Pythagoraean theorem.
17^2=8^2+b^2
289=64+b^2
225=b^2
Sqrt(225)=b
B=15
The HCF for the three sets of algebraic expression is 32b.
<h3>HCF of algebraic expression</h3>
The HCF of an algebraic expression is the highest common factor present in between given two or more numbers or mathematical expression.
we shall derive the HCF of the algebraic expression by first expressing them as products of the their prime factors as follows;
32a × 5b × 4 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × a × b
24a × 6b × 6 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × a × b
48a × 4b × 5 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × b
Then;
32a × 5b × 4 = (2^5) × b× 2 × 2 × 5 × a
24a × 6b × 6 = (2^5) × b × 3 × 3 × a
48a × 4b × 5 = (2^5) × b × 2 × 5
Hence, the HCF = (2^5) × b
HCF = 32 × b
HCF = 32b
Therefore, we can say that the HCF of the given algebraic expressions is 32b.
Learn more about HCF of algebraic expressions here: brainly.com/question/4344214
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X= -8 You need to get x alone
Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.
Step-by-step explanation:
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