2. Consider the division operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
Irrational
O
O
Flá na por laskas
5
16
o
o

Answer:

2.99 meters

Step-by-step explanation:

Answer:

[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]

Or:

[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) - i(x +y)[/tex]

And we want to find the values of x and y such that the equation is true.

First, distribute:

[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) +i(-x -y)[/tex]

If two complex numbers are equivalent, their real and imaginary parts are equivalent. Hence:

[tex]\displaystyle x^2 + 2xy = x^2 - 2x +2y \text{ and } y - 1 = -x -y[/tex]

Simplify:

[tex]\displaystyle 2xy = -2x +2y \text{ and }x = 1 - 2y[/tex]

Substitute:

[tex]\displaystyle 2(1-2y)y = -2(1-2y) + 2y[/tex]

Solve for y:

[tex]\displaystyle \begin{aligned} 2(y - 2y^2) &= (-2 + 4y) + 2y \\ 2y - 4y^2 &= 6y -2\\ 4y^2 + 4y - 2& = 0 \\ 2y^2 + 2y - 1 &= 0 \\ \end{aligned}[/tex]

From the quadratic formula:

[tex]\displaystyle \begin{aligned} y &= \frac{-(2)\pm\sqrt{(2)^2 - 4(2)(-1)}}{2(2)} \\ \\ &= \frac{-2\pm\sqrt{12}}{4} \\ \\ &= \frac{-2\pm2\sqrt{3}}{4}\\ \\ &= \frac{-1\pm\sqrt{3}}{2} \end{aligned}[/tex]

Hence:

[tex]\displaystyle y_1 = \frac{-1+\sqrt{3}}{2} \text{ or } y_2 = \frac{-1-\sqrt{3}}{2}[/tex]

Then:

[tex]\displaystyle x _ 1 = 1 - 2\left(\frac{-1+\sqrt{3}}{2}\right) = 1 + (1 - \sqrt{3}) = 2 - \sqrt{3}[/tex]

And:

[tex]\displaystyle x _ 2 = 1 - 2\left(\frac{-1-\sqrt{3}}{2}\right) = 1 + (1 + \sqrt{3}) = 2 + \sqrt{3}[/tex]

In conclusion, the values of x and y are:

[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]

Or:

[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]

Answer:

the answer is 150

Step-by-step explanation:

you will do cross multiplication where 3 will multiply 50 and 15 will multiply 10. u will get 150=150

Answer:

C: 249

Step-by-step explanation:

208,164/836 = 249

Answer:

i had given detailed solution mark me brainliest.

thank you

Answer:

250 miles

69 dollars

Step-by-step explanation:

Plan 1

44+.10m

Plan 2

49 +.08m

Set the two plans equal

44+.10m = 49 +.08m

Subtract .08m from each side

44+.10m - .08m = 49 +.08m-.08m

44+.02m = 49

Subtract 44 from each side

44 +.02m-44 = 49-44

.02m = 5

Divide each side by .02

.02m/.02 = 5/.02

m = 250

The cost is 44 +.10(250)

                  44 +25

                    69

Answer:

answer is -20

BODMAS

So we do addition First, then subtraction so 7+15 = 22

2- 22= -20

Answer:

13.8

Step-by-step explanation:

His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.

Dive = platform + under the surface

Dive = 10 + 3.8

Dive = 13.8

Answer

y=−3/5x−23/5

given the slope m of a line then the slope of a line

perpendicular to it is

Answer:

y= 1/2x + b

Step-by-step explanation:

Answer:

6(3) - 4 - 3²

Step-by-step explanation:

(g - f) = 6x - (4 - 2x²)

= 6x - 4 - 2x²

and when we replace x with 3 ,it will be

6(3) - 4 - 3²

hope this helps

Answer:

Basically what the person on top of me said

Step-by-step explanation:

Got it right !

Answer:

5.08 cm, or 5 cm if you round it

Step-by-step explanation:

2.54 cm = 1 in

2.54 x 2 = 5.08

Perimeter = Sum of all sides

Sides of triangle are

Now , Calculating perimeter

Perimeter = 9 + 12 + 15

Perimeter = 36 in

Answer:

P = 36 in

Step-by-step explanation:

A+B+C=P

So A would be 9,B would be 12, And C would be 15 add that all up and you get 36.

