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choli [55]
2 years ago
7

What values of a and b make this equation true?

Mathematics
1 answer:
Fynjy0 [20]2 years ago
5 0

Answer:

a = -4

b=-29

Step-by-step explanation:

<h3>Complex number:</h3>

First write the radicals in simplest form.

i² = -1

\sf (4 + \sqrt{-49}) -2\left(\sqrt{(-4)^2}+\sqrt{-324}\right)=4 + \sqrt{49i^2} - 2\left(\\\sqrt{16}+\sqrt{324i^2}\right)

                                                          \sf =4 + \sqrt{7*7*i*i}-2\left(\sqrt{4*4}+\sqrt{18*18*i*i}\right)\\\\= 4 + 7i - 2(4 + 18i)\\\\= 4 + 7i - 2*4 - 2*18i\\\\= 4 + 7i -8-36i\\\\= 4 - 8 +7i - 36i\\\\= -4 - 29i

   \sf \boxed{a = -4 }\\\\\boxed{b=-29}

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Anastasy [175]

Each straw is  4-1/8 inches long.
You have one gigantic piece of straw material, 123-3/4 inches long.
How many straws can you cut it up to make ?

 ===>                    (123-3/4)  divided by  (4-1/8)            straws.

Each one costs  $0.015  to make.
So, once you find the number of short straws you have,
multiply

===>                 (the number of short straws) x ($0.015) .

That'll tell you how much it costs to make all of them. 


Now you know how to do it on your own.
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6 0
3 years ago
Aida is making banners from a roll of paper that is 4.05 meters long. She will cut the paper into 3 equal lengths. How long will
Hunter-Best [27]
1.35 meters because 4.05 / 3 = 1.35
8 0
3 years ago
Helpppppppppppppp !!!
Artemon [7]

Answer:

a) 8

b) 2 1/4 hours

c) 4 7/8 hours

d) 4 1/8 hours

Step-by-step explanation:

a) LCD to be used to solve this problem is calculated as the Lowest common denominator of the above mixed fractions.

We have 1 1/2 hours and 1 1/8 hours

The lowest common denominator is the denominator calculated by

Multiplying the two denominators together and dividing by the common factor of the two denominators

Hence , we have

2 × 8 = 16

The common factor of 2 and 8 = 2

LCD = 16/2 = 8

b) How long did Matt drive?

We are told that Matt drove twice as long as John

John drove for 1 1/8 hours

Hence, the number of hours that Matt drove for =2 × 1 1/8

= 2 × 9/8 = 9/4 hours = 2 1/4 hours

c) How long the Sam, John and Matt drive ?

We are told in the question that

Sam drove for 1 1/2 hours

John drove for 1 1/8 hours

Matt drove for 2 1/4 hours

We would sum up the number of hours that each of them drove.

1 1/2 + 1 1/8 + 2 1/4

The Lowest common multiple of denominators is 8

= (1 + 1 + 2)( 4 + 1 +2/8)

= 4(7/8)

= 4 7/8 hours

d) How many hours is left for Bob to drive

We are told that the entire journey = 9 hours

The number of hours Sam, John and Matt drove for has been calculated in question c as 4 7/8 hours

The number of hours Bob will drive for is calculated as

9 hours - 4 7/8 hours

= 4 1/8 hours

6 0
3 years ago
64 + {40 ÷(4 - 7 + 8)} - 10 solve this clearly​
slega [8]

Answer:

62

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction

Step-by-step explanation:

<u>Step 1: Define expression</u>

64 + [40 ÷ (4 - 7 + 8)] - 10

<u>Step 2: Evaluate</u>

  1. Brackets - Parenthesis - Subtract:          64 + [40 ÷ (-3 + 8)] - 10
  2. Brackets - Parenthesis - Add:                 64 + [40 ÷ 5] - 10
  3. Brackets - Divide:                                    64 + 8 - 10
  4. Add:                                                          72 - 10
  5. Subtract:                                                   62

And we have our final answer!

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3 years ago
10m + 12p - 8m - p<br> combine like terms to simplify expressions.
vladimir2022 [97]

Answer:

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Step-by-step explanation:

10m - 8m = 2m

12p - p = 11p!

So Overall it would be

= 11p + 2m

5 0
3 years ago
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