Remark
Not many per square mile. Sounds like an ideal place to live.
Step One
Find the number of Square Miles.
Area = Height * Width
Area = 380 * 200
Area = 76,000 square miles.
Step Two
Find the Density
<u>Formula</u>
Density = Population / Square Miles
Population = 814,000 people
Square miles = 76000
Solve
Density = 814000/76000 = 10.7 people per square mile.
Remark
Isn't that incredible. It means if all the Area of South Dakota were given to the people living there, each family of 4 would get roughly 1/2 a square mile.
(a) The equation of the tangent line can be written as
.. 3(x +6) -4(y -8) = 0
.. 3x -4y = -50
.. y = (3/4)x +25/2 . . . the equation of the tangent line
(b) The point of tangency will be the intersection of the circle with the perpendicular line through the circle center, y = (-1/5)x. A graphing calculator shows that point to be
.. (9.81, -1.96)
X = 20
First, you move the 40 to the other side.
-2x=-40
Then, you divided -40 by -2.
x= -40/-2
x= 20
x is 20 because the negatives cancel out making it positive.
Since absolute value is just taking the positive value of whatever you put in the function, it is 7.8 as well. Also, absolute value can be described as the distance from 0 on the number line. 7.8 is 7.8 "units" away from 0, thus meaning it is equal to 7.8.
To use arithmetic to solve ot