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2 answers:
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Answer:
a. True
b. True
c. False
d. False
Step-by-step explanation:
<u>First Table</u>
Length=10 feet, Width=4 feet
Area =10 X 4=40 Square Feet
<u>Second Table</u>
The second table is half as long as the first table.
Length =0.5 X 10 =5 feet
Area=5 X Width= 5w
The area of the second table is one fourth the area of the first table.
Area of Second Table = X Area of first table
5w= X 40
5w=10
Width of the Second table, w=2 feet
The following are true.
(a)The width of the second table is 2 feet.
(b) The area of the second table is 10 square feet.
The interval notation is
Explanation:
The inequality is
Let us complete the square, we get,
Simplifying, we have,
Adding both sides of the equation by 11, we get,
Since, we know that for , if n is even then
Thus, writing the above expression in this form, we get,
Also, if then
and
Then ,we have,
and
Solving the inequalities, we get,
and
Merging the intervals, we have,
Hence, writing the solution in interval notation, we have,
Therefore, the answer is