Which expression is rational? A. 4.121221222… B. square root of 36 C. square root of 21 D. 1.192744502…

Answer:

11

Step-by-step explanation:

(x - y)² = x² - 2xy + y² = x² + y² - 2xy = 15 - 2(2) = 15 - 4 = 11

Answer:

11

Step-by-step explanation:

(x-y)²=x²+y²-2(xy)

Given : x²+y²=15

           xy=2

By substituting we get ,

(x-y)²=15-2(2)

(x-y)²=15-4

(x-y)²=11

Answer:

n = 25

Step-by-step explanation:

-2n + 15 = n - 60

Subtract 15 to both sides

-2n = n - 75

Subtract n to both sides

-3n = -75

Divide -3 to both sides

n = 25

Best of Luck!

Answer:

n=25

Step-by-step explanation:

-2n+15=n-60

-3n+15=-60

-3n=-75

n=25

Answer:

x=3

Step-by-step explanation:

Hello! :)

4 (2x + 1) = 6x + 10 Simplify both sides of the equation

(4) (2x) + (4) (1) = 6x + 10 Distribute

8x + 4 = 6x + 10

8x + 4 − 6x = 6x + 10 − 6x  subtract 6x from both sides

2x + 4 = 10

2x + 4 - 4 = 10 - 4 Subtract 4 from both sides

2x = 6

2x/2 = 6/2 Divide both sides by 2

6/2 = 3 Simplify

x = 3 (ANSWER)

Hope this helped you!

THEDIPER

Answer:

Step-by-step explanation:

[tex]f(x)=-x^2+5\\\\f(-3)=-(-3)^2+5=-9+5=-4[/tex]

18.5*3.82 would be 70.67

Answer:

would be 70.67

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Plug in 7.5 as t into the equation, and solve:

p = -10t + 115

p = -10(7.5) + 115

p = -75 + 115

p = 40

This means in 7.5 hours, he will still have 40 papers left to grade.

So, he will not be able to finish grading in 7.5 hours.

Answer:

a:b = 3:5.

Step-by-step explanation:

a + 0.25a = b - 0.25b

1.25a = 0.75b       Divide both sides by b:

1.25a / b = 0.75  Now divide both sides by 1.25

a/b = 0.75/1.25

a/b= 3/5.

Answer:

-6-(-1)

Step-by-step explanation:

Answer:

Necklace cost $144 and bracelet cost $48

Step-by-step explanation:

call x is the price of necklace, y is the price of bracelet

because necklace cost 3 time as much as the bracelet

=> 3x = y

A necklace and a bracelet cost $192

=> x + y = 192

=>set of equations

3x = y and x+y = 192

x= 3y and 3y + y = 192

=> y = 48 and x = 3 . 48 = 144

Given:

The equation is

[tex]\dfrac{1}{4}x-3=\dfrac{3}{8}x+4[/tex]

To find:

The Louisa's mistake.

Solution:

We have,

[tex]\dfrac{1}{4}x-3=\dfrac{3}{8}x+4[/tex]

[tex]\dfrac{x-12}{4}=\dfrac{3x+32}{8}[/tex]

Multiply both sides by 8.

[tex]2(x-12)=3x+32[/tex]

[tex]2x-24=3x+32[/tex]

[tex]-24-32=3x-2x[/tex]

[tex]-56=x[/tex]

[tex]x=-56[/tex]

Louisa made an error when determining the original solution of x = 56.

Therefore, the correct option is A.

Answer:

Louisa made an error when determining the original solution of x = 56.

Step-by-step explanation:

The screenshot if proof

Answer:

C

Step-by-step explanation:

So, we want to find the equation of the line graphed.

To do so, let's first find the slope. Let's pick two points from the graph. I'm going to use (-2,2) and (0,-1).

The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's let (-2, 2) be (x₁, y₁) and let's let (0,-1) be (x₂, y₂). So, substitute:

[tex]m=\frac{-1-2}{0-(-2)}[/tex]

Subtract:

[tex]m=\frac{-3}{2}[/tex]

So, our slope is -3/2.

Now, we can use the point-slope form, which is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is any point on the graph.

Since our answer choices are using the values 2 and 4, this means we can use the point (2,-4).

So, (2,-4) is our (x₁, y₁).

Also, our m is -3/2. So, substitute these into the point-slope form:

[tex]y-(-4)=-\frac{3}{2}(x-2)[/tex]

Simplify:

[tex]y+4=-\frac{3}{2}(x-2)[/tex]

Therefore, our answer is C.

And we're done!

Answer:

5+n=?

