A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?
2 answers:
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Answer:
Leon is correct. (Option 1)
Step-by-step explanation:
Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.
Step 1: Find the greatest common factor of the given lengths: 7
Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5
Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.
we have to explain whether or not Leon is correct.
As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem
⇒
Let a, b, c forms a Pythagorean triplet
Multiplied by 4 on both sides
⇒
⇒
Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.
∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
Hence, Leon is correct.
Answer:
Step-by-step explanation:
When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, and
only have one common factor:
. Therefore, to factorize this expression, divide both terms by
.
Now, we've "carried" out of the expression and have therefore factored it.
I hope this helps!