Answer:
56/64 simplified is 0.875 or 7/8 as a fraction
<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:
3y+5x=0
Step-by-step explanation:
The question is on equations of parallel lines
Finding the gradient m of line AB
m=change in y coordinates/change in x-co-ordinates
Given points A(-3,0) and B (-6,5)
m=Δy/Δx Δy=5-0=5 Δx=-6 - -3= -3 ⇒m= - 5/3
Equation
The line will have its gradient equal to - 5/3
m=-5/3
point is the origin (0,0)
m=Δy/Δx
y-0/x-0 = -5/3
3(y-0)=-5(x-0)
3y-0= -5x+0
3y=-5x
3y+5x=0
Answer:
I think this is pythagorean theorem but I'm not sure what I got was 15 for the answer
