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Natasha_Volkova [10]
3 years ago
7

What is the standard form of (7-5i)(2+3i)? A.-29+11i B.29+11i C. 11-29i D.-11+29i

Mathematics
2 answers:
pentagon [3]3 years ago
7 0

Answer:

B) 29 + 11i.

Step-by-step explanation:

Given : (7-5i)(2+3i).

To find : What is the standard form .

Solution : We have given  (7-5i)(2+3i).

Distributes 7 over (2+3i) and 5i over (2+3i).

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

14 + 21i - 10 i - 15 i².

Combine like terms.

i² = -1.

14 + 21i -10i - 15(-1).

14 + 11i + 15.

14 + 15 + 11 i.

29 + 11i.

Therefore, B) 29 + 11i.

Lubov Fominskaja [6]3 years ago
5 0
It might be the last one but I don't know
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A man bought a cow and a horse for $500. He sold the cow at a profit of 10% and the horse at a loss of 10% and suffered a loss o
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Answer:

<em>The man paid $200 for the cow</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = price of the cow

y = price of the horse

The man bought the cow and the horse for $500, thus

x + y = 500        [1]

The cow was sold at a profit of 10%, thus:

Sale price of the cow= 1.1x

The horse was sold at a loss of 10%, thus:

Sale price of the horse= 0.9y

The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:

1.1x + 0.9y = 490        [2]

From [1]:

y = 500 - x

Substituting in [2]:

1.1x + 0.9(500 - x) = 490

Operating:

1.1x + 450 - 0.9x = 490

0.2x = 490 - 450 = 40

x = 40/0.2

x = 200

The man paid $200 for the cow

3 0
3 years ago
Jada was using square stickers that were 3/4in long to decorate the spine of a photo album. The spine is 10 and 1/2in long. If s
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Answer:

13

Step-by-step explanation:

Given:

  1. Square stickers that were 3/4 in long
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If she laid the stickers side by side without gaps or overlaps so the number of sticker to cover the length of the spine:

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She needs 13 stickers cover the length of the spine

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