Algebra Test
Which of the following is a foci of the conic section with the equation x^2 / 16 - y^2 / 4 = 1
(2√5, 0)
Find the distance between the points (-2, 4) and (4, -6).
2√(34)
Solve the following system. x 2 - y = 3 x - y = -3 The solution set
in this exact order {( -2, 1 , ) (3,6)}
Choose the correct graph to fit the inequality. y < 16x 2
it's an open U shape facing the top starting from 0 then you see the number 16,32, 48 and 64. the area surrounding the U is blue
A hyperbola with center at (0, 0), with x-intercepts at (4, 0) and (-4, 0), with b = 1, and opening horizontally has the equation
x^2 / 16 - y^2 / 1 = 1 the last option
Which of the following equations is of an ellipse with x-intercepts of (3, 0) and (-3, 0) and y-intercepts at (0, 1) and (0, -1)?
x^2 / 9 + y^2 /1 = 1 The last option
Which of the following is a foci of x^2 /9 + y^2 / 4 =1
(√5,0)
Choose the correct conic section to fit the equation. x=1/16y^2
Parabola
Choose the correct graph to fit the inequality. x ^2 - y ^2 < 9
hourglass shape going vertical and it's in between -4, -3 one on side and 3, 4 on the other
The volume of a box(V) varies directly with its length(l). If a box in the group has a length of 30 inches and k = 24, what is its volume?
720 cubic inches
Choose the correct conic section to fit the equation. x ^2+ y ^2 = 9
circle
Choose the correct conic section to fit the equation. x^2 / 9 + y^2/ 4 = 1
Ellipse
The equation of the circle whose center is at (4,4) and whose radius is 5 is
(x - 4)² + (y - 4)² = 25
Complete the following item based on the given information. The volume of a box(V) varies directly with its length(l). If a box in the group has a length of 30 inches, and the girth of 20 inches (perimeter of the side formed by the width and height), what is its height? Use k = 24. (Hint: Volume = length width height. Solve for length, and substitute into the equation for constant of proportionality.)
in this exact order. 6 inches or 4 inches
The directrix of y=1/8x^2 is
y = -2
Find the distance between the points (-2, 4) and (5, 4).
7
The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant of proportionality for the group of boxes?
24
The volume of a box(V) varies directly with its length(l). Using k for the constant of proportionality, express the relationship between V and l if V varies directly with l.
V = kl
Choose the correct conic section to fit the equation. 49x ^2 - 16y ^2 = 784
Hyperbola
Choose the correct conic section to fit the equation. x^2 / 16 + y^2 / 4 = 1
Hyperbola
Choose the correct conic section to fit the equation. xy = -16
Hyperbola
Choose the correct conic section to fit the equation. y= 1/8x^2
Parabola
Choose the correct conic section to fit the equation. (x - 3) ^2 + (y - 2) ^2 = 16
circle