Words
modeling & density
Equations of a circle
100
define a Square
A quadrilateral with 4 equal sides and 4 right angles.
Opposite sides are parallel.
100
what does mass /volume equal
(also population/area)
what is destiny
100
Write the equation of a circle:
center: (3,-2) radius: 11
(x - 3)2 + (y + 2)2 = 121
200
The line that divides two matching parts. It can be vertical, horizontal, or diagonal.
Line of Symmetry
200
find how many people per square mile
population: 10,293
area: 56 mi2
10,293/56mi2 = 183 people/mi2
200
Write an equation that would best represent the circle.
(x - 5)2 + (y - 6)2 = 9
300
Noncollinear points
points that do not lie on the same line
300
find the density
mass: 34,290
volume:275
34,290/275
the density is 124.7
300
Given circle: x2 - 9x + y2 = 4.75
In center-radius form, write the equation
(x - 4.5)2 + y2 = 25
400
arc whose measure is greater than a semi-circle or 180 degrees
Major arc
400
Casandra finds a treasure chest packed with metallic coins. The chest has a volume of 0.25 m3. The coins have a combined mass of 4,825 kg. Find the density of the coins.
4,825kg/0.25m3= 19,300 kg/m3
400
find the center and the radius:
x2 + y2 + 2x - 4y - 11 = 0
Center: (-1,2) Radius: 4
500
noncoplanar lines they will not intersect
Skew lines
500
Densities of Metal, a world-famous rock band, put on a show at an arena in Rome last night. The rectangular floor of the arena had an area of 32,000 m2 and was packed shoulder to shoulder with fans. They estimate that, on average, each person takes up a circular space with a diameter of 0.8 m.
Estimate the amount of people at Densities of Metal's rock show.
About 50,000 people
500
What is the formula (x – h)2 + (y – k)2 = r2
Equation of a circle