w < 0 ∪ 9 < w
<h3>Step-by-step explanation:</h3>You can multiply by w to eliminate the fractions. This gives rise to two cases, one for w > 0, and one for w < 0.
For w > 0
In this case, the multiplier is positive, so the sense of the inequality remains unchanged. The inequality becomes ...
... 2 +3w > 29
... 3w > 27 . . . . subtract 2
... w > 9 . . . . . . divide by 3 (again, a positive number)
For w < 0
Multiplying an inequality by a negative number reverses the sense of the comparison. This gives us ...
... 2 +3w < 29
... 3w < 27 . . . . . . subtract 2
... w < 9 . . . . . . . . divide by 3 (a positive number)
The solution to this inequality is the intersection of this condition with the condition that w < 0. That will be ...
... w < 0
Solution
So, the solution to the given inequality is ...
... w < 0 ∪ 9 < w
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<em>Comment on the graph</em>
We have rewritten the inequality to the form ...
... 2/w +3 -29/w > 0 . . . . . . subtract the right side
The graphing calculator has plotted the curve represented by the left side of this inequality. The blue highlighting shows where that is greater than zero.
Answer:
x = 27
Step-by-step explanation:
This angle is a right angle, meaning 90 degrees, as whenever it's a right angle, there's a small square on the angle which u can see at the bottom left, so:
x + 8 + 2x = 90
3x + 8 = 90
subtract 8 from both sides
3x = 82
divide by 3
x = 27 1/3
Answer:
18 square centimeters
Step-by-step explanation:
Notice that if e is the midpoint of the side CB, and angle , then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18