Answer:

Step-by-step explanation:
Let
x ----> the length of the third side of triangle in Lauren's sculpture
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Applying the Triangle inequality Theorem
1) 

Rewrite

2) 

therefore
The possible values of x are

Answer:
numbers are 33 and 7
Step-by-step explanation:
x+y=40
4y+5+y=40
5y+5=40
5y=35
y=7
x=4y+5=4(7)+5=28+5=33
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.
First, part A is asking you for the association or correlation of the scatter plot based on the best fit line, or how strongly the scatter plot correlates to the best fit line. You have to find the correlation coefficient by using your graphing calculator for this (let me know if you need help with this). Then, if your correlation coefficient is positive and from 0.8 to 1, then there is a strong and positive correlation. If the correlation coefficient is positive and is from 0.4 to 0.7 (these are all approximate values), then the association is moderate and positive. The remaining range is for a weak and positive correlation. Everything is the same for a negative correlation coefficient, except for how the sign of the ranges and the correlation coefficient is negative.
I'm typing up how to do Part B now. :D