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Fofino [41]
3 years ago
7

Which complex number is equivalent to (5 + 12i) − (9i2 − 6i), where i = −1 ?

Mathematics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

14 + 18i

Step-by-step explanation:

(5 + 12i) - (9 {i}^{2}  - 6i) \\  = (5 + 12i) - (9 \times  (- 1) - 6i) \\  = (5 + 12i) - ( - 9 - 6i) \\  = (5 + 12i)  +  (  9  + 6i) \\  = 5 + 12i + 9 + 6i \\ \red { \bold{  = 14 + 18i}}

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Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sis
alexdok [17]

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

3 0
3 years ago
Fill in the blank in the sentence below with the correct term. The _________ of the numbers -4 and 4 is 4
Ray Of Light [21]

Answer:

Absolute value

Step-by-step explanation:

Absolute value is how many numbers it takes to get back to zero therefore it can never be negative, I think the term absolute value fits the blank perfectly

5 0
3 years ago
Find the value of x in the figure and choose the correct result,​
Llana [10]
Here’s a picture of my work. The answer is seven. Hope this helps :-)

4 0
3 years ago
a sand timer has 5 5/16 ounces of sand. of sand falls at a rate of 2.5 ounces per minute, how many minutes will the timer last?
Hitman42 [59]

Answer:

about 2 minutes

Step-by-step explanation:

first lets make everything in the same term

so 2.5 =2 1/2

then divide 5 5/16 by 2 1/2

or 85/16 divided by 5/2

you get 2 1/8

so you have about 2 minutes before the timer runs out

5 0
3 years ago
HELP DUE IN 10 MINS!!
fredd [130]

Answer:

  • D. No, they are not similar.

Step-by-step explanation:

<u>Check the ratio of the two given sides:</u>

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Ratios are different so the triangles are not similar

Correct choice is D

5 0
3 years ago
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