The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
We have a straight line:
Convert it to the general form given below:

or

(Slope of AB line)
For the slope(m') of the PQ line:
( because AB and PQ are perpendicular to each other)

We know the:

Where (x', y') = (7, 6), we get:


(multiply by -1/2 on both sides)
Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5
Learn more about the straight line.
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Answer:

Step-by-step explanation:
We are asked to find the tangent line approximation for
near
.
We will use linear approximation formula for a tangent line
of a function
at
to solve our given problem.

Let us find value of function at
as:

Now, we will find derivative of given function as:




Let us find derivative at 

Upon substituting our given values in linear approximation formula, we will get:


Therefore, our required tangent line for approximation would be
.
1) 2 * (10 * 7 + 7 * 1,25 + 10 * 1,25) = 2 * (70 + 8,75 + 12,5) = 2 * 91,25 = 182,5 square inches - a surface area
2) 182,5 * 0,012 = <span>$</span>2,19 - answer.
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Answer:
10.5 hours.
Step-by-step explanation:
Please consider the complete question.
Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 14 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Let t represent time taken by newer pump in hours to drain the pool on its own.
So part of pool drained by newer pump in one hour would be
.
We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be
.
Part of pool drained by both pumps working together in one hour would be
.
Now, we will equate the sum of part of pool emptied by both pumps with
and solve for t as:








Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.