Answer:
1. 6n - 15
2. x + 10
3. -4d + 15
4. true, associative property
5. distributive, commutative
Step-by-step explanation:
1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20
2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms
3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms
4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up
5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer
The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
The equation of a circle of <u>radius r and center</u>
is given by:

- The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.
In this problem, the circular path is modeled by:

We complete the squares to place it in the standard format, thus:



Thus, the radius is:

Then, the diameter is:

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
A similar problem is given at brainly.com/question/24992361
123,000.... I hope this answers your question
Answer:
She paid 9% of sales tax
Step-by-step explanation:
The sale price of diamond = $375
Let x be percent of sales tax
So, amount of tax = 
So, Amount including tax = 375+3.75x
We are given that Bethany paid $408.75 for a pair of diamond stud earrings.
So, 375+3.75x=408.75
3.75x=408.75-375

x=9
Hence She paid 9% of sales tax
<span>the correct answer is -4 - 0.144337567 i</span>