What represents 60=5 x 12?

Answer:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2+9[/tex]

[tex](x-4\mathbf{i})(x+4\mathbf{i})=x^2+16[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=x^2+64[/tex]

Step-by-step explanation:

Complex Numbers

The complex numbers are known by having an 'imaginary' part along with the real part. They can be expressed like a + bi, where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

Or, equivalently:

[tex]\mathbf{i}^2=-1[/tex]

Let's find the result of the following products. On each one of them, there is a sum of a binomial multiplied by the subtraction of a binomial with the very same terms. It leads to a well-known polynomial identity:

[tex](a+b)(a-b)=a^2-b^2[/tex]

1. [tex](x+3\mathbf{i})(x-3\mathbf{i})[/tex]

Applying the above-mentioned identity:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=(x^2-(3\mathbf{i})^2)[/tex]

[tex]=x^2-9\mathbf{i}^2[/tex]

Since [tex]\mathbf{i}^2=-1[/tex]

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2-9(-1)[/tex]

[tex]=x^2+9[/tex]

2. [tex](x-4\mathbf{i})(x+4\mathbf{i})[/tex]

Proceed in the same way as before:

[tex](x-4\mathbf{i})(x+4\mathbf{i})=(x^2-16\mathbf{i}^2)[/tex]

[tex]=(x^2-16(-1))[/tex]

[tex]=x^2+16[/tex]

3. [tex](x+8\mathbf{i})(x-8\mathbf{i})[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=(x^2-64\mathbf{i}^2)[/tex]

[tex]=(x^2-64(-1))[/tex]

[tex]=x^2+64[/tex]

Answer:

They are all in simplest form. Is that what you mean?

change in y/change in x

y2-y1/x2-x1

-1--5/0-2

-1+5/-2

4/-2

-2

slope is -2

now take one ordered pair and plug it into the equation (for this example i will use the SECOND ordered pair

y = -2x +b

-1 = -2(0)+b

-1 = b

the equation is

Answer:

Step-by-step explanation:

5.

a+2=b

b-5=c

c-3=d

d+4=e

e=2-5-3+4

e=-2 (a loss of 2 yards)

6.

-2+2.5=0.5

Answer:

7/12 or in decimal form it is .583

Step-by-step explanation:

Please mark brainliest!

hope this helps!

Answer:

If your question is [tex]\sqrt{80}[/tex], your answer is 8.94 or [tex]4\sqrt{5}[/tex]

Hope this helps!

Answer:

78

Step-by-step explanation:

Answer:

f(x)= -2

Step-by-step explanation:

f(x) = x^2- 51

        -7^2-51

          49-51

            -2

f(x)= -2

Answer:

Option C

Step-by-step explanation:

[tex]-3(-1)+15=18\\\\3 + 15 = 18\\\\\boxed{18=18}[/tex]

Option C is the correct answer.

Hope this helps.

For the value of x = - 1, the correct equation is,

⇒ - 3x + 15 = 18

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The value of x is,

⇒ x = - 1

Now, Substitute the value of x in all equations and check the correct equation.

For equation 3;

⇒ - 3x + 15 = 18

Substitute x = - 1 ;

⇒ -3×-1 + 15 = 18

⇒ 3 + 15 = 18

⇒ 18 = 18

Thus, The correct equation is,

⇒ - 3x + 15 = 18

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

4 1/24

Step-by-step explanation:

1 2/3 +2 3/8 = 5/3 +2 3/8 = 5/3 + 19/8 = 97/ 24 =4 1/24

Answer:

If x is 55, z is also 55. Now subtract, and boom! you get 15 degrees

Step-by-step explanation:

I think the whole triangle is 125* total, and has three sides, one smaller than the rest. Hope this helps!

Answer:25,36,49

Step-by-step explanation:

Answer:

Step-by-step explanation:

1  ,  4  ,  9  ,  16  ,  25  ,  36  ,  49

1 +  3  +  5 + 7  + 9  +  11  + 13  = ↑

Hope this helps! <3

Answer:

answers in PDF

Step-by-step explanation:

Answer:

Length = 11.2 ft

Step-by-step explanation:

Area of a square garden = 125 square feet

Formula to find

Area of a square = length^2

Substitute the value of the Area of the square garden

Area of a square = length^2

125 = length^2

Find the square root of both sides

√125 = √length^2

11.18 = length

Approximately

Length = 11.2 ft

Answer:

they are the same thing

Step-by-step explanation:

Answer:

They are practically the same thing but if you want to get technical then they are related because A slope  a measure of steepness. A line with a large slope, such as 25, is very steep. A  line with a small slope, such as 1 /10 is very flat. So this means it will rise over run if that makes sense.

