How to end behavior
1 answer:
You might be interested in
Answer:
Part 1) False
Part 2) False
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
where
(h,k) is the center and r is the radius
In this problem the distance between the center and a point on the circle is equal to the radius
The formula to calculate the distance between two points is equal to
Part 1) given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle.
true or false
substitute the center of the circle in the equation in standard form
Find the distance (radius) between the center (-3,4) and (-6,2)
substitute in the formula of distance
The equation of the circle is equal to
Verify if the point (10,4) is on the circle
we know that
If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle
For x=10,y=4
substitute
-----> is not true
therefore
The point is not on the circle
The statement is false
Part 2) given the center of the circle (1,3) and a point on the circle (2,6), (11,5) is on the circle.
true or false
substitute the center of the circle in the equation in standard form
Find the distance (radius) between the center (1,3) and (2,6)
substitute in the formula of distance
The equation of the circle is equal to
Verify if the point (11,5) is on the circle
we know that
If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle
For x=11,y=5
substitute
-----> is not true
therefore
The point is not on the circle
The statement is false
I find it convenient to look at the differences and the rate at which those differences are made up.
8. Jim is closing the $150 gap at the rate of $7.50 per week. He will catch up in
... 150/(7.5/week) = 20 weeks
9. At noon, the price of Stock A has increased by 0.05×3 = 0.15, so is now $15.90, which is $0.63 more than Stock B at that time. The prices are closing the gap at the rate of $0.05 +0.13 = $0.18 per hour, so will be the same after
... $0.63/($0.18/hour) = 3.5 hours . . . . after noon, at 3:30 pm
_____
You can also write and solve equations for the prices of the stocks. Or you can use a graphing calculator to tell you the solution. When equations are involved, I like to solve them the simplest possible way: let technology do it.
You are given the value at a time, and the rate of change of that value, so the equations are easily written in point-slope form. You will note that the common price at 3:30 pm (15.5 hours after midnight) is one that is not a whole number of cents. (That's usually OK for when trading stocks.)
