Luis evaluated the expression \large 3^5+6^3, but he made a mistake. His work is shown below:
1 answer:
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Answer:
1) Please see the required graph created with Microsoft Excel
2) No
Step-by-step explanation:
The given parameters are;
From the given equation, we have;
When x > 4, or x -2 <, y < 0, which gives;
y > 0 for -2 < x < 4
Therefore, the graph is opened in the downward direction with the peak at the point with coordinate (1, 3)
The legs of the graphs are straight lines with slopes = -1, and 1 respectively, before and after the maximum point of the graph
The table of values used to sketch the graph with Microsoft Excel is given as follows;
x y
-3 -1
-2 0
-1 1
0 2
1 3
2 2
3 1
4 0
5 -1
<h3>Answer: True</h3>
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Explanation:
If you have exactly one right angle, then it is possible to have no parallel lines. See the diagram below. Refer to the upper figure.
If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.
If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.
It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.