Find the center of the ellipse. 4(x - 1)2  + 25(y - 5)2 = 100

A. (5, 1)
B. (1, 5)
C. (-1, -5)
D. (4, 25)


Answer: B

Mathematics

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Write the inequality using interval notation, and illustrate the inequality using the real number line.-1 ? x ? 2

A. [-1, 2]

B. (-1, 2)

C. (-1, 2]

D. [-1, 2]

Mathematics

Solve the system of equations using substitution.

A. x = -3, y = -2; x = -2, y = -3 or (-3, -2), (-2, -3) B. x = 3, y = -2; x = 2, y = -3 or (3, -2), (2, -3) C. x = -3, y = 2; x = -2, y = 3 or (-3, 2), (-2, 3) D. x = 3, y = 2; x = 2, y = 3  or (3, 2), (2, 3)

Mathematics

Sketch the graph of the equation. Identify the vertex and the intercepts.y = -4x2 + 40x - 101

A. Opens: Up;
Vertex: (5, -1)
x-intercepts: none
y-intercept: (0, -101)
 
B. Opens: Up;
Vertex (-5, -1)
x-intercepts: none
y-intercept 

C. Opens: Up;
Vertex (5, -1)
x-intercepts: none
y-intercept: 
 
D. Opens: Up;
Vertex (-5, -1)
x-intercepts: none
y-intercept (0, -101)
 

Mathematics

Identify the solid.

A. cone B. sphere C. pyramid D. cylinder

Mathematics