Answer:
D. 45 degree counterclockwise rotation
Step-by-step explanation: :
The original image is triangle TUV and it has been rotated counter clockwise to form triangle T'U'V' using the origin as the center of rotation. . The rotation is 45 degrees rotation.
Hence, option B is correct.
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Answer:
(x-4)(3x+2)
Step-by-step explanation:
Answer:
x = -1 and x = 4
Step-by-step explanation:
Step 1: Get everything to one side of the equation so it's set equal to zero..
-x² + 4x = x - 4 becomes...
-x² + 3x + 4 = 0 (subtract x and add 4 to both sides)
x² - 3x - 4 = 0 (divide both sides by -1, we want the x² term to be positive)
(x - 4)(x + 1) = 0 (factor)
so
x - 4 = 0, then x = 4
and
x + 1 = 0, then x = -1
2csc^2x + 1 is the correct answer to simplify this expression