Consider the ordering
... -2 < -1
Now consider the ordering of their absolute values:
... 1 < 2
_____
Hopefully, you see that changing the sign reflects the sequence across the origin, so that the ordering is reversed when the signs are changed.
slope (m ) = 
, y - 1 = ( x - 2)
The equation of a line in ' point- slope form 'is
y - b = m (x - a)( m is the slope and (a , b ) a point on the line )
To calculate m use the ' gradient formula'
m = (y₂ - y₁ )/(x₂ - x₁ )
let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table
m = (31 - 1 )/(14 - 2 ) =
=
equation in point- slope form using m = and (a,b )= (2 , 1)
y - 1 = ( x - 2)
The slope- intercept is y> (1-4x) / 5 and y< 2x + 6
<h3 /><h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
4x – 5y < 1 and 1/2y – x < 3
Solving
4x – 5y < 1
-5y < 1- 4x
-y < (1-4x) / 5
y> (1-4x) / 5
Now, the second inequality,
1/2y – x < 3
1/2y< 3+x
y< 2x + 6
Learn more about this concept here:
brainly.com/question/13762480
#SPJ1
Y=Ф + 8/(ФcosФ) ==> note that
dy/dФ = 1 - 8/[(ФcosФ)]² x (-8sinФ) ==> dy/dФ = 1+[(64sinФ)/Фcos²Ф]
==> dy/dФ = 1+ 64tanФ/Ф or dy/dФ = (Ф+tanФ)/Ф
