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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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erik [133]

2^3
——
3^3

............

8 0

2 years ago

Which set of ordered pairs is NOT a function? {(0,0), (1,1), (2,2), (3,3)} {(1,2), (3,4), (4,5), (5,6)} {(4,1), (5,1), (6,1), (7

vovikov84 [41]

Do you not have a graph to go with it?

4 0

2 years ago

The sum of a number and its square is 182. Find the number.

Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

$\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $\frac{-b-\sqrt{b^2-4ac} }{2a}$

a = 1, b = 1, c = -182

$\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}$ or $\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}$

$\frac{-1+\sqrt{1+728} }{2}$ or $\frac{-1-\sqrt{1+728} }{2}$

$\frac{-1+\sqrt{729} }{2}$ or $\frac{-1-\sqrt{729} }{2}$

$\frac{-1+{27} }{2}$ or $\frac{-1-{27} }{2}$

$\frac{26}{2}$ or $\frac{-28}{2}$

13 or - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0

3 years ago

Answer this just tell me the color

dem82 [27]

Answer:

yellow

Step-by-step explanation:

6 0

3 years ago

Shannon earned $12.75 per hour plus an additional $100 in tips waiting tables on Saturday evening. She earned $235 in all. To th

ValentinkaMS [17]

Answer:

The least number of hours that she would have to work is 11.

Step-by-step explanation:

First, make the equation be "12.75x +100=235". Then, subtract 10 from both sides of the equation. You would get

"12.75x= 135". Then, divide both sides of the equation by 12. 75x, and the equation turns out to say, "x=10.59".

8 0

3 years ago