December 14th

11. A football that is kicked for a field goal flies in a path described by the equation y = 4x/ 3 - x with interger 2/ 90.

The ball is kicked from the 35 yard line. In this equation, the height of the ball is y, and x is the horizontal distance (in feet) from the kicker. Round all answers to the nearest foot.

a) What is the maximum height of the football?
b) How far (horizontally) will the ball fly before it hits the ground?
c) Will the ball clear the crossbar? The crossbar is 10 feet above the playing surface.
d) How far will the ball be above/ below the crossbar?

By: Theron Matthews

December 10th

10. A ball is thrown vertically (with a pitching machine) at an initial speed of 100 miles per hour (that is about 160 km/h) The high, H, of the ball at any time, t, is given by the function\

h=147 -16t^2 , where the height is measured in feet and the time in seconds

a) Find the maximum height that the ball will fly.

b)When does the ball reach the maximum height?

c)When does the ball hit the ground?

d)What is the height of the ball one second after being thrown?

Vertex - The lowest(or highest) point of a parabola

Axis of Symmetry - The graph of a quadratic function is symmetric with respect to a vertical line containing the vertex. This line is called the axis of symmetry.

Parabola - The graph of a quadratic function f(x) = ax+ bx + c is called a parabola

If a > 0, the parabola opens upward; if a is less that 0, the parabola opens downward.

Domain - The x values

Range - The y values

Quadratic Formulas

Linear Programming Nov 22th

 start memorising: greater then, less then, have a non filled in circle; greater to or equal to, less then or equal to, have a filled in circle.

IMPORTANT
 - x or a divide sign by a negative in an inequality switch the inequality symbol direction

instruction for today
*TEST the origin!
( 0,0) owl:)

using your calculator
-start with storing Y and X in your calculator using the STO button right above the on button,
 then ALPHA X, Y to store,
- you type your equation in y is greater to less then (1/2) X+2, enter


Assignment is pending doesn't know when it will be due, but just keep it safe for when he asks for it!
PS: it would be best advised to have graphing paper and a graphing calculator

-Carissa S

November 23

Today in math we learnt how to solve linear programming problems. What we did today kind of had to do with what we learnt in yesterdays class.

November 16th

Today we widened our Mathematical horizons by reviewing, and applying the law of sine in such a way that myself including my fellow classmates can work with during this semester and possibly in future scenerios, such as a working environment. It is fair to state that the law of sine will appear in the near future on a test or any type of other curriculum during the duration of this course, thus knowing and embracing this specific subject will prove to be very "worth your while".

November 17th

Law Of Cosines: Cosine Law

When to Use it?

The above chart shows how to use cosin

e law to solv

e for

different things: (IE) the box on the top left side formula solves for a(side), the one below it for b(side) and the one below that for c(side). Across the table is the corresponding formulas for angles A, B, and C.

Scenario 1 (of 2) triangle shows that a (side) = 13, c (side) = 20) and B (angle) = 103(degrees) and are looking to find b (side).

Scenario 2 (of 2) shows finding the angle A

Similar triangles – they have the same shapes but different lengths(or distances)

Summary : Use the law of cosines if you have Two Sides and the Included Angle, OR All Three Sides.

"The inverse cosine of the cosine is the angle itself."