Step-by-step explanation:

hope this helps (:

Answer:

x^2+ 7x+12

Step-by-step explanation:

use FOIL property

(x * x) (x * 3) (4 * x) (4 * 3)

x^2 + 3x + 4x + 12

= x^2 + 7x + 12

a = 10, c = 15, b = 5√5

a = 8, c = 18, b = 2√65

a = 12, c = 14, b = 2√13

a = 4, c = 20, b = 8√6

a = 12, b = 14, c = 2√85

a = 4, b = 20, c = 4√26

a = 10, b = 15, c = 5√13

a = 8, b = 18, c = 2√97

Answer:

Simplifying

8x + -3 = 5(2x + 1)

Reorder the terms:

-3 + 8x = 5(2x + 1)

Reorder the terms:

-3 + 8x = 5(1 + 2x)

-3 + 8x = (1 * 5 + 2x * 5)

-3 + 8x = (5 + 10x)

Solving

-3 + 8x = 5 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.

-3 + 8x + -10x = 5 + 10x + -10x

Combine like terms: 8x + -10x = -2x

-3 + -2x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0

-3 + -2x = 5 + 0

-3 + -2x = 5

Add '3' to each side of the equation.

-3 + 3 + -2x = 5 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 5 + 3

-2x = 5 + 3

Combine like terms: 5 + 3 = 8

-2x = 8

Divide each side by '-2'.

x = -4

Simplifying

x = -4

Step-by-step explanation:

Answer:

is it 5?

Step-by-step explanation:

The value of the expression at x = 5 will be 6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 2x - 4. The solution for the expression is,

E = 2x - 4

E = ( 2x 5  - 4 )

E = 10 - 4

E = 6

Hence, the solution for the expression is 6.

To know more about an expression follow

https://brainly.com/question/13886623

#SPJ2

Answer:

[tex]area = \pi {r}^{2} [/tex]

675= 3.14× r²

r²= 675/ 3.14

r²=214.968

[tex]r = \sqrt{214.968} [/tex]

radius=14.66 meters

diameter= 2× radius

diameter= 2× 14.66

diameter = 29.32 meters

Answer:

Step-by-step explanation:

she worked 50.25 hours for 18.8 dollars an hour

the first 40 hours she paid regularly: 40*18.8= 752 dollars

extra time : 50.25-40=10.25

the extra time pay: 10.25 *18.80(1+0.5) = 289.05

Gross pay = 752+289.05=1041.05

Answer:

C. 128⁰

Step-by-step explanation:

12+40 = 32

32+128=180

Answer:

Option C -

Given : AB and BC form a right angle at point B. If A = (-3, -1) and B = (4, 4).

To find : What is the equation of BC ?

Solution :

AB and BC form a right angle at point B.

A=(-3,-1)  and  B=(4,4)

The slope of line AB is

Step-by-step explanation:

Hopfully this helped, if not HMU and I will get you a better answer

-Have a great day! :)

Answer:

x=[tex]\frac{8-5y}{2}[/tex]

y=[tex]\frac{16}{5}-[/tex] [tex]\frac{2x}{5}[/tex]

Step-by-step explanation:

for x

2x+5y=16

2x=-5y+16

then divide everything by 2 to get your answer

for y, you do basically the same thing for what you did for x

Answer: If the monomial has only one variable.

3x² is a monomial of the 2nd degree with a leading coefficient of 3.

Step-by-step explanation: Think of the your like terms such as the coefficents  A polynomial which has only one term is called monomial.

The degree of a monomial is defined as the sum of all the exponents of the variables.

A leading coefficient is the number multiply to the variable.

Step-by-step explanation:

(-)(-) = +

[tex] - \frac{3}{5} + \frac{5}{9} [/tex]

[tex] - \frac{27}{45} + \frac{25}{45} [/tex]

[tex] - \frac{2}{45} [/tex]

Answer:

297 & 369

Step-by-step explanation:

Answer:

297 and 323

Step-by-step explanation:

please mark as brainlist answer

Answer:

[tex]\frac{31}{20}[/tex]

Step-by-step explanation:

hey there,

< [tex]w +\frac{1}{2} = \frac{1}{20} + 2[/tex]

Move the variable "w" to one side and all regular numbers to the other.

[tex]w = \frac{1}{20} + 2 - \frac{1}{2}[/tex]

Continue simplifying. Put everything under the least common denominator (LCM) which would be "20" here.

[tex]w = \frac{1+40-10}{20} = \frac{31}{20}[/tex]

w = [tex]\frac{31}{20}[/tex] is your final answer. >

Hope this helped! Feel free to ask anything else.

Answer:

Step-by-step explanation:

The square area is

A = x²

A side of square is

X

Then, we have:

x² = 57

x = [tex]\sqrt[2]{57}[/tex]

x = 7,54 aproximately - just the positive root is aceppted.

I don't know the values of that table, because you didn't gave. But if they are all natural numbers, it would be betwen 7 and 8.

Answer:

20.4 × 2.4 inches?

Step-by-step explanation:

I'm assuming that both posters have the same thickness and so just multiply the thickness of one by 2.