Find: 11/3 ÷ 2/3
The quotient is 5 and ?

The answer is 64. Length × Width

Answer:

(6, 6)

Step-by-step explanation:

    Point P is located at (6, -4). Point S is located 10 units above point P. This means we are going up on the y-axis. Going up 10 units from -4 puts point S at 6. Therefore, point S is located at (6, 6).

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

[tex] \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }[/tex]

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

[tex] \displaystyle \large{ {a}^{2} = a \times a = |b| }[/tex]

Where b is the result from a×a. Let's see an example.

Examples

[tex] \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}[/tex]

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

[tex] \displaystyle \large{ {y}^{2} = - 1}[/tex]

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

[tex] \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }[/tex]

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

[tex] \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }[/tex]

Solving absolute value always gives the plus-minus. Therefore...

[tex] \displaystyle \large{ y = \pm \sqrt{ - 1} }[/tex]

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

[tex] \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }[/tex]

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

Answer:

Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]

Step-by-step explanation:

[tex]\sqrt{-1} \\[/tex] cannot be calculated as no two identical numbers that are multiplid could give -1. However - [tex]\sqrt{1}[/tex] means -1 x [tex]\sqrt{1}[/tex] = -1 x 1 = -1 . Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]

Answer:

485 × [tex]10^{-10}[/tex]

Step-by-step explanation:

first we need to convert the number to fraction

0.0000000485

[tex]\frac{0.0000000485}{10000000000}[/tex]

it will be

[tex]\frac{485}{10000000000}[/tex]

or can be written as

[tex]\frac{485}{10^{10} }[/tex]

now we need to convert it to scientific notation

485 × [tex]10^{-10}[/tex]

Answer: 3(x+3) = 3X + 3(x-1)

3x + 9 = 3x + 3x - 3

3x + 9 = 6x - 3

0 = 6x - 3 - 3x - 9

0 = 3x - 12

12 = 3x

x=4

Step-by-step explanation:

Step-by-step explanation:

in order of the chart they are in axis number:

3

3

2

2

4

1

4

3

Answer:

15+24t

Step-by-step explanation:

First, I copied the expression down. Then, I used PEMDAS, so I multiplied 5x3. That left 15 + t(24). I just gave the variable to 24, making 24 t's coefficient. So, the simplified answer would be 15 + 24t.

Answer: Therefore,

1 + (-5/8)

Solve it,

= 1-(5/8)

= (8-5)/8

= 3/8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Its the best possible answer

Answer:

C

Step-by-step explanation:

The answer is C. All you need to do is check each graph and see if (0,45) (1,70) (2,95) (3,120) are plotted on the graph correctly. And C is correct because each point is plotted on there correctly.

Answer:

245 = 5*7*7

510 = 3*17*2*5

250 = 5*5*5*2

1089 = 3*3*11*11

4725 = 3*3*3*5*5*7

900 = 3*3*5*5*2*2

27000 = 3*3*3*5*5*5*2*2*2

Answer:

It's the 4th graph on the 1st sheet

Step-by-step explanation:

Answer:

y = 3x + 5

Step-by-step explanation:

Based on the table, as x increases by 1, y increases by 3. Moreover, when x = 0, y = 5. Therefore, the slope is 3 and the y-intercept is (0, 5).

Substitute the information for the variables in the slope-intercept form equation.

y = mx + b

Answer:

y=3x +5

Step-by-step explanation:

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

Answer:

C. -4 degrees celsius

Step-by-step explanation:

Answer:

-4 degrees celsius

Step-by-step explanation:

you can see that there are 5 tiny lines between 0 and -10 so that must mean that 10 divided by 5 = 2. so each gap is equal to 2 degrees celsius. that means that the red liquid is upto the -4 point

□X

□X

□V

□V

□X

□V

Answer:

D. [tex]\frac{2}{5}[/tex]

C. 37.5

Step-by-step explanation:

29: Divide 2 by 5.

30: Just divide.

I hope this helps!  

pls ❤ and mark brainliest pls!

Answer:

b is the correct answer

Step-by-step explanation:

(ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8.Cube roots of negative numbers are always negative.

See the images. I hope it will help you.

Answer:

(85+92+88+98)/4

Step-by-step explanation:

No equal sign because it is a numerical expression.

Answer:

x+%Y = 7

Step-by-step explanation:

&.x 1 +1223 +23888 +667x228833 .7%/11 =7

Answer:

h = S/(2 π r) - r

Step-by-step explanation:

Solve for h:

S = 2 π r (r + h)

S = 2 π r (r + h) is equivalent to 2 π r (r + h) = S:

2 π r (r + h) = S

Divide both sides by 2 π r:

r + h = S/(2 π r)

Subtract r from both sides:

Answer: h = S/(2 π r) - r

Answer:

h=s/(2 π r) -r

Step-by-step explanation:

Answer: 18

Step-by-step explanation: -8,2 is 18 away from 10,2 because -8 is 18 away from 10

Answer:

sure

Step-by-step explanation:

dhdhdhdhdjdrjdhdhhdj

Answer:

43in

Step-by-step explanation:

Perimeter = sum of the sides

Perimeter = 11 + 10 + 10 + 12 = 43

Answer:

1/3 of all of the books

Step-by-step explanation:

5/5 - (2/5 +1/5) =2/5

2/5(1/3) = 2/15 nonfiction mystery books

2/15 + 1/5 = mystery books

1/5 = 3/15

2/15 + 3/15 = 5/15

5/15 = 1/3

Answer:   calculdora

5 (x +) + 11 = 25-3x adicionar trabalho

Step-by-step explana

Answer:

125 10/14

Step-by-step explanation:

the 125 doesn't actually matter so you can ignore that part.

since it is being divided by 14, the denominator of the fraction is 14. the remainder is 10, so the answer should be in the form of x 10/14, which the 1st answer is

Answer:

Answer Is B

for every table there 14 napkins