ANSWER
a. d+4
b. 4d+16
EXPLANATION
The area of the square coaster is represented by:

We split the middle term to obtain,

We factor by grouping to get,


Since area of a square is l² , it means the side length of the square is

b) The perimeter of a square is given by

We substitute the length in terms of d, to obtain;

Or

Answer:
Answer b: Sales of trench coats increased 8.3 percentage points faster than total coat sales.
Step-by-step explanation:
First add all the sales for 2006, and do the same for the 2007 sales, so we can compare both total sales numbers:
For 2006 we have:
103+297+210+213+137 = 960 total sales
For 2007 we have:
127+223+210+285+259 = 1104 total sales
The percent increase is calculated as the difference between the final value minus the original value, divided by the original value and multiplied by 100:
For the total number of coats we have that the percent increase is:
%
For the trench coats (which went from 103 sales tp 127 sales) we have the following percent increase:
%
Therefore, the percent increase in trench coats was larger than the percent increase in total sales by:
23.3 % - 15% = 8.3%
As always, distance = rate times time. Here, distance is unknown, but we have the speed 88 mph and the time 0.25 hour. Thus,
distance traveled during chase = (88 mph)(0.25 hr) = 22 miles.
In math, an isometry is a congruent transformation in which the distance (or length) and the angle is preserved or remains the same even after the transformation.
The transformation can be translation, rotation, reflection, etc.
Let us not use this definition of isometry to answer our question, one at a time.
(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>
(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.
(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>
It is False , because they could be in a common plane but they do not form a single line