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grandymaker [24]
2 years ago
10

Find the quotient of these complex numbers.

Mathematics
1 answer:
stich3 [128]2 years ago
8 0

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}

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Answer: X=1

Step-by-step explanation:

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5 0
2 years ago
Consider the functions. F(x)=(x+1)2-4 and g(x)=-4|x+1| which statement compares the range of the functions?
Andreyy89

Answer:

<h2>        The fourth</h2>

Step-by-step explanation:

Vertex of f is (-1, -4) so its range is limited to y≥-4

|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0

3 0
3 years ago
Which of these relations on {0, 1, 2, 3} are equivalence relations? Determine the properties of an equivalence re- lation that t
slava [35]

Answer:

The relations that are equivalence relations are a) and c)

Step-by-step explanation:

A relation on a set A is called an equivalence relation if it is reflexive, symmetric, and transitive

We are going to analyze each one.

a){ (0,0), (1,1), (2,2), (3,3) }

Is an equivalence relation because it has all the properties.

b){ (0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3) }

Is not an equivalence relation. Not reflexive: (1,1) is missing, not transitive: (0,2) and (2,3) are in the relation, but not (0,3)

c){ (0,0), (1,1), (1,2), (2,1), (2,2), (3,3) }

Is an equivalence relation because it has all the properties.

d){ (0,0), (1,1), (1,3), (2,2), (2,3), (3,1), (3,2) (3,3) }

Is not an equivalence relation. Not transitive: (1,3) and (3,2) are in the relation, but not (1,2)

e){ (0,0), (0,1) (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3) }

Is not an equivalence relation. Not symmetric: (1,2) is present, but not (2,1)Not transitive: (2,0) and (0,1) are in the relation, but not (2,1)

5 0
3 years ago
So I took a test from my teachers desk and took photos of the test questions. I am indeed cheating but I just want to know the a
romanna [79]

Answer:

THE CORRECT OPTION IS A) Δ ABC \simΔ BDC \simΔ ADB

Step-by-step explanation:

The first option is in correct order of triangle ,we can easily the their sides are proportionate . And having eqal angles.

8 0
3 years ago
6.3 + |8.7 + (-6.8)|
igor_vitrenko [27]

Answer:

21.8

Step-by-step explanation:

7 0
3 years ago
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