-mn^2-5m^2/(5m-2)(m+4n)
if I did it correctly
Answer:
See attached pictures.
Step-by-step explanation:
The sine and cosine functions have the forms:
and
. A is the amplitude for each function. The period is found by dividing 2π the absolute value of B or
. C shifts the function up and down.
The sine function always starts and ends on the x-axis.
The cosine function always starts and ends at the y=A.
6.) The sine function starts at (0,0) then peaks at 5. Comes down to 0 and down to -5 before returning to 0.
The amplitude is 5.
The period is 
7.) Here A=3 so the amplitude is 3, B is 1/2 so the period is 4π. Start at (3,0) and descend down to (2π, 0). Go back up to (4π, 3).
8.) Here A = 2 so the amplitude is A. B is 2π so the period is 1. C is 1 so the graph is shifted up a unit.
Start the graph at (0,1) and go up to (0.25,3) and down to (0.5,1) and continue downward to (0.75, -3) then back up to (1,1).
Answer:
m<FLS=108 degrees
m<SLT=72 degrees
m<ALG=18 degrees
Step-by-step explanation:
(3x) + (4x +12) = 180
x = 24
4x + 12 = 108 = m<FLS
180 - 108 = 72 = m<SLT
SLG = 72 + 90 + x
x = 18 = m<ALG
Angle between
is
° .
<u>Step-by-step explanation:</u>
We have , two vectors u = <-5, -4>, v = <-4, -3> or ,
We need to find angle between these two vectors . Let's find out:
We know that dot product of two vectors is defined as :
, where x is angle between u & v !
⇒ 
⇒ 
Now , 
⇒ 
⇒
{
}
⇒ 
Now , Modulus of any vector
is
So ,

Putting all these values in equation
we get:
⇒ 
⇒ 
⇒
{
}
⇒
°
Therefore , Angle between
is
° .
Answer:
C. Cylinder
Step-by-step explanation:
When a rectangle is rotated about a vertical line then the shape generated is a cylinder.
Thus the rectangle ABCD rotated about AD will form a cylinder.