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adoni [48]
4 years ago
10

What is the standard form of (7-5i) (2+3i)

Mathematics
1 answer:
ladessa [460]4 years ago
3 0

Answer:

(7-5i)( 2+3i)

=7(2)+ 7(3i)-5i(2) -(5i)(3i)

= 14 +21i -10i +15

= 29 +11i

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If two sides of a rectangle are 5 units and 9 units, what is the perimeter?
Mariana [72]
The perimeter is 28 bc 5+5 is 10 and 9+9 is 18 so if you add 10 and 18 you get 28. Hope it helps:)
(please mark brainliest )
3 0
3 years ago
2 sin^2 + sin x - 3 = 0
denpristay [2]

Answer:

x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Step-by-step explanation:

Solve for x:

-3 + sin(x) + 2 sin^2(x) = 0

The left hand side factors into a product with two terms:

(sin(x) - 1) (2 sin(x) + 3) = 0

Split into two equations:

sin(x) - 1 = 0 or 2 sin(x) + 3 = 0

Add 1 to both sides:

sin(x) = 1 or 2 sin(x) + 3 = 0

Take the inverse sine of both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) + 3 = 0

Subtract 3 from both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) = -3

Divide both sides by 2:

x = 2 π n_1 + π/2 for n_1 element Z

or sin(x) = -3/2

Take the inverse sine of both sides:

Answer:  x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

3 0
3 years ago
Please solve and show all work thanks
mars1129 [50]

Answer:

  The smallest of the two consecutive integers is 10 or less.

Step-by-step explanation:

Let x represent the smallest of the even integers in the sequence.

Then the sum of two consecutive even integers is ...

  x + (x +2) = 2x +2

And half the sum of the next two consecutive even integers is ...

  (1/2)((x +4) + (x +6)) = x + 5

The relationship between these values is ...

  2x +2 ≤ 7 + (x +5)

Subtracting x+2 gives ...

  x ≤ 10

The least of the two consecutive even integers is at most 10.

5 0
3 years ago
Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 3 months is $1.60. For Account
const2013 [10]

Answer:

$1.28

Note for you:

I hope this helps!

Answer and Step-by-step explanation:

The computation is shown below;

As we know that

The simple interest is

Simple interest = Principal × rate × time

For Account A, the principal would be

2 = Principal × 3.2% × 3

So, the principal is $20.83

For account B, the principal would be

38.50 = Principal × 2.2% × 30

So, the principal is $58.33

Now the interest for both the accounts are as follows

For account 1

= $20.83 × 3.2%

= $0.67

And, for the account 2

= $58.33 × 2.2%

= $1.28

As it can be seen that the account 2 has the highest interest

The same is to be considered

4 0
2 years ago
What is the product?<br> 3 x [-4 5 -7]
Dima020 [189]

Answer:65

Step-by-step explanation: So the answers would be 78 as well

3 0
3 years ago
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