7 .4 Worksheet
Deco
mpose the fo l lowing f rac t ions:
1.
7x 2
x( x 1)
2.
7x 9
x 3 x 1
3.
11x 25
x2 9x 8
4.
3x 7
x2 1
5.
2 x 2 15 x 25
x2 5x
6.
3x3 3x 2
x2 x 2
7.
6 x 2 9 x 15
x x 5 x 1
8.
6 x2 x 1
x3 x
9.
8x2 x 3
x3 x
10 .
9 x 2 13x 15
x3 2 x 2 3x
11 .
Categories of Triangles
SSS 3 sides known
Law of Sines to find second angle
Law of Cosines to find largest angle
Property of Angles of a Triangle to find third
angle
SAS 2 sides and 1 included angle known
Law of Cosines to find the third side
Law of Sines
5-1: Trig. Ratios in Right Triangles
Right Triangle:
Angle of depression (DRAW)
Angle of elevation (DRAW)
EX 1:
A
8
a) Give exact values for sin A, cos A, tan A.
b) Find measure of angle A (sin-1).
17
B
15
(CALC. IN DEGREE MODE!)
C
Degrees, Minutes, Secon
1. In 1900, the population of the Town Z was recorded as to be 4,302. In 1910, the population
grew to be 9,459. (Let x = number of years after 1900 and y = population.)
a. What are the coordinates of the two points of data described above?
( _,_) (_,_)
b.
3/12/2012
I. Themethodofsubstitution
A. Example1:determineallsolutionsforthe
x y = 1
followingsystem
3 x + 2 y = 7
First,solvethefirstequationforx.
x y =1
7.1:SolvingSystemsofTwo
Equations
q
x = y +1
Next,substitute(y+1)forx inthesecondequationand
(y )
q
Extra Problems:
Section 7.2
Name _
1. For the matrices given, find: A + B, A B, 3A and 2A 3B.
2 3
a. A =
,B=
1 5
3 1
b. A = 0 1 , B =
2 1
1 3
2 4
4 0
2 1
3 1
2. Given matrices A and B, find AB, BA or state whether the product is undefined.
2