Answer:
ANSWER
z
1
=3+4i
z
2
=−4+3i
z=z
1
+z
2
∴z=(3+4i)+(−4+3i)
∴z=(−1+7i)
∴∣z∣=5
2
Step-by-step explanation:
These are so easy, you won't believe it !
A negative exponent only means
"Put all of this in the denominator, and make the exponent positive."
So (any number)^negative power =
1 / (the same number)^(the same power but not negative) .
The first few problems on that sheet:
1). 5^-3 = 1 / 5^3
2). 6^-10 = 1 / 6^10
3). (-2)^-5 = 1 / (-2)^5
Got it ? You can do the rest of them now in about 2 minutes.
It is either C or D because as temperatures rise the sells would increase.
8. Answer: (C) 101.3
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C
795.24 = 285.61 + 380.25 - 659.1 cos C
795.24 = 665.76 - 659.1 cos C
129.38 = - 659.1 cos C
-0.196 = cos C
cos⁻¹ (-0.196) = cos⁻¹ (cos C)
101.3 = C
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10. Answer: (A) 27.9
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
c² = 25² + 18² - 2(25)(18)·cos 79
c² = 625 + 324 - 900 cos 79
c² = 949 - 171.7
c² = 777.3
√c² = √777.3
c = 27.9
Answer:
Top-left system: (3,5)
Bottom-right
system: (-1,0)
Step-by-step explanation:
One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.