<h3>Answer: Commutative Property (choice C)</h3>
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Explanation:
Here are all of the justifications for each step
- Step 1. None needed. This is the original expression
- Step 2. Distributive property
- Step 3. Multiply (the 3 and 5 multiply to 15)
- Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the -15 and 4x terms swap places.
- Step 5. Associative property. The parenthesis group the first two terms away from the third term.
- Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.
Answer:
C is the answer ,got it right on EDG 2020
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can use formula (a-b)² = a² -2ab + b².
In our example a = 3c^4 and b = 5c^6
![(3c^{4} - 5c^{6})^{2} = [3c^{4} ]^{2} - 2*3c^{4} *5c^{6} + [5c^{6}]^{2}=\\=9c^{8} -30c^{10} + 25c^{12}](https://tex.z-dn.net/?f=%283c%5E%7B4%7D%20-%205c%5E%7B6%7D%29%5E%7B2%7D%20%3D%20%5B3c%5E%7B4%7D%20%5D%5E%7B2%7D%20-%202%2A3c%5E%7B4%7D%20%2A5c%5E%7B6%7D%20%2B%20%5B5c%5E%7B6%7D%5D%5E%7B2%7D%3D%5C%5C%3D9c%5E%7B8%7D%20-30c%5E%7B10%7D%20%2B%2025c%5E%7B12%7D)
A = b+5
ab = 3300
(b+5)b = 3300
b² +5b -3300 = 0 (quadratic formula)
b=55
a=60 (by first relation)
The distance between city C and city D is 450 miles.
<u>Solution:</u>
Given, The distance between City A and City B is 250 miles.
A length of 2.3 feet represents this distance on a certain wall map.
City C and City D are 4.14 feet apart on this map.
We have to find what is the actual distance between City C and City D?
Now, distance between a and b is 250 miles ⇒ 2.3 feet on map
Then, distance between c and d be n miles ⇒ 4.14 feet on map.
Now, by chris cross method.
250 x 4.14 = 2.3 x n miles.
2.3n = 1035
n = 450
Hence, the distance between city C and city D is 450 miles.
