Write the statement indicated.State the converse of the following:If the four sides of a rectangle are equal, then it is a square.
A. If the four sides of a rectangle are equal, then it is not a square.
B. If it is not a square then the four sides of the rectangle are not equal.
C. If the four sides of a rectangle are not equal, then it is not a square.
D. If it is a square, then the four sides of a rectangle are equal.
Answer: D
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Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.4x2 - 16y2 = 64
A. center at (0, 0)
transverse axis is x-axis
vertices: (-4, 0), (4, 0)
foci: (-2, 0), (2
, 0)
asymptotes of y = - x and y =
x
B. center at (0, 0)
transverse axis is x-axis
vertices: (-4, 0), (4, 0)
foci: (-2, 0), (2
, 0)
asymptotes of y = - x and y =
x
C. center at (0, 0)
transverse axis is x-axis
vertices: (-2, 0), (2, 0)
foci: (-2, 0), (2
, 0)
asymptotes of y = - x and y =
x
D. center at (0, 0)
transverse axis is x-axis
vertices: (0, -4), (0, 4)
foci: (0, -2), (0, 2
)
asymptotes of y = - x and y =
x
Write the standard form of the equation of the circle with radius r and center (h, k).r = ; (h, k) = (0, 1)
A. (x + 1)2 + y2 = 121 B. x2 + (y - 1)2 = 11 C. (x - 1)2 + y2 = 121 D. x2 + (y + 1)2 = 11
Use the slope and y-intercept to graph the linear function.G(x) = -3x
A.
B.
C.
D.
Find the slope of the line through the points and interpret the slope.
A. -2; for every 1-unit increase in x, y will decrease by 2 units
B. 2; for every 1-unit increase in x, y will increase by 2 units
C. ; for every 2-unit increase in x, y will increase by 1 unit
D. - ; for every 2-unit increase in x, y will decrease by 1 unit