Angle DEA = 180 - 75
Angle DEA = 105°