Find the equation of the parabola with the given properties.Vertex: (-1, 4); horizontal axis of symmetry; containing the point (11, 2)

A. (x - 4) =(y + 1)2
B. (y - 4) =(x + 1)2
C. (x + 1) =(y - 4)2
D. (y + 4) =(x - 1)2


Answer: C

Mathematics

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If R1 = 47 ê, R2 = 53 ê, and R3 = 90 ê, then IT = 30 mA. Find I3.



a. 6.50 mA
b. 11.04 mA
c. 12.45 mA
d. 9.48 mA
e. 3.08 mA

Mathematics

Provide an appropriate response.Fill in the blanks to complete the statement. The graph of P(x) = -0.4(x - 7)2 is a parabola with  x-intercept(s). Its vertex is the  point of the graph and has coordinates .

A. two; maximum (or highest); (7, 0) B. one; maximum (or highest); (7, 0) C. one; minimum (or lowest); (7, 0) D. no; maximum (or highest); (-0.4, 7)

Mathematics

If an island's only residents are penguins and bears, and if there are 17 heads and 38 feet on the island, how many penguins and how many bears are on the island? ?   The number of bears is __________. ?   The number of penguins is __________. ?

What will be an ideal response?

Mathematics

Obtain an equivalent system by performing the stated elementary operation on the system.Multiply the second equation by -1.  x - 5y + z = 35x - 2y - z = -18 3x + y + 2z = -18  x - 5y + z = -15

A. -x + 5y - z = -3 5x - 2y - z = -18  3x + y + 2z = -18   x - 5y + z = -15 B. x - 5y + z = 3 -5x + 2y + z = -18    3x + y + 2z = -18   x - 5y + z = -15 C. x - 5y + z = 3 -5x + 2y + z = 18   3x + y + 2z = -18   x - 5y + z = -15 D. x - 5y + z = 3 -5x - 2y - z = -18    3x + y + 2z = -18   x - 5y + z = -15

Mathematics