The simplified area function in terms of y for a rectangle is 
<u>Solution:</u>
Given that length of each side of a square = y
Need to determine area of rectangle whose length is twice the length of the square and width is 2 units longer that the side length of square
Length of rectangle = twice of side length of square = 
Width of rectangle = 2 + side length of square = 2 + y = y + 2

On substituting length and width in formula for area, we get

Hence function
is represents area of required rectangle.
Answer:
The couch costs $678 and $339 for the coffee.
Step-by-step explanation:
In total you spent $1017 and it was used in 3 portions, 2 for the couch, and 1 for the coffee. First divide it and find out how much each portion costs. In this case (1017 divided by 3) the answer will be 339. Now since you spent 2 of the 3 portions on the couch multiply one portion by 2. Then you get 678 for 2 portions, hence telling us that the couch costed, $678. With the remaining one portion of 339, you already know coffee costs $339. Please give me brainliest, I am new to answering questions. Thanks!
Answer:
C. Permutation; number of ways = 210
Answer:

Step-by-step explanation:
Calculate the length (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (0, 7)
d = 
= 
= 
=
≈ 4.1 ( to 1 dec. place )
The point-slope form:

m - slope
(x₁, y₁) - the point
The formula of a slope:

We have the points (5, 4) and (2, -2). Substitute:

- <em>point-slope form</em>
<em>add 4 to both sides</em>
- <em>slope-intercept form</em>
<em>subtract 2x from both sides</em>
<em>change the signs</em>
- <em>standard form</em>
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From the table we have two points (1, 3) and (2, 7). SubstituteL

- <em>point-slope form</em>
<em>add 3 to both sides</em>
- <em>slope-intercept form</em>
<em>subtract 4x from both sides</em>
<em>change the signs</em>
- <em>standard form</em>