9x²- 25
3x(3x) = 9x²
3x(5) = 15x
-5(3x) = -15x
-5(5) = -25
9x² + 15x - 15x - 25
9x² - 25 is your answer
hope this helps
<h3>
Answer: -i</h3>
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Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
- i^0 = 1
- i^1 = i
- i^2 = -1
- i^3 = i*i^2 = i*(-1) = -i
- i^4 = (i^2)^2 = (-1)^2 = 1
By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
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Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
<h3>
-i is the final answer</h3>
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Side notes:
- if i^a = i^b, then a-b is a multiple of 4
- Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
Answer:
Yes, SAS.
Step-by-step explanation:
For my education system, there isn't such thing as SAS, ASA or etc. I just had to search it up what it was.
Congruent angles are angles with the same shape and size. The two triangles are congruent if you look carefully, after that I searched up and saw the different rules of triangles. I think that SAS might be the correct answer.
8 14/15 pounds altogether if you needed the answer in mixed numbers simplified.
