Give the equation of a line that is perpendicular to the line y= -4/5x+8

  y = 5/4x

Step-by-step explanation:

The given line is written in slope-intercept form. In this form, the slope is the coefficient of x, -4/5.

The perpendicular line will have a slope that is the opposite reciprocal of this value:

  -1/(-4/5) = 5/4

The simplest such line is the one that goes through the origin:

  y = 5/4x

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.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: