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xenn [34]
3 years ago
12

how do you write the quotient (9+i) over (9-i) in standard form? I need the answer but more importantly, I need to learn how to

solve these kinds of problems.
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0
Since they are the conjugates of each (9-a and 9+a are conjugates, or with any number replacing 9) , we multiply it by (9+i)/(9+i) to get (9+i)^2/(9-i^2)=(81+2i+i^2)/(9-(-1))=(81-1+2i)/(10)=80/10+2i/10=8+i/5. Conjugates work because they make i into i^2 (-1) without any of the sneaky i's in the middle!
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When 80% of a is added to the number, the result is 252. What is the number
wariber [46]
Use the equation .8x + x = 252
x is the number, and .8 is the decimal equivalent of 80%.

1.8x = 252

x = 140
6 0
3 years ago
100 points t who answers first and if answered right u will get brainiest ok
Grace [21]

Answer:

side c = 150 feet of flowers

Area = 5400 feet squared

concert question:

The converse of the Pythagorean theorem can help you determine whether the roped off area is in the shape of a right triangle because you use the side lengths of each square and enter them into the equation, and if the equation is true, then it is a right triangle

Concession stand question:

The school banner can fit across the length of the concession stand

the following information is missing

The length if the sides: c is 50 feet long, b is 40 foot long, and a is 30-foot long.

The distance between the two red stars of the picture makes the hypotenuse of a right triangle, where two sides of length a (30 ft) are the legs. From Pythagorean theorem, diagonal of square A is:

diagonal² = 30² + 30²

diagonal = √1800  = 42.43 ft

which is longer than the banner.

Blueprint question:

No, diagonal of square C is 70.71ft

2nd blueprint question:

50 square root 2

Gardening group:

50.24 yards

8 0
3 years ago
Read 2 more answers
Solve for x and graph the solution on the number line<br> 15 &gt; 2x – 9 &gt; -23
Monica [59]

The answer is 12>x>-7

Step-by-step explanation:

it's first divided into 2 parts

1 . 15 > 2x - 9

2. 2x - 9 > -23

Then solve them individually.

let's do it,

<u>First half</u>

15 > 2x - 9

15+9 > 2x

24 > 2x

24/2 > x

12>x

<u>Second half</u>

2x-9>-23

2x>-23+9

2x>-14

x>-14/2

x>-7

<u>Joining of the two halves</u>

We have :

12>x>-7

8 0
3 years ago
Kurt opened a savings account and deposited $3,000.00 as principal. The account earns 5%
stiv31 [10]

Answer:

Step-by-step explanation:

P = 3,000

r = 5% = 0.05

t = 9 years

Amount after 9 years is

A = P (1+ r)^t

A = 3,000(1+ 0.05)^9 = 3,000 * 1.05^9 = 4653.984648 ≈ $4,653.98

The balance after 9 years, rounded to the nearest cent is

$4,653 and 98 cents

7 0
2 years ago
The number of tickets sold for a concert during each hour ,x, of the first 10hours the tickets were in sale is given by g(x)=x^3
Mashutka [201]

The number in tickets sold A)107

8 0
3 years ago
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