Answer:
=(x-2)/3(x+4)
Step-by-step explanation:
F(x)=x²-3x+2/3x²+9x-12
Using mid term break formula
=x²-2x-x+2/3(x²+3x-4)
=x(x-2)-1(x-2)/3(x²+4x-x-4)
=(x-2)(x-1)/3{x(x+4)-1(x+4)}
=(x-2)(x-1)/3(x-1)(x+4)
Cancelling (x-1)
We get
=(x-2)/3(x+4)
Hope it helps :)
Answer:
The equation of parabola is given by : 
Step-by-step explanation:
Given that vertex and focus of parabola are
Vertex: (4,-3)
Focus:(
,-3)
The general equation of parabola is given by.
, When x-componet of focus and Vertex is same
, When y-componet of focus and Vertex is same
where Vertex: (h,k)
and p is distance between vertex and focus
The distance between two points is given by :
L=
For value of p:
p=
p=
p=
p=
and p=
Since, Focus is left side of the vertex,
p=
is required value
Replacing value in general equation of parabola,
Vertex: (h,k)=(4,-3)
p=



I think the correct one is C. 130
Answer:



Step-by-step explanation:
Given 
(A) 
We know that Sin(A + B) = SinA cosB + cosAsinB
Substituting in the above formula we get:


(B) Cos(A + B) = CosAcosB - SinASinB




(C) Tan(A + B) = 
From the above obtained values this can be calculated and the value is
.
Answer: p = 30 q = 30 (if not touching edge of hexagon but if it is touching edge one of the pairs) then p or q = 120 and p and q = 30
Step 1) Sum of an interior angle of a polygon = 720 degree where n = 6 as 6 exterior sides = (n-2) * 180 = (6-2) * 180 = 4 * 180 = 720 degree Where the measure of each angle of a hexagon = 720/ 6 = 120 degree Step 2) Then show 3 angle letter names = 180 degree Step 3) Angle name letters + 2 angle (other two names letters inside within triangle) add up to 180 degree Step 3) State since triangle name (of all letters within one triangle) is Isosceles Step 4) <u>Triangle (state same triangle letters with number 2 in front) = 180 - 120 = 60 then state triangle (letter name) / 2 = 30 degrees </u>obviously the 120 and 60 differentiates if not a hexagon to a pentagon if not a hexagon = (3 *180) / 5 = 108 then due to isosceles (180 - 108)/ 2 = 72/2 = 36 degree for a p<u>entagon </u>or 30 degree each for p + q for a <u>hexagon</u> etc