Complete the square to rewrite the equation in the form (x−h)2=p.
x2+12x+23=0
what is the equation in (x−h)2=p form?
(x+6)2=−23
(x−6)2=−59
(x−6)2=23
(x+6)2=13

The answer to your question is  the last option  (x + 6)² = 13

Step-by-step explanation:

Data

                             x² + 12x + 23 = 0

Process

1.- Subtract 23 in both sides

                           x² + 12x + 23 - 23 = -23

2.- Simplify

                          x² + 12x + (     )   = - 23

3.- Complete the perfect square trinomial

                         x² + 12x + (6)² = -23 + (6)²

4.- Factor

                         (x + 6)² = -23 + (6)²

5.- Simplify

                         (x + 6)² = -23 + 36

6.- Result

                        (x + 6)² = 13                              

the answer is a i belaeve atleast thats what my calculator just gfave me

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.