Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.17x2 - 12xy + 8y2 - 68x + 24y -12 = 0
A. ? = 63.4°
+ 
= 1
ellipse
center at (
, - 
)
major axis is x'-axis
vertices at (4 + 
, - 
) and (-4 + 
, - 
)
B. ? = 26.6°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
C. ? = 63.4°
x'2 = -16y'
parabola
vertex at (0, 0)
focus at (0, -4)
D. ? = 63.4°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±4, 0)
Answer: A
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Graph the parabola.x2 = 3y
A. 
B. 
C. 
D. 
Find the length of base in an isosceles triangle with perimeter 25 inches and length of leg8 inches.
What will be an ideal response?
New telephone lines must be installed to connect 8 cities (A, B, C, D, E, F, G, and H). Due to government regulations, the only possible connections that are allowed are shown by the edges on the network below. The numbers on the edges indicate the cost (in millions of dollars) of each possible connection. The telephone company wishes to connect the cities in the cheapest possible way.
In an optimal solution to this problem there will not be a direct connection between
A. B and C. B. E and G. C. C and D. D. B and D. E. all of these will be directly connected.
Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.The manager of a coffee shop has one type of coffee that sells for $7 per pound and another type that sells for $15 per pound. The manager wishes to mix 60 pounds of the $15 coffee to get a mixture that will sell for $9 per pound. How many pounds of the $7 coffee should be used?
A. 240 pounds B. 120 pounds C. 180 pounds D. 90 pounds