Hope this helps!

Answer:

You have written 26 pages in total.

Step-by-step explanation:

I always enjoyed adding fractions. Something about it is so... simple.

The problem is basically asking us to add 20 1/2 and 5 1/2 together.

I would first suggest adding both halves together, to make 1.

That way, we're left with 20 + 5 + 1. That seem easier, doesn't it?

Then we would add 20, 5 and 1 together, to get 26 whole pages.

And that, to an extent, is how I did it.

Hope this helps! :D

Answer:

Given:

Written pages for Act 1 = 20 1/2

Written pages for Act 2 = 5 1/2

For making mixed numbers like this easier to add, let's convert them first into an irrational number with this formula,

((Whole Number × Denominator) + Numerator)/Denominator

Thus,

for 20 1/2

((20 × 2) + 1)/2 = 41/2

for 5 1/2

((5 × 2) + 1)/2 = 11/2

Then we add,

41/2 + 11/2

Since, they have the same denominator, no more conversions need, proceed adding the numerators,

(41 + 11)/2 = 52/2 = 26

You've written 26 pages in total.

Answer:

-9, -7, -5, -3, -1

Answer:

4 pounds of mac 3 pounds of potato

Step-by-step explanation:

5+6=11+5+6=22+5+6=33+5=38

Answer:

a) line [EA]

b) line [HA]

Step-by-step explanation:

Answer:

a) line(EA)

b) line(HA)

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

The general form of linear functions are y = mx+b. Here, m is the slope and b is the y intercept. Therefore we can already see that m = 8/9 as the question is already in the general form y = mx+b.

Answer:

8*x+16-(8*x-16)=0

Step-by-step explanation:

Solve :    32   =  0

This equation has no solution.

A. a non-zero constant never equals zero.

Hope this helps! Please mark Brainliest!

Answer:

18

Step-by-step explanation:

Answer:

72773100000%

Step-by-step explanation:

"Percent" means "per 100" or "over 100". So, to convert 727731000 to percent we rewrite 727731000 in terms of "per 100" or over 100.

Multiply 727731000 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

7277310001×100100=72773100000100

72773100000/100 is 72773100000 over 100 and means 72773100000 per 100. 72773100000 "per 100" means 72773100000 "percent" or 72773100000%

Therefore, we have shown that

727731000 = 72773100000%

Simplified Conversion:

Multiply by 100 and add the percent sign %

727731000 × 100 becomes 72773100000%

Shortcut Conversion:

Move the decimal point 2 places to the right and add the percent sign %

727731000 becomes 72773100000%

Answer:

Step-by-step explanation:

Let

Price of

Hotdogs = x

Sodas = y

Candy bar = z

Smith family

Hotdogs = 3

Sodas = 2

Candy bar = 1

Total cost = $16.50

3x + 2y + z = 16.50

Patterson family

Hotdogs = 4

Sodas = 4

Candy bar = 2

Total = $26

4x + 4y + 2z = 26

Nguyen family

Hotdogs = 2

Sodas = 1

Candy bar = 3

Total cost = $13.75

2x + y + 3z = 13.75

The equations

3x + 2y + z = 16.50 (1)

4x + 4y + 2z = 26 (2)

2x + y + 3z = 13.75 (3)

Multiply (1) by -2

-2(3x + 2y + z = 16.50)

-6x - 4y - 2z = -33

-6x - 4y - 2z = -33 (1a)

4x + 4y + 2z = 26 (2)

Add (1a) and (2)

-6x + 4x = -33 + 26

- 2x = -7

x = -7/-2

= 3.5

x = $3.5

Multiply (3) by -4

-4(2x + y + 3z = 13.75) (3)

-8x - 4y - 12z = -55 (3a)

Add (3a) and (2)

-8x - 4y - 12z = -55 (3a)

4x + 4y + 2z = 26 (2)

-8x + 4x -12z + 2z = -55 + 36

-4x - 10z = -29

Substitute the value of x into

-4x - 10z = -29

-4(3.5) - 10z = -29

-14 - 10z = -29

-10z = -29 + 14

-10z = - 15

z = -15 / - 10

= 1.5

z = $1.5

Substitute values of x and z into (1)

3x + 2y + z = 16.50

3(3.5) + 2y + 1.5 = 16.50

10.5 + 2y + 1.5 = 16.50

12 + 2y = 16.50

2y = 16.50 - 12

2y = 4.50

y = 4.50 / 2

y = $2.25

Answer:

no

Step-by-step explanation:

Answer:

1.5t+2=4 and 2/3

1.5t=2 and 2/3

t= 1 and 7/9

Answer:

umm 1500? hmqmmmmmm

ye