Write the equation in terms of a rotated x'y'-system using ?, the angle of rotation. Write the equation involving x' and y' in standard form.x2 + 2xy + y2 - 8x + 8y = 0; ? = 45°
A. 3x'2 - 4
x'y' + y'2 = 0
B. 2x'2 - 
x'y' + 2y'2 = 0
C. x'2 = -4
y'2
D. x'2 = -4
y'
Answer: D
Mathematics
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Following the rules for working with measurements find the lateral surface area, AL, of the rectangular prism shown in the illustration below and the total surface area of the prism AT.
?
?
A. A L = 256 m 2, A T = 512 m 2 B. A L = 256 m 2, A T = 384 m 2 C. A L = 388 m 2, A T = 256 m 2 D. A L = 388 m 2, A T = 256 m 2 E. A L = 384 m 2, A T = 256 m 2
Mathematics
Find the limit.
A. 0
B. 
C. 
D. 2
Mathematics
Perform the indicated operation.(3x2 + 7x - 1) - (-5x2 + 9x + 2) + (-2x2 - 3x - 5)
A. 6x2 - 5x - 8 B. -4x2 + 5x - 8 C. -4x2 - 5x + 8 D. 6x2 + 13x + 4
Mathematics
Find the sum of the series.
A. 14 B. 40 C. 54 D. 34
Mathematics