Answer:
$64
Step-by-step explanation:
Add the 2 numbers
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We can say that the hotel is 8 Times taller Than the boy.
The solution is x = 1 and x = -3
<em><u>Solution:</u></em>
Given that we have to solve the given equation by factoring
Given equation is:


Find a pair of integers whose product is c and and whose sum is b

Now find, a pair of integers whose sum is -2 and product is -3
The integers that satisfies this condition is -1 and 3
When we add - 1 and 3 we get 2
When multiply -1 and 3 we get -3
Thus the pair of integers are -1 and 3
Write the factored form using these integers.

The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0
Set the factors equal to 0

x = 1 and x = -3
Thus the solution is x = 1 and x = -3
Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:
a-) -√2 / 2.
<h3>What is implicit differentiation?</h3>
Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.
In this problem, the function is:
xcos(y) = 2.
The derivative is relative to t, applying the product rule, as follows:


Since dx/dt=−2, we have that:

When y = π/4, x is given by:
xcos(y) = 2.

Hence:


Since cot(pi/4) = 1, we have that:

Which means that option a is correct.
More can be learned about implicit differentiation at brainly.com/question/25608353
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