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Question: (a) Draw a coordinate system in the plane. Show that points (3, 1) and (1, 3) are symmetric about the line y = x, and the same for (5, 3) and (3, 5).
(b) Use properties of congruent triangles to prove that points (a, b) and (b, a) in the plane are symmetric about the line y = x. What is the point half-way between these two points?
A runner wants to run 14.4 km. She knows that her running pace is 7.2 mi/h. How many minutes must she run? Hint: Use 7.2 mi/h as a conversion factor between distance and time. (If you could please show steps of how you got the answer) Thank you
Let's use the product and chain rule to find f'(x)= x*3(x-4)^2 + (x-4)3; factor out the common binomial to get f'(x)=[3x+x-4](x-4)2= [4x-4](x-4)2= 4[x-1](x-4)2; Now to f'' let's use the product and chain rule again. f''(x)=4[x-1]*2(x-4) + 4(x-4..
a regular hexagon is inscribed in a circle with a diameter of 6.4 centimeters. what is the apothem of the hexagon?
A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8.
A rental car agency rents 190 card per day at a rate of 27 dollars per day. For each one dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income?
What annual nominal rate of interest compounded monthly has the same annual percentage yield as 3% compounded continuously? (Give a formula with numbers plugged in, then use a calculator to get a decimal approximation to 2 decimal places.)
In order to understand the causal relationship in business process, manager often asks "whys" to drill down the root cause of failures. Select one (1) project from your working or educational environment and propose at least three (3) "why" questi..
What is the difference between capital budgeting decisions and capital structure decisions?
Does the equation Ax = b have a solution for each b in R4?
a bank quotes you an interest rate of 14 per annum with quarterly compounding. what is the equivalent rate with a
A motor boat takes 4 hours to travel 352 km going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Victor lives in the same flat state with perfectly straight roads as Jeff the trucker (this means there are no corners whatsoever!). Victor's school is exactly 10 miles east and 25 miles north of his house (Victor's)
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