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scZoUnD [109]
3 years ago
15

What answer is this?

Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

option B

\frac{31}{50}-\frac{4}{25} i

Step-by-step explanation:

Given in the question a complex fraction

<h3>Step1</h3>

To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

\frac{5+4i}{6+8i}(\frac{6-8i}{6-8i})

<h3>Step2</h3>

Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

\frac{30+24i-40i-32i²}{36-64i^{2} }

<h3>Step3</h3>

Simplify the powers of i, specifically remember that i² = –1.

\frac{62-16i}{36+64}

<h3>Step4</h3>

\frac{62}{100}-\frac{16i}{100}

<h3>Step5</h3>

simply

\frac{31}{50}-\frac{4}{25}i

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Help please I get y=mx+b but I'm not sure how to do this
Fofino [41]

(3,4)  (9,7)

to find the slope

m = (y2-y1)/(x2-x1)

  = (7-4)/(9-3)

3/6

1/2

The slope is 1/2

point slope form

y-y1 = m(x-x1)

y-4 = 1/2(x-3)

distribute

y-4 = 1/2x -3/2

add 4 to each side

y = 1/2 x -3/2 + 4

y = 1/2 x -3/2 + 8/2

y = 1/2 x + 5/2

this is in slope intercept form

8 0
3 years ago
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There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-fa
bogdanovich [222]

Answer:

9+9=1-6+9=890 so the awnser would be 8947

6 0
3 years ago
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What is a positive angle less than 360 degrees that is conterminal with -289 degrees
wel

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

  • When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
  • When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
  • To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

4 0
3 years ago
What is the product of -9(5-2x)
nata0808 [166]
-45+18x is the answer
Hope this helped <3
5 0
3 years ago
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Expand and simplify: (x-5)(x+5)
stealth61 [152]
X^2-5x+5x-25 (multiply (x-5) with (x+5))
X^2-25 ( -5x+5x =0)





5 0
3 years ago
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