9514 1404 393

Answer:

  a. -18

  b. 87

  c. -10

  d. 26

Step-by-step explanation:

For evaluating functions with different arguments, I find a calculator to be helpful.

__

If you want to do this by hand, put the argument value where the variable is and do the arithmetic. It is helpful to know that

   [tex](f\circ g)(x)=f(g(x))[/tex]

__

For example, ...

a. f(g(0)) = f(-3(0) -4) = f(-4) = 5(-4) +2 = -18

9514 1404 393

Answer:

  g(f(4)) = 9

Step-by-step explanation:

Put the argument value where the variable is and do the arithmetic.

  g(f(4)) = g(4 -7) = g(-3) = (-3)^2

  g(f(4)) = 9

Answer:

1. roughly symmetric

2. skewed to the right

3. greater than

Step-by-step explanation:

correct on edge 2021 :)

1. The distribution of fuel economy for Honda is roughly symmetric vand for Ford is skewed to the right. and 3. Fuel economy for Honda tends to be greater than the fuel economy for Ford.

Shape: The distribution of fuel economy for Honda is roughly symmetric vand for Ford is skewed to the right.

Outliers: There appears to be an outlier of 47 mpg for Honda. There appears to be an outlier of 40 mpg for Ford

Center: Fuel economy for Honda tends to be greater than the fuel economy for Ford.

Variability: Fuel economy for Honda varies about the same as the fuel economy for Ford.

Learn more about Fuel economy here;

https://brainly.com/question/24212851

#SPJ2

Answer:

He got $25 in change.

Step-by-step explanation:

Suppose the balance amount is x.

The cost of 3 pants is 3 × 25 = 75

John paid = $ 100

x = 100 – 75

x =  25

Answer:25

Step-by-step explanation:

25×3=75 then you subtract 100-75=25

Answer:

The last step is to simplify the result if it can be done. To simplify a fraction, you have to find the greatest common factor (GCF) of both the numerator and the denominator. The GCF is the largest number that can be evenly divided into both numbers. In the case of 12 and 96, 12 happens to evenly divide into 96.

9514 1404 393

Answer:

  D. -140 ft

Step-by-step explanation:

Lengths cannot be negative, so -140 cannot be a distance walked.

__

Additional comment

Relative to some reference point and direction, a position can be described as positive or negative. However, the distance from that point to the reference point will always be positive.

Answer:

3x-(2x+4)+5

-(2x +4)

 -2x-4

=3x-2x-4+5

=x+1

Step-by-step explanation:

hope that helps>3

whats the full question?

Answer:

AB slope= 4/5

CD slope= - 5/4

Step-by-step explanation:

AB: (0,-1) (5,3)

Slope= (3- -1)/(5-0) = 4/5

CD: (2,3) (6,-2)

CD slope= (-2-3)/(6-2) = -5/4

Answer:

8%

Step-by-step explanation:

(2376-2200):2200x100%=8%

Answer:

420

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

about 5.10 by 10.20 inches

Step-by-step explanation:

You can substitute the width for "x"

This would make the length 2x as it is two times the width

Area in a rectangle is Length times Width, so in this case it would be 2x * x

It gives you the area as 52 inches, so you can substitute this in the equation making it 52 = 2x^2

divide by two on both sides: 26 = x^2

take the square root of both sides, and x is 5.0999

Now to find the length, just double it, which rounds out to 10.20

5.0999 rounds to the hundredth as 5.10

so for dimensions you have 5.10 by 10.20

Answer:

D.

Answer: - 29/8

Step-by-step explanation:

9 + 8c < - 20

8c < - 20 - 9

8c < - 29

c < - 29/8

Answer:

give this other guy or girl branliest

Step-by-step explanation:

First a definition:

A given set is closed under a given operation if, for any given pair of elements of the set under that operation, the outcome also belongs to the set.

With this, we will find that the set of integer numbers is not closed under division.

Now let's be more clear.

The definition particularly means that a set is closed under division only if for any pair of elements of the set, the division of these elements also does belong to the set.

Here we want to see if the set of integers is closed under division. To see that this is false, we just need to find a counterexample.

This is, finding a pair of integer numbers that have a quotient that is not an integer.

A really simple example is:

1 and 2.

2/1 = 2 is integer.

but

1/2 = 0.5 is not integer.

Thus we can conclude that the set of integers is not closed under division.

If you want to learn more, you can read:

https://brainly.com/question/17175273