Answer:
(x,y)→(x+5,y) will be congruent; (x,y)→(5x,5y) will not be congruent; (x,y)→(0.5x, 0.5y) will not be congruent; (x,y)→(x,-y) will be congruent; (x,y)→(-x,-y) will be congruent.
Step-by-step explanation:
The types of translations that result in congruent images are translations or slides; reflections; and rotations.
Translations will add to the x- and y-coordinates; this is why the first transformation is congruent.
Reflections will negate one or more of the coordinates; this is why the fourth and fifth transformations are congruent.
The remaining two are dilations; these are stretches or shrinks that occur when the coordinates are multiplied by a number other than 1. These change the size of the figure, which is why they are not congruent.
Answer:
So the final answer is

Step-by-step explanation:
Radicals:
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.
The given expression is

Now take common radical out so we will get

Now add the Parenthesis part.

So the final answer is

Answer: f’(x)= (-2)/(x^2), and g’(x)=-2x
Step by step solution: Please see photo
Answer:
the answer is 5 cups
Step-by-step explanation:
let x rep a cup of sugar
and y rep a cookie
and k be constant
x/kx=6y/30y
k=5