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Hitman42 [59]
2 years ago
13

(8+8i)(-3+9i) using imaginary numbers

Mathematics
2 answers:
Leya [2.2K]2 years ago
6 0

The answer is -96+48i

lana66690 [7]2 years ago
3 0
-96+48i is the answer and check photo for steps

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Please help!!! urgent
Crank

Answer:

E

Step-by-step explanation:

is the answer

5 0
3 years ago
Mary’s cookie jar opening has a circumference of 24 inches.
HACTEHA [7]

Answer:

75.40 inches

Step-by-step explanation:

If it is its circumference, then the answer is self-evident, 24 inches. If it is its diameter, then we must do a little calculation, multiplying the diameter by Pi to reach 75.40 inches.

5 0
2 years ago
Read 2 more answers
HELLPP. ITS URGENT.50 PTS
ICE Princess25 [194]

Answer:

  • 4x² - 13x + 8 = 0
  • 4x² - 11x + 5 = 0
  • 16x² - 41x + 1 = 0
  • x² + 5x + 4 = 0
  • x² - 66x + 64 = 0

Step-by-step explanation:

<u>Given</u>

  • α and β are roots of 4x²-5x-1=0

<u>Then the sum and product of the roots are:</u>

  • α+b = -(-5)/4 = 5/4
  • αβ = -1/4

(i) <u>Roots are α + 1 and β + 1, then we have:</u>

  • (x - (α + 1))(x - (β + 1)) = 0
  • (x - α - 1)(x - β - 1) = 0
  • x² - (α+β+2)x + α+β+ αβ + 1 = 0
  • x² - (5/4+2)x +5/4 - 1/4 + 1 = 0
  • x² - 13/4x + 2= 0
  • 4x² - 13x + 8 = 0

(ii) <u>Roots are 2 - α and 2 - β, then we have:</u>

  • (x + α - 2)(x + β - 2) = 0
  • x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0
  • x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0
  • x² - 11/4x - 10/4 - 1/4 + 16/4 = 0
  • x² - 11/4x + 5/4x = 0
  • 4x² - 11x + 5 = 0

(iii) <u>Roots are α² and β², then:</u>

  • (x - α²)(x-β²) = 0
  • x² -(α²+β²)x + (αβ)² = 0
  • x² - ((α+β)² - 2αβ)x + (-1/4)² = 0
  • x² - ((5/4)² -2(-1/4))x + 1/16 = 0
  • x² - ( 25/16 + 1/2)x + 1/16 = 0
  • x² - 33/16x + 1/16 = 0
  • 16x² - 33x + 1 = 0

(iv) <u>Roots are 1/α and 1/β, then:</u>

  • (x - 1/α)(x - 1/β) = 0
  • x² - (1/α+1/β)x + 1/αβ = 0
  • x² - ((α+β)/αβ)x + 1/αβ = 0
  • x² - (5/4)/(-1/4)x - 1/(-1/4) = 0
  • x² + 5x + 4 = 0

(v) <u>Roots are 2/α² and 2/β², then:</u>

  • (x - 2/α²)(x - 2/β²) = 0
  • x² - (2/α² + 2/β²)x + 4/(αβ)² = 0
  • x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0
  • x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0
  • x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0
  • x² - 2(33)x + 64 = 0
  • x² - 66x + 64 = 0

3 0
3 years ago
Read 2 more answers
7 - 3 = -x + 1 <br><br> Solve for X.
Sati [7]
7-3=-x+1
4=-x+1 substract 1
-1 -1
4-1=-x
3=-x multiply by -1
•(-1) •(-1)
-3=x
x=-3
5 0
3 years ago
Read 2 more answers
-6×4-64÷(-3.3+1.7)<br>Please help​
shepuryov [24]

Answer: 16

Step-by-step explanation:

-24-64 / (-1.6)

-24-64 / (-8/5)

-24 + 64 x 5/8

-24 + 8 x 5

-24 + 40

= 16

6 0
2 years ago
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