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3 years ago

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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There are 3 meters from A to B, 22 meters from B to C, 5 meters from C to D, and 7 meters from D to E. What is the distance from

notka56 [123]

17m

Because horizontal distance is 8m, vertical distance is 15m
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2 years ago

Simplify 4 to the 7th over 5 squared all raised to the 3rd power

alisha [4.7K]

<h2>Answer:</h2>

$\left(\frac{4^{21}}{5^6}\right)$

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

$4^7$

<u>5 squared:</u>

$5^2$

<u>4 to the 7th over 5 squared:</u>

$\frac{4^7}{5^2}$

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u> $\left(\frac{4^7}{5^2}\right)^3$ </u>

Using the law of exponents:

$\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)$

Finally, the answer is 4 to the 21st over 5 to the 6th.

8 0

3 years ago

Read 2 more answers

The equation of a line is 4x+y=13 solve the equation for y

Salsk061 [2.6K]

Answer:

y = 13 - 4x

Why?

4y +y = 13

Subtract 4x from both sides

4x+y-4x = 13 - 4x

Simplify

Y= 13 - 4x

Have a good day

3 0

3 years ago

4√6 •√3 how do I show work for this because the answer is 2√12

Yuliya22 [10]

Answer:

$4 \sqrt{6} \times \sqrt{3} = 12 \sqrt{2}$

Step-by-step explanation:

We want to simplify the radical expression:

$4 \sqrt{6} \times \sqrt{3}$

We write √6 as √(2*3).

This implies that:

$4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2 \times 3} \times \sqrt{3}$

We now split the radical for √(2*3) to get:

$4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times \sqrt{3} \times \sqrt{3}$

We obtain a perfect square at the far right.

$4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times (\sqrt{3} )^{2}$

This simplifies to

$4 \sqrt{6} \times \sqrt{3} = 4 \sqrt{2} \times 3$

This gives us:

$4 \sqrt{6} \times \sqrt{3} = 4 \times 3 \sqrt{2}$

and finally, we have:

$4 \sqrt{6} \times \sqrt{3} = 12 \sqrt{2}$

5 0

2 years ago

Can somebody please help me

a_sh-v [17]

Answer:

Step-by-step explanation:it’s number 4

8 0

2 years ago

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