X = 4 and y = 4 square root 2
<span>so here is how you can answer this:
Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get,
Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values,
5000 =.1 * x + .15 * 12500.
Now it's a matter of finding for x. You should get,
x = $31,250.</span>
Answer: The image is attached.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is:

Since:

It is an Enlargement.
You can identify that the vertices of the pre-image shown in the figure, are:

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

Now you can draw it (The image is attached).
Answer:
D but see below.
Step-by-step explanation:
It can be factored if you are allowed to use square roots.
(p + 5√5)(p - 5√5)
Usually, you are not allowed to do that. Usually you must be working with whole numbers or rational well behaved fractions.
I think, given the above comment, the answer is D