In the first expression you must add the similar terms (x+x=2x), then apply the common factor in this case it is 2 , so you will get excactly the same second expression.
Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
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Answer:
26.44%
Step-by-step explanation:
The change in temperature is:
1535 - 1214 = 321
This change represents a percent increase:
321/1214*100% = 26.44% (rounded)
Step-by-step explanation:
Answer:
i) True
ii) True
Step-by-step explanation:
<u>Given :-</u>
Point (-1, 2)
<u>To Find :</u>
Whether the point is a solution of :
- y = -2x
- y = x + 3
<u>Solving :-</u>
Substitute the value of the point in each of the equations.
=> y = -2x
=> 2 = -2(-1)
=> 2 = 2 [∴ The point makes it true]
=> y = x + 3
=> 2 = -1 + 3
=> 2 = 2 [∴ The point makes it true]
Answer:
Step-by-step explanation:
The answer is the last option because
X=4.75023+5k/3
x=272.2+k*300