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yan [13]
3 years ago
7

Simplify (10 + 3i)(5 – 2i) ...?

Mathematics
2 answers:
iogann1982 [59]3 years ago
6 0
(10+3i)(5-2i)
30i=50-20i
50i=50
i=1

maybe
Fiesta28 [93]3 years ago
3 0

Answer:

56-5i

Step-by-step explanation:

Given are two complex numbers

10+3i and 5-2i

We are to find its product

Let us use foil method to multiply these two binomials.

(10+3i)(5-2i)\\=50+15i-20i-6i^2\\

Use the fact that i square =-1

We get product

= 50-5i+6\\=56-5i

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Round 8,764 to the nearest hundred
Zigmanuir [339]

Answer: 8,800

Step-by-step explanation:

Since the hundredth place is 764 we will round up to 800

which will give you 8,800!

Tip: Rounding the number up only takes place if the last two digits in the number are 50 or above.

If not, Round down if the last two digits in the number are 49 or below.

IF the last digits are 00 no rounding takes place.

5 0
2 years ago
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Ky wants to buy three shirts, which were originally priced at $49.96 each. The store will discount the price of the 3rd shirt by
frozen [14]

9514 1404 393

Answer:

  $44.49

Step-by-step explanation:

The total cost before tax will be ...

  $49.96 +49.96 + 0.50(49.96) = $124.90

With tax added, the cost is ...

  $124.90 × 1.071 = $133.77

Then the average cost per shirt for the 3 shirts is ...

  $133.77/3 = $44.59

The mean cost of a shirt is $44.59.

5 0
2 years ago
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Dan bought five new baseball trading cards to add to his collection .The next day his dog ate half of his collection .There are
AleksandrR [38]

-- After dog ate 1/2 of the collection, there were 29 remaining.

-- Just before dog came along, there were (2 x 29) = 58 cards.

-- That was after Dan added 5 new ones.

-- Before he added the 5 new ones, there were (58 - 5) = 53 cards.

-- When this story began, Dan had <em>53 cards</em>.


8 0
3 years ago
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The answer to: expand and simplify 3x + 2 (x +5)
BARSIC [14]
Expanded: 3x^2 + 17x +10
Simply: it’s already simplified
4 0
3 years ago
Ok need help this is the question :Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.
IRINA_888 [86]

Answer:

<em>Jane traveled 8 miles farther then her trainer</em>

Step-by-step explanation:

<u>The Pythagora's Theorem</u>

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

c^2=a^2+b^2

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.

Her total distance traveled is 16 + 12 = 28 miles

Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.

We can calculate the length of his route as:

c=\sqrt{16^2+12^2}

c=\sqrt{256+144}=\sqrt{400}=20

c = 20 miles

The difference between their traveled lengths is 28 - 20 = 8 miles

Jane traveled 8 miles farther then her trainer

8 0
3 years ago
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