What is 36 percent of 210?
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Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is
Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)
Generic slope intercept form of a line is given by y = mx + c
where "m" = slope of the line and "c" is the y - intercept
Let’s first find slope intercept form of 2x+3y=-8 to get slope of line
On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,
We know that slopes of parallel lines are always equal
So the slope of line passing through (2, -2) is also
Equation of line passing through and having slope of m is given by
Substituting the values in equation of line we get
Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as
Answer:
cos(a + b) =
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) =
cos(b) =
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) = [Since, sin(a) =
]
=
=
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
=
=
By substituting these values in the identity,
cos(a + b) =
=
=
=
Therefore, cos(a + b) =