Deck 13: Conic Sections

Question 1

Find an equation of the circle with the given center and radius.
Center (1

Answer 1

D

Question 2

Solve.

Answer 2

A

Question 3

Solve the system by the substitution method.

Answer 3

B

Question 4

Solve the system by the substitution method.

Question 5

Solve the system by the substitution method.

Question 6

Solve the system by the substitution method.

Question 7

Solve the system by the substitution method.

Question 8

Solve the system by the substitution method.

Question 9

Solve.

Question 10

Solve.

Question 11

Solve the system by the substitution method.

Question 12

Find an equation of the circle with the given center and radius.
Center (0, 0), radius 19

Question 13

Solve the system by the substitution method.

Question 14

Find an equation of the circle with the given center and radius.
Center (0, -10), radius 5

Question 15

Find an equation of the circle with the given center and radius.
Center (-4

Question 16

Solve.

A) 10 yd by 14 yd
B) 9 yd by 14 yd
C) 9 yd by 13 yd
D) 10 yd by 13 yd

Question 17

Solve.

Question 18

Solve.

A) 16 ft by 15 ft
B) 120 ft by 120 ft
C) 24 ft by 10 ft
D) 20 ft by 12 ft

Question 19

Solve.

Question 20

Solve.

Question 21

Solve the problem.
An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower.
The towers are both 4 inches tall and stand 40 inches apart. At some point along the road from the
Lowest point of the cable, the cable is 0.36 inches above the roadway. Find the distance between
That point and the base of the nearest tower.

A) 14.2 in.
B) 14 in.
C) 6.2 in.
D) 5.8 in.

Question 22

Graph the hyperbola. Give the coordinates of the center as well as the values of a and b.
A Ferris wheel has a diameter of 340 feet and the bottom of the Ferris wheel is 10 feet above the ground. How far to the left or right is a car that is 166 feet above the ground? Round to the nearest
Tenth if necessary.

Question 23

Find the distance between the pair of points. Round to the nearest tenth if necessary.

Question 24

Find the distance between the pair of points. Round to the nearest tenth if necessary.

Question 25

Graph the ellipse. Give the coordinates of the center, as well as the values of a and b.

Question 26

Find an equation of the circle with the given center and radius.

Question 27

Graph the hyperbola. Give the coordinates of the center as well as the values of a and b.
A Ferris wheel has a diameter of 320 feet and the bottom of the Ferris wheel is 11 feet above the ground. Find the equation of the wheel if the origin is placed on the ground directly below the
Center of the wheel, as illustrated.

Question 28

Find an equation of the circle with the given center and radius.
Center (0, -4), radius 15

Question 29

Find the distance between the pair of points. Round to the nearest tenth if necessary.

Question 30

Find an equation of the circle with the given center and radius.

Question 31

Graph the ellipse. Give the coordinates of the center, as well as the values of a and b.

Question 32

Find the midpoint of the line segment that connects the given points.

Question 33

Find the distance between the pair of points. Round to the nearest tenth if necessary.

Question 34

Find an equation of the circle with the given center and radius.

Question 35

Find an equation of the circle with the given center and radius.

Question 36

Find an equation of the circle with the given center and radius.

Question 37

Find the distance between the pair of points. Round to the nearest tenth if necessary.

Question 38

Solve the problem.
Arches in the shapes of parabolas are often used in construction. Find the equation of a parabolic arc that is 18 feet high at its highest point and 26 feet wide at the base, as illustrated in the figure.
Place the origin at the midpoint of the base.

Question 39

Solve the problem.
A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 154 feet and a maximum height of 30 feet. Find the height of the arch at 20 feet from its center.

A) 34.2 ft
B) 0.5 ft
C) 28 ft
D) 8.1 ft

Question 40

Find the distance between the pair of points. Round to the nearest tenth if necessary.

Question 41

Find the midpoint of the line segment that connects the given points.

Question 42

Find the midpoint of the line segment that connects the given points.

Question 43

Find the midpoint of the line segment that connects the given points.