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elixir [45]
3 years ago
15

Multiply (2 -10i) (-5 + 3i) Show each step for credit!

Mathematics
1 answer:
jonny [76]3 years ago
5 0

Answer:

The answer is

<h2>20 + 56i</h2>

Step-by-step explanation:

(2 -10i) (-5 + 3i)

Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>

That's

2(-5) + 2(3i) - 10i(-5) - 10i(3i)

<u>Multiply the numbers and simplify</u>

We have

- 10 + 6i + 50i - 30i²

From the rules of imaginary numbers

<h3>i² = - 1</h3>

So we have

- 10 + 56i - 30(- 1)

- 10 + 56i + 30

Simplify

30 - 10 + 56i

We have the final answer as

<h3>20 + 56i</h3>

Hope this helps you

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Please help me with this i need help she is gonna call my mom again!!!​
telo118 [61]

Answer:

1. 15

2. -23

3. -16

Step-by-step explanation:

1. Find h(-8)

h(t) = \frac{5}{4}(4 - t)

h(-8) = \frac{5}{4}(4 -(-8))

h(-8) = \frac{5}{4}(4+8) =\frac{5}{4}(12)=5(3)=15

2. What is the value of g(-3)

g(x) = 4(x - 5) + x^{2}

g(-3) = 4(-3 - 5) -3^{2}

g(-3) = 4(-8) + 9

g(-3) = -32 + 9

g(-3) = -23

3. Find f(10)

f(x) = 14 - 3x

f(10) = 14 - 3(10)

f(10) = 14 - 30

f(10) = -16

7 0
3 years ago
Read 2 more answers
What is the measure of y?
Ilya [14]

Answer:

=8

Step-by-step explanation:

=4, =16 =?

16-4=8⇚

=8

6 0
3 years ago
Perimeter of a rectangular sticker is 26 centimeters. The area is 30 centimeters. What are the dimensions?
Vedmedyk [2.9K]

\tt\it\bf\it\huge\bm{\mathfrak{{\red{hello*mate♡}}}}

\tt\it\bf\huge\it\bm{\mathcal{\fcolorbox{blue}{yellow}{\red{ANSWER==>}}}}

_______________________________

<h2>Given:-</h2>

<h3>perimeter of rectangle=26cm</h3>

<h3>Area of rectangle=>30cm²</h3>

<h3>{•°• perimeter of rectangle=2(l+b) }</h3>

<h3>{•°•. Area of rectangle=lxb}</h3>

<h3>So, 2(l+b)=26</h3><h3> =>(l+b)=26/2</h3><h3> =>l+b=13</h3><h3> =>l=(13-b) ----------(1)</h3>

<h3>Again,</h3>

<h3> =>lxb=30</h3><h3> =>(13-b)xb=30 {putting the value of l from equation 1}</h3><h3> </h3><h3> =>13b-b²=30</h3><h3> =>b²-13b+30=0</h3><h3> =>b²-10b-3b +30=0</h3><h3> =>b(b-10)-3(b-10)=0</h3><h3> =>(b-10)(b-3)=0</h3><h3> </h3><h3>or,</h3>

<h3> =>b=10 or b=3</h3>

<h3>putting the value of b in equation (1)</h3>

<h3> =>l=(13-b)</h3><h3> =>l=13-10=3 { taking b=10}</h3><h3> =>l=13-3=10 { taking b=3}</h3>

<h3>Hence, length=3 when breadth=10</h3><h3> length=10 when breadth=3</h3>

<h3>•take care</h3><h3>°mark as brainlist please</h3><h3>•follow me</h3>

✌️✌️

_______________________________

\tt\it\bf\huge\it\bm{\mathcal{\fcolorbox{blue}{yellow}{\red{BE-BRAINLY !}}}}

5 0
3 years ago
How many solutions does 5 - 2x = 3 + x-4- 3x have?
aev [14]

Answer:

C.

Step-by-step explanation:

just took the test

6 0
3 years ago
Read 2 more answers
You need 450 mL of a 65% alcohol solution. On hand, you have a 10% alcohol mixture. How much of the 10% alcohol mixture and pure
NARA [144]

You will need 292.5 mL of the 10% solution and 2925 mL of pure alcohol.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

You require 450 mL of a 65% alcohol solution.

On hand, you have a 10% alcohol mixture.

Then the amount of the 10% alcohol mixture and pure alcohol that you need to obtain the desired solution will be

Let x be the amount of the 10% of alcohol is needed.

Then the equation will be

⇒ 450 · 0.65

⇒ 292.5 mL pure alcohol

Then the alcohol mixture will be

0.1x = 292.5

    x = 2925 mL of alcohol mixture

You will need 292.5 mL of the 10% solution and 2925 mL of pure alcohol.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

5 0
2 years ago
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