Answer:
This is because to square a number just means to multiply it by itself. For example, (-2) squared is (-2)(-2) = 4. Note that this is positive because when you multiply two negative numbers you get a positive result.
Answer:

Step-by-step explanation:
Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:
For a:
For b:
For c calculate the square of a sum: 
(add like terms) c: 
For d: 

The sum of the given expression is 6b^2+8b-15
<h3>Sum of expression</h3>
Given the following expression
(6b^2+5)+(8b-20)
We are to take the sum. On expansion;
6b^2+5 + 8b-20
Collect the like terms
6b^2+8b +5 - 20
6b^2+8b-15
Hence the sum of the given expression is 6b^2+8b-15
Learn more on sum of expression here: brainly.com/question/723406
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The height of the chimney above the floor of the observation deck is 52.4 ft
Two right angle triangle will be formed.
<h3>Right angle triangle:</h3>
Right angle triangle are triangle that has one of its angle as 90 degrees.
Therefore, using trigonometric ratio,
adjacent side = distance of observer from the bottom edge of the Delaware River drawbridge observation deck
Therefore,
tan 40 = opposite / adjacent
Where
x = height of the observer to the top of the observation deck
tan 40 = x / 200
x = 200 tan 40
x = 167.819926235
x = 167.82 ft
tan 30 = opposite / adjacent
y = height of the observer to the bottom of the observation deck
tan 30 = y / 200
y = 200 tan 30
y = 115.470053838
y = 115.47 ft
The height of the chimney above the floor of the observation deck = height of the observer to the top of the observation deck - height of the observer to the bottom of the observation deck
The height of the chimney above the floor of the observation deck = 167.82 - 115.47 = 52.35 ft
learn more on trigonometric ratio here: brainly.com/question/23854119