When the quotient of -5 and a number is increased 12, the result is -15. find the number.

The number is equal to  

Step-by-step explanation:

Let x be this number. The quotient of -5 and x is equal to . If we increase it by 12, we add 12. This is equal to -15, so we can write the information as .

Substract 12 from both sides to obtain .

Divide by -5 in both sides to get

Finally, take reciprocals in both sides of the equation to obtain .

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'.

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .