Complete the magic (addition) square. A magic square has the property that the sum of the numbers in any row, column, or diagonal is the same.Use each number 16, 17, 18, 19, 20, 21, 22, 23, and 24 once.
A.
B.
C.
D.
Answer: D
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Find the equation of the hyperbola satisfying the given conditions.Center at (0, 0); focus at (0, ); vertex at (0, 7)
A. -
= 1
B. -
= 1
C. -
= 1
D. -
= 1
Simplify the expression. Assume that all variables are positive when they appear.
A.
B.
C. 1
D.
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -
= 1
A. center at (-4, 2)
transverse axis is parallel to y-axis
vertices at (-4, -1) and (-4, 5)
foci at (-4, 2 - ) and (-4, 2 +
)
asymptotes of y + 2 = - (x - 4) and y + 2 =
(x - 4)
B. center at (-4, 2)
transverse axis is parallel to x-axis
vertices at (-7, 2) and (-1, 2)
foci at (-4 - , 2) and (-4 +
, 2)
asymptotes of y - 2 = - (x + 4) and y - 2 =
(x + 4)
C. center at (-4, 2)
transverse axis is parallel to x-axis
vertices at (-9, 2) and (1, 2)
foci at (-4 - , 2) and (-4 +
, 2)
asymptotes of y - 2 = - (x + 4) and y - 2 =
(x + 4)
D. center at (2, -4)
transverse axis is parallel to x-axis
vertices at (-1, -4) and (5, -4)
foci at (2 - , -4) and (2 +
, -4)
asymptotes of y + 4 = - (x - 2) and y + 4 =
(x - 2)
Graph the equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places, if necessary. Use the TABLE feature to help establish the viewing window.y = -4x + 15
A. (0, 15), (-3.75, 0) B. (0, 15), (3.75, 0) C. (0, 3.75), (15, 0) D. (0, -3.75), (15, 0)