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lana66690 [7]
4 years ago
15

What is the quotient of the complex number 4-3i divided by its conjugate?

Mathematics
1 answer:
almond37 [142]4 years ago
3 0

Answer: C. \frac{7}{25}-\frac{24}{25}i


Step-by-step explanation:

1. You have the following division:

\frac{4-3i}{4+3i} (As you can see, to find the conjugate of  4-3i you must change the sign between the terms).

2. To solve this division, you must multiply the numerator and the denominator by the conjugate of the denominator, as following:

=\frac{(4-3i)}{(4+3i)}\frac{(4-3i)}{(4-3i)}=\frac{16-12i-12i+9i^{2}}{16-9i^{2}}

3. Keeping on mind that i^{2}=-1, you have:

=\frac{16-12i-12i+9(-1)}{16-9(-1)}

4. Simplifying:

=\frac{7-24i}{25}=\frac{7}{25}-\frac{24}{25}i

5. The result is:

\frac{7}{25}-\frac{24}{25}i

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sleet_krkn [62]

Answer:

B

Step-by-step explanation:

because the angles 1 and 7 are alternate and equal , we can conclude that p and q are parralel

4 0
2 years ago
Help :( I suck at math
iris [78.8K]

Answer:

D

Step-by-step explanation:

For some side lengths to create a triangle, any two of the side lengths must have an added length together of less than the third leg. Otherwise, the vertices would simply not be able to be connected by the lines. In a), 3+5=8, but since it is not more, the triangle will not be able to be formed (it would basically just be a line.) In B, 7+8< 16. In C, there is the same situation as with the first example (4+15=19). Finally, in the last one, 5+7>12, and all of the side lengths work out. Therefore, the correct answer is D. Hope this helps!

7 0
3 years ago
sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it
Vikki [24]
Congruent= the same shape and size.

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Area of the rectangle before it is dividide=40 cm²
5 0
4 years ago
Please help me with this 10 points​
kiruha [24]

Answer:

i couldnt see the first 2 good.

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4 0
3 years ago
-2(2x+3)=-4(x+1) - 2
mario62 [17]

Answer:

All real numbers are solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(2x+3)=−4(x+1)−2

Step 1: Simplify both sides of the equation.

−2(2x+3)=−4(x+1)−2

(−2)(2x)+(−2)(3)=(−4)(x)+(−4)(1)+−2(Distribute)

−4x+−6=−4x+−4+−2

−4x−6=(−4x)+(−4+−2)(Combine Like Terms)

−4x−6=−4x+−6

−4x−6=−4x−6

Step 2: Add 4x to both sides.

−4x−6+4x=−4x−6+4x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

Answer:

All real numbers are solutions.

8 0
3 years ago
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