Trigonometry
True or False:
The inside angles on a full right triangle add up to 190 degrees
What is
False (180)
The vertex of:
y = (x-2)2-5
What is
(2,-5)
What is the formula for the following statement
The sum of Joe's age and triple Mark's age is 64
What is
64=J+3m
Find the GCF:
0=5x+20xy+15y
What is
5
The formula for standard form
What is
ax2+bx+c=0
Solve the following:
Tan22
What is
0.40
Solve for the X values (Decimal)
X2-3x-2=4
What is
X1=-1.372
X2=4.372
The answer of the following equation using elimination:
3x+2y=19
5x-2y=5
What is
X=3
Y=5
Factor fully
7a(3b-2)+4-2b
What is
21ab-14a-2b+4
The formula for factored form
What is
Y=a(x-r)(x-s)
Find the value of θ
Sinθ=0.98
What is
78.52
State the translations in the following:
y=(x+3)2-8
What are:
Vertically translated 8 units down
Horizontally translated 3 units left
The answer of the following using substitution:
x+4y=6
2x-3y=1
What is
Y=1
X=2
True or False
The expanded form of (x+2)(x+5)(x+4) is x3+11x2+38x+40
What is
True
The formula for vertex form
What is
Y=a(x-h)2+k
From a point 10m from the base of a tower, Mark mesures the angle of elevation to the top of the tower from the top of his head which is 2m in the air. The angle of elevation is 48. degrees. Whats the hight of the tower.
11.11m tall
Solve using the quadratic formula
7x2+22x+10
what is
-36.28/14 (-2.59) or 7.72/14 (0.55)
Simplify then solve
4(x+4)-3(y-4)=70
5(x-7)-(y+5)=-11
what is
(-4.09,-49.45)
Convert into factored form
x2-7x+12
what is
(x-4)(x-3)
The quadratic formula
What is
x = −b ± √(b2 − 4ac) /2a
When do we use Sine Law?
What is
For non-right angle triangles that have 2 known angles and 1 corresponding side OR We have 2 side lengths and 1 corresponding angle
The max hight of the rocket launched upwards (m)
h=-4t2+250
What is
3906.25 m
A boat travels 33km downstream in 3 hours and made the returning trip in 5 hours find the speed of the boat in still water.
What is
8.8 km/h
Create an equation for the following scenario
A Farmer wants to find the area of his field using an equation, The field is 2y+2 m long and 2y-20 meters wide. The field has a power line pole that covers a square with equal side lengths of y+5. Whats a formula the farmer can use to find the area
What is
(2y+2)(2y-20) -(y+5)2=A
The cosine law formula
C2= a2+b2-2ab cosC