Find an equation of the line L. L is perpendicular to y=-2x and is passing through points 2,-4

slope of line y= -2x is -2

slope of line L= (-1)reciprocal of slope line y= -2x.

=( -1)(-1/2)

=1/2

since the L passes through (2,-4),

equation of line L: y-(-4)= 1/2(x-2)

2y+8 = x-2

x-2y-10=0

Hence equation of line L is x-2y-10=0

europa2433

europa2433

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.