Find the equation for the given conic in the x'y'-coordinates when the coordinate axes are rotated through an angle ?.x2 + 2xy + y2 - 8x + 8y = 0; ? = 45°
A. 3x'2 - 4x'y' + y'2 = 0
B. 2x'2 - x'y' + 2y'2 = 0
C. x'2 = -4y'2
D. x'2 = -4y'
Answer: D
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Solve.The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 30 seconds with an average speed of 5 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.
A. 3 feet per second B. 5 feet per second C. 2 feet per second D. 4 feet per second
Perform the indicated operation. Simplify, if possible. +
A.
B.
C.
D.
A function and its graph are given. Use the graph to find, if it exists. Confirm your results analytically.
A. 0
B. 8
C. 7
D. 5
E. does not exist
Decide if the given number is a solution to the given equation. = 2; 6
A. No B. Yes