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zysi [14]
3 years ago
12

Which expression is equivalent to 4+5i•(2-7i)?

Mathematics
1 answer:
Westkost [7]3 years ago
5 0

Answer:

(4 + 5i)(2 - 7i) = 8 - 28i + 10i + 35

= 43 - 18i

4 + 5i(2 - 7i) = 4 + 10i + 35

= 39 + 10i

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Use the perfect square method <br> (3x + 3)^2 = 36
kkurt [141]

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

x = -3

Collect all solutions;

<u>x = 1, -3</u>

8 0
3 years ago
Quadrilateral ABCD is a rectangle. If AE = 36 and CE = 2x - 4, find x.<br> B<br> E<br> А.<br> D
krek1111 [17]

The value of the x is 20 if the quadrilateral ABCD is a rectangle and  AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We know that the diagonal of the rectangle bisect each other.

AE = CE

36 = 2x - 4

2x = 40

x = 20

Thus, the value of the x is 20 if the quadrilateral ABCD is a rectangle and  AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

8 0
2 years ago
In Juan's coin bank there are nickels (n),
alukav5142 [94]

Answer:

The answer is 8 quarters, 16 nickles, and 32 dimes

Step-by-step explanation:

  1. First, the equation would be (2/4d) x 5 +d x 10 +1/4d x 25= 600 (Don't put 6.00, that's dollars. We put 6 dollars into cents to make it easier.)
  2. Then we slowly start to solve: 10/4d + 10d + 25/4d = 600
  3. 10d+40d+25d/4 = 600 (Put all of that over 4, not first 25d)
  4. 75d= 600 x 4
  5. d=600 x 4/75 (same here put everything over 75)
  6. d=32
  7. So then n= 2 x 32/4 = 16
  8. Then n would be equal to : 1/4d= 1/4 x 32 = 8
  9. So your answer would be 8 quarters, 16 nickles, and 32 dimes.

Hope this helped :)

5 0
3 years ago
295 times 67 long multiplication
Fittoniya [83]
19,765 but couldnt u just use a calculator??
8 0
3 years ago
Read 2 more answers
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a
stealth61 [152]

Answer:

16 tiles

Step-by-step explanation:

Divide 4 by 1/4 to get your answer.

This is the same as multiplying 4 by the inverse of 1/4 (which is 4/1 a.k.a 4)

4 * 4 = 16

16 tiles will fit end-to-end along a 4-foot wall.

8 0
3 years ago
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