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Answer:
See proof below
Step-by-step explanation:
Let . If w=-z, then r=0 and r is real. Suppose that w≠-z, that is, r≠0.
Remember this useful identity: if x is a complex number then where is the conjugate of x.
Now, using the properties of the conjugate (the conjugate of the sum(product) of two numbers is the sum(product) of the conjugates):
=
Thus . From this, . A complex number is real if and only if it is equal to its conjugate, therefore r is real.
Answer:
The answer is -2 and 2.
Step-by-step explanation:
You have to solve the modulus :
The average speed of the family during their walk will be 1.4 km per hour.
<h3>What is the average speed?</h3>
The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. Its unit is a meter per second or Km per hour.
Given that over a 1.35-hour period of time, a family walk 0.75 km, stop to talk to the neighbor, and then walk another 1.15 km before reaching their destination.
The average speed will be calculated as:-
Average speed = Total distance / Total time
Average speed = ( 1.15 + 0.75 ) / 1.25
Average speed = 1.4 km per hour.
Therefore, the average speed of the family during their walk will be 1.4 km per hour.
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Answer:
Step-by-step explanation:
commission amount = 4 % of Rs 65000
=4/100 * 65000
=260000/100
=2600
therefore commision amount is Rs 2600
SP od an article = Rs 2700
profit %=8%
let CP be x
SP=CP + profit% of CP
2700=x + 8/100 *x
2700=100x + 8x/100
2700*100 = 108x
270000=108x
270000/108=x
2500=x
therefore cost price (CP) of an article is Rs 2500.