Determine the equation of the given line, as well as the slope of the line. If the slope is undefined, state this.

A. x = -4, m: undefined
B. y = x - 4, m = 0
C. y = -4, m: undefined
D. y = x - 8, m = 1


Answer: A

Mathematics

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Find the intervals on which the function is continuous.y = 

A. (-?, 2), (2, 6), (6, ?) B. (-?, -6), (-6, 2), (2, ?) C. (-?, -2), (-2, 6), (6, ?) D. (-?, 2), (2, ?)

Mathematics

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.xy +16 = 0; ? = 45°

A.  +  = 1
B.  +  = 1
C. y'2 = -32x'
D.  -  = 1

Mathematics

Write a system of linear equations in three variables, and then use matrices to solve the system.A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A tree takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the workshop has 117 hours for prep time, 85 hours for painting, and 118 hours for firing, how many of each can be made?

A. 7 wreaths; 5 trees; 4 sleighs B. 8 wreaths; 6 trees; 5 sleighs C. 5 wreaths; 4 trees; 7 sleighs D. 4 wreaths; 7 trees; 5 sleighs

Mathematics

Find the indicated matrix.Let A =  and B = . Find A - B.

A.
B.
C.
D. [-3]

Mathematics