Answer:
x+3
Step-by-step explanation:
If you factor 5 out of the denominator of the first expression, 5x+15 turns into 5(x+3).
Then, since you have x+3 in the numerator and denominator, it will cancel out.
The steps are shown below:

Ive attached an image that shows an example of simplifying an expression using a the same technique.
Answer:
I'm guessing y is numerator and 5 is denominator. so y^2/25
Step-by-step explanation:
so if you have the fraction y/5 and you need to square it or raise to the second power you get (y/5)^2. now using the properties of exponents when you get a fraction and need to raise it to a power you square the denominator and numerator which gets you y^2/25. now let's check if it works we can use 5 for y so (5/5)^2 is equal to 25/25 = 1. or (10/5)^2 which is 2^2 = 4. or 100/25 which is 4. so the equation works for the expression.
Answer:
D. (x, y) → (x, −y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.
The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.
The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.
The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.
The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.
Answer:
+3/2 (Answer B)
Step-by-step explanation:
If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:
-1
------------ = +3/2 (Answer B)
-2/3