Cellus The figure below is a rhombus. 630 x y = Enter

Simplify the expression 5+6i/4+6i A) 56-6i/-20 B) -16-6i/-20 C)56-6i/52 D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

8 0

3 years ago

Read 2 more answers

The inequality of the most people that can be seated in the auditorium

WINSTONCH [101]

Let x be the number of people that can be seated.

The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that $x \ge 0$ which is the same as saying $0 \le x$

The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have $x \le 1200$ indicating that x can be less than 1200 or equal to 1200.

So putting the two inequalities together, we get $0 \le x \le 1200$

Note: if you haven't learned about compound inequalities yet, then the teacher may only want $x \le 1200$ as the answer.

3 0

3 years ago

a gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. if

Serga [27]

Answer:

Step-by-step explanation:

5+1+3+8+2=19

3/19 = 16%

6 0

2 years ago

You accept a new job with a starting salary of $47,000. You receive a 4% raise at the start of your second year, a 5.6% raise at

Sunny_sXe [5.5K]

Answer:

1yr 47,000, 2nd yr 48,880, 3rd yr 51,617.28, 4th yr 57,346.7981 or 57,346.80

Step-by-step explanation:

1yr 47,000

2nd yr 47,000 x 4% = 48,880

3rd yr 48,880 x 5.6% = 51,617.28

4th yr 51,617.28 x 11.1% = 57,346.7981 or 57,346.80

4 0

3 years ago

Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his hou

creativ13 [48]

Answer: [0, 396]

Step-by-step explanation:

The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.

0 to 44 written in interval notation is [0,44].

The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.

A(t) = 9t

A = 9(44)

A = 396

With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.

0 to 396 written in interval notation is [0, 396].

4 0

3 years ago