Solve the equation:
x^3+3x^2-x+12=0

Step-by-step explanation:

The synthetic division shown below both confirms that x=-4 is a solution and gives the reduced quadratic as

  x^2 -x +3 = 0

Using the quadratic formula with a=1, b=-1, c=3, we find the other two solutions to be ...

____

The graph of the cubic shows it has one real root at x=-4. Dividing the function by the corresponding factor shows the quadratic factor to have its vertex at (0.5, 2.75). This means the remaining roots are 0.5±i√2.75, matching the above result.

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl