The fastest way to find the missing endpoint is to determine from the known endpoint to the midpoint and then performing the same transformation on the midpoint.
I'm going to try to let you answer this yourself so you can learn for yourself ok. :3
Answer:
1. Perfect Square
2. Perfect Square
3. Conjugate
4. Conjugate
5. Perfect Square
-I am about 98% sure about these answers.
-An example for a perfect square is (5x+3)(5x+3) and an example for a conjugate is (5x+3)(5x-3). The only difference between the two is the symbol for the second pair of parenthesis.
Lets start this by seeing what Rose has done:
first she borrows $5, then she borrows another $11. she then pays back $3.50 of the $5 and $9.50 of the $11.
knowing this, we can use a number line to help solve this problem. first, we would make a mark at 5 on your number line, then go up the number line 11 more times until you reach 16. once youre at 16, you need to jump backwards down the number line 3 1/2 spots. this would leave you at 13 1/2, which would leave a dot halfway in between 13 and 14. now, you need to back 9 1/2 more spots so you can see how much she owes to her brother and father. if youre at 13 1/2 on your number line, and go back, or subtract, 9 1/2 spots you end up 4. this means that Rose owes $4 still. if you do not understand this process, i will include a picture below of my number line and you can follow along to the steps written above on the number line.
let me know if you have any other questions
:)
Absolute value inequalities can be divided into two inequalities
if you had |x| > n
then it could be divided into
x>n & x<-n
$4.20+$4.20+$4.20+$4.20+$4.20=$21.00
$7.50+$7.50+$7.50=$22.50
5 books at $4.20 costs cheaper that 3 books at $7.50. 5 books will be $1.50 cheaper