Answer:
Step-by-step explanation:
Each of the squares has trinomials that factor. x^2 - 14x + 49 = (x - 7)^2
When you take the square root (to get the side length) you get x - 7. So the length of each square is x - 7) = 0;..........x=7 That's the answer to a.
The answer to b is the same. The width =7
It's a square both sides have to be equal.
The length of the rectangle when the two squares are put together is 7 +7 = 14.
Answer: Question a = 7..... Question b = 7 ......... Question C = 14
Your favorite restaurant offers a total of 13 desserts, of which 11 have ice cream as a main ingredient and 9 have fruit as a main ingredient. Assuming that all of them have either...
Answer:
horizontal
Step-by-step explanation:
as it's horizontal
The x intercept represents the initial amount of chocolate bars sold (in this case 0)
All the numbers in this range can be written as

with

and

. Construct a table like so (see attached; apparently the environment for constructing tables isn't supported on this site...)
so that each entry in the table corresponds to the sum of the tens digit (row) and the ones digit (column). Now, you want to find the numbers whose digits add to perfect squares, which occurs when the sum of the digits is either of 1, 4, 9, or 16. You'll notice that this happens along some diagonals.
For each number that occupies an entire diagonal in the table, it's easy to see that that number

shows up

times in the table, so there is one instance of 1, four of 4, and nine of 9. Meanwhile, 16 shows up only twice due to the constraints of the table.
So there are 16 instances of two digit numbers between 10 and 92 whose digits add to perfect squares.