Which expression is equivalent to 2(m − 4) + 1?

2m − 7

2m − 3

2m + 9

2m + 10

The expression  2(m − 4) + 1 is equivalent to 2m - 7 .

Step-by-step explanation:

As the expression given in the question is as follows

=  2(m − 4) + 1

Now first open the bracket of the above experession

= 2m - 8 + 1

Simplify the above

= 2m - 7

Therefore the expression  2(m − 4) + 1 is equivalent to 2m - 7 .

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'.