Begin by drawing a rough sketch to determine the number of real solutions for the equation y1 = y2. Then use an analytic method to confirm your answer. Give the solution set and any extraneous values that may occur.y1 =
y2 = 3
A.
Two real solutions; ; no extraneous values
B.
No real solutions; ?; no extraneous values
C.
One real solution; ;
is extraneous.
D.
One real solution; {9}; no extraneous values
Answer: D
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Add or subtract as indicated.(7x2 - xy - y2) + (x2 + 3xy + 6y2)
A. 6x2 - 4xy - 7y2 B. 8x2 + 2xy + 5y2 C. 7x2 + 3xy + 6y2 D. 8x2 + 4xy + 7y2
Find the vertex, focus, and directrix of the parabola. Graph the parabola.y2 = -16x
A. vertex: (0, 0)
focus: (-4, 0)
directrix: x = 4
B. vertex: (0, 0)
focus: (4, 0)
directrix: x = -4
C. vertex: (0, 0)
focus: (0, -4)
directrix: y = 4
D. vertex: (0, 0)
focus: (0, -4)
directrix: y = 4
Solve the problem.An aircraft going from Atlanta to Savannah on a heading of 121° (from north) is travelling at a speed of 460 miles per hour. The wind is out of the north at a speed of 19 miles per hour. Find the actual speed and direction of the aircraft, rounded to the nearest whole number.
A. 470 miles per hour; 123° from north B. 644 miles per hour; 122° from north C. 455 miles per hour; 123° from north D. 451 miles per hour; 123° from north
Solve.A stone is a unit in the British customary system. Paul weighs 77.3 kilograms. Convert this weight to stones and pounds. Round to the nearest pound. Use this conversion:
A. 5 stone 2 lb B. 17 stone 0 lb C. 12 stone 2 lb D. 2 stone 1 lb