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1 answer:
The answers are marked in the attached image. The associative property of addition states that we can group numbers in any order we want as long as we're adding them. The same applies for the associative property of multiplication.
A similar rule is the commutative property of multiplication which says we can multiply numbers in any order. Example: 2*3 is the same as 3*2. Addition works this way as well. Example: 5+7 is the same as 7+5
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Answer:
Step-by-step explanation:
Given
Required
Find r
From the question, we understand that G is a point between D and M:
This implies that:
Substitute values for DM, DG and GM
Collect Like Terms
Solve for r
Q) Without a calculator, we must estimate the value of the following expression:
A) I estimate 3 - √38 to be approximately -3.2.
First, we estimate the value of √38. √38 is between √36 and √49, but close to √36 (since 38 is closer to 4 than it is to 9). Since √36 is 6, √38 is probably something like 6.1 or 6.2. Filling 6.2 in the expression and simplifying, we have this:
So, I expect the number 3 - √38 to be close to -3.2.
Using a calculator we find that: 3 - √38 ≅ -3.16, which it is approximately the result that we found.
Answer
Without a calculator we find that 3 - √38 ≅ -3.2.