Answer:
They are all true
Step-by-step explanation:
1. 3² +4² = 5²
3x3 + 4x4 = 5x5
9 + 16 = 25
25 = 25
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2. 6² + 8² = 10²
36 + 64 = 100
100 = 100
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3. 9² + 12² = 15²
81 + 144 = 225
225 = 225
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4. 5² +12² =13²
25 + 144 = 169
169 =169
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Answer:
John is 29, Myles is 17.
Step-by-step explanation:
The general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.
<h3>Arithmetic progression</h3>
-13, -11, -9, -7
- First term, a = -13
- Second term = -11
Common difference, d = Second term - first term
= -11 - (-13)
= -11 + 13
= 2
Therefore,
Tn = a + (n - 1)d
Where,
Tn = a + (n - 1)d
= -13 + (n - 1)2
= -13 - 2n - 2
Tn = -15 - 2n
So therefore, the general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.
Learn more about arithmetic progression:
brainly.com/question/6561461
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Answer:
Step-by-step explanation:
Given equation:
Cube root both sides:
![\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%5B3%5D%7Bp%5E3%7D%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D)
![\implies p= \sqrt[3]{\dfrac{1}{8}}](https://tex.z-dn.net/?f=%5Cimplies%20p%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D)
![\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:](https://tex.z-dn.net/?f=%5Ctextsf%7BApply%20exponent%20rule%7D%20%5Cquad%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3A)
Rewrite 8 as 2³:
Simplify:
Steps:
6 1/4 - 4 3/15 can also be written as 25/4 - 23/5
The LCD of 4 and 5 is 20.
That gives us 125/20 - 92/20.
Now, just subtract the numerators (leave the denominators the same).
That brings us to 33/20, which can be simplified to 1 13/20
Final Answer:
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