−1.2(3x − 3) = 4(3x +0.9)

x = 0

Step-by-step explanation:

Solve for x:

-1.2 (3 x - 3) = 4 (3 x + 0.9)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

3.6 - 3.6 x = 4 (3 x + 0.9)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

3.6 - 3.6 x = 12 x + 3.6

Hint: | Move terms with x to the left hand side.

Subtract 12 x from both sides:

3.6 + (-3.6 x - 12 x) = (12 x - 12 x) + 3.6

Hint: | Combine like terms in -3.6 x - 12 x.

-3.6 x - 12 x = -15.6 x:

-15.6 x + 3.6 = (12 x - 12 x) + 3.6

Hint: | Look for the difference of two identical terms.

12 x - 12 x = 0:

3.6 - 15.6 x = 3.6

Hint: | Isolate terms with x to the left hand side.

Subtract 3.5999999999999996` from both sides:

(3.6 - 3.6) - 15.6 x = 3.6 - 3.6

Hint: | Look for the difference of two identical terms.

3.6 - 3.6 = 0:

-15.6 x = 3.6 - 3.6

Hint: | Look for the difference of two identical terms.

3.6 - 3.6 = 0:

-15.6 x = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -15.6 x = 0 by -15.6:

(-15.6 x)/(-15.6) = 0/(-15.6)

Hint: | Any nonzero number divided by itself is one.

(-15.6)/(-15.6) = 1:

x = 0/(-15.6)

Hint: | Zero divided by any non-zero number is zero.

0/(-15.6) = 0:

x = 0

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'.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.