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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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lora16 [44]

Answer:

  B.  9

Step-by-step explanation:

We assume that ...

  SU = ST +TU

  133 = (9x-5) +(5x+12)

  126 = 14x . . . . . subtract 7, collect terms

  9 = x . . . . . . . . . divide by 14

7 0
3 years ago
Changes in Mean
egoroff_w [7]
It decreases by 0.5
The original mean was 5.5
The new mean is 5
8 0
3 years ago
The expression 9n + 3 represents the perimeter (in meters) of the triangle. Write an expression in the simplest form that repres
AlexFokin [52]

Answer:

4n+2

Step-by-step explanation:

  1. add all sides =9n+3
  2. 3n+2+2n-1=9n+3
  3. add liketerms 5n+1=9n+3
  4. put liketerms together 9n-5n+3-1
  5. ans hence is 4n+2
5 0
3 years ago
Can someone please answer it correctly if it’s correct I will mark you brainliest
snow_tiger [21]

Answer:

6 blooms

Step-by-step explanation:

40 x 15%

40 x 0.15 = 6

3 0
3 years ago
Read 2 more answers
Find the value of x.<br><br> #9,10,11,&amp;12
ValentinkaMS [17]

Answer:

Step-by-step explanation:

9). It's given in the triangle → Two angles are equal in measure

   Therefore, by the definition of an isosceles triangle, opposite sides of the equal angles are equal in measure.

   x = 12

10). Two sides of the given triangles are equal in length.

    By the definition of an isosceles triangle, opposite angles of the equal sides of the triangle will be equal in measure.

    Therefore, y = 55°

    By the triangle sum theorem,

    x° + y° + 55° = 180°

    x° + 55° + 55° = 180°

    x = 180 - 110

    x = 70°

11). By the definition of an isosceles triangle, opposite sides of the equal angles will be equal in measure.

    x + 3 = 12

    x = 9

12). By the definition of an isosceles triangle, opposite angles of the equal sides of the triangle will be equal in measure.

    m∠2 = 53°

    x + 65 = 53

    x = 53 - 65

    x = -12

7 0
2 years ago
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