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# Mathematics - Algebra

Question #41 / 50
Solve for .......
where is a real number.
(If there is more than one solution, separate them with commas.)

Question #42 / 50
Solve the following equation.......

Question #43 / 50
For the following right triangle, find.......

Question #44 / 50
Compute the following.......

Question #45 / 50
Write the following expression

Question #46 / 50
Find the roots of the......
(If there is more than one root, separate them with commas.)

Question #47 / 50
Solve the equation........
(If there is more than one solution, separate them with commas.)

Question #48 / 50
Solve where.......
(If there is more than one solution, separate them with commas.)

Question #49 / 50
Solve the following equation.......
(If there is more than one solution, separate them with commas.)

Question #50 / 50
Graph the parabola......
To graph the parabola, plot the vertex and four additional points, two on each side of the vertex
I need all of the points you do not need to graph.

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#### Solution Preview

The solution file is attached.

Question #41 / 50
Solve for :
,
where is a real number.
(If there is more than one solution, separate them with commas.)

Ö(w - 12) = 4
Squaring on both sides, we get w - 12 = 4^2 = 16 Þ w = 16 + 12 = 28

Question #42 / 50
Solve the following equation for :
,
where is a real number.
(If there is more than one solution, separate them with commas.)

Ö(w + 6) = Ö(5w + 5)
Squaring on both sides, we get w + 6 = 5w + 5
w + 6 = 5w + 5
w - 5w = 5 - 6
-4w = -1 Þ w = 1/4

Question #43 / 50
For the following right triangle, find the side length . Round your answer to the nearest tenth.

10

x

...

#### Solution Summary

The expert examines algebraic expressions in mathematics. Complete, Neat and Step-by-step Solutions are provided in the attached file.

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