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WARRIOR [948]
2 years ago
5

Find each absolute value| 4+2i || 5-i || -3i |

Mathematics
2 answers:
GrogVix [38]2 years ago
8 0

Well it would stay the same since you need to have i to equal something

galina1969 [7]2 years ago
4 0

How to get answer for number 1: | 4+2i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}

How to get answer for number 2: | 5-i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}

Number 3 how to get answer: | -3i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3

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Simply<br> (2k-9)^2+(k+2)^2=(2k+1)^2+(k-8)^2
vova2212 [387]

The square of a binomial expands as follows:

(a+b)^2=a^2+2ab+b^2

Expanding all the binomials, we have

4k^2-36k+81+k^2+4k+4=4k^2+4k+1+k^2-16k+64

Sum like terms:

5k^2-32k+85=5k^2-12k+65

Simplify terms appearing on both sides:

-32k+85=-12k+65

Move all terms involving k to the left and all numbers to the right:

-20k=-20

Divide both sides by -20:

k=1

6 0
3 years ago
Which of the following equations has the given solution set?
tester [92]
-2m + 5 = 2m + 5
2m + 2m = 5 - 5
4m = 0
m = 0

-2m + 5 = -2m + 5
-2m + 2m = 5 - 5
0 = 0

-2m + 5 = -2m - 5
-2m + 2m = 5 + 5
0 = 10
Solution set is Ф
The third equation is the correct answer.
8 0
3 years ago
How do I solve this?
prisoha [69]

y =  - 7 \\ x = 3

7 0
2 years ago
I need help with this question! (it's the picture)
Sauron [17]
Cos(38°) = x/44  ⇒ x = 44 * cos(38°) ≈ 34.7 units
6 0
3 years ago
Find the missing values in the ratio table below.
Nataliya [291]
  • <em>Answer:</em>

<em>attachment</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>trucks/cars = 2/3 = x/9 = 30/y</em>

<em>x = 2×9/3 = 18/3 = 6</em>

<em>y = 3×30/2 = 90/2 = 45</em>

<em>Good luck ! </em>

3 0
3 years ago
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