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The equation that describe the circle of radius 3 centered at (9, 2, 1) that is parallel to the x y-plane is (x - 9)² + (y - 2)² = 9.

We know that the given coordinates correspond to a sphere.

The x, y coordinates for our search for a circle parallel to the x-y plane are (x, y) = (9, 2)

The circle's standard equation is (x - h)²+ (y - k)² = r², where h and k are the circle's x and y coordinates, respectively, and r is its radius.

So, we have:

h = 9 ;

k = 2 ;

r = 3;

the solution is (x - 9)² + (y - 2)² = 9.

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Answer:

4) -2g - 11

Step-by-step explanation:

2(3g-4)-(8g + 3) =

6g - 8 - 8g - 3 =

- 2g - 11

Answer:

f(-5)=-(-5)^2 - 10(-5) = 25

Step-by-step explanation:

The value of f(-5) is 25 when x = -5

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that

⇒ f(x) = -x² – 10x

To determine the value of f(-5)

Substitute the value x = -5

⇒f(-5 ) = -(-5)² - 10(-5)

⇒f(-5 ) = 25

Hence, the value of f(-5) is 25 when x = -5

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Answer:

D) 50s + 65c ≤ 3000

Step-by-step explanation:

50s represents the stools and 65c represents the chairs

you can't go over 3000 and so this is the only answer that makes sense.

Answer:

The answer is D) 50s + 65c ≤ 3000!

Step-by-step explanation:

I just took the test and i got 100%. Hope this helps! :]

Answer:

x=102

Step-by-step explanation:

the person ontop is wrong its a and e

Step-by-step explanation:

:)

Answer: y=-1/3-2

Step-by-step explanation:

slope=-1/3

y intercept=-2

Given:

Triangle ABC is similar to triangle EFG.

Pentagon ABCDE is similar to pentagon QRSTU.

To find:

The length of segment FG.

The missing value in [tex]\dfrac{D}{EA}=\dfrac{?}{UQ}[/tex].

Solution:

In card A,

AC = 15 in.

BC = 9 in.

EG = 10 in.

Triangle ABC is similar to triangle EFG. So, the corresponding sides are proportional.

[tex]\dfrac{AC}{BC}=\dfrac{EG}{FG}[/tex]

Putting the values, we get

[tex]\dfrac{15}{9}=\dfrac{10}{FG}[/tex]

[tex]\dfrac{5}{3}=\dfrac{10}{FG}[/tex]

[tex]5\times FG=3\times 10[/tex]

[tex]5FG=30[/tex]

Divide both sides by 5.

[tex]FG=6[/tex]

Therefore, the length of segment FG is 6 in.

In card B, pentagon ABCDE is similar to pentagon QRSTU.

The corresponding sides of similar figure are proportional. So,

[tex]\dfrac{AB}{QR}=\dfrac{BC}{RS}=\dfrac{CD}{ST}=\dfrac{DE}{TU}=\dfrac{EA}{UQ}[/tex]

Now,

[tex]\dfrac{CD}{ST}=\dfrac{EA}{UQ}[/tex]

It can be written as

[tex]\dfrac{CD}{EA}=\dfrac{ST}{UQ}[/tex]

Therefore, the missing side is ST.

Answer:

C. 20/52

Step-by-step explanation:

Answer:

It's 25

Step-by-step explanation:

Answer:

y = -x + 6

Step-by-step explanation:

you will carry the character "X" to the right hand side making it "-x"

Equation x + 2y = 6 is equivalent to y = 3 - x/2

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

x + 2y = 6,

Subtract x from both the sides,

x + 2y - x = 6 - x

2y = 6 - x

Divide both the sides by 2,

y = 3 - x/2

The equation x + 2y = 6 can be expressed as y = 3 - x/2.

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Answer:

30 oranges

Step-by-step explanation:

Total number of apartment in julissa floor = 6

Number of oranges given to each apartment = 5

how many oranges did Julissa give out in all?

Total number of oranges julissa's gave out = Total number of apartment in julissa floor × Number of oranges given to each apartment

= 6 × 5

= 30 oranges

Therefore, total number of oranges julissa gave out = 30

Answer:

30

Step-by-step explanation:

30

Answer:

x = 3

Step-by-step explanation:

Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3Solution for 16-3x=4+x equation:

Simplifying

16 + -3x = 4 + x

Solving

16 + -3x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.

16 + -3x + -1x = 4 + x + -1x

Combine like terms: -3x + -1x = -4x

16 + -4x = 4 + x + -1x

Combine like terms: x + -1x = 0

16 + -4x = 4 + 0

16 + -4x = 4

Add '-16' to each side of the equation.

16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0

0 + -4x = 4 + -16

-4x = 4 + -16

Combine like terms: 4 + -16 = -12

-4x = -12

Divide each side by '-4'.

x = 3

Simplifying

x = 3

Answer:

[tex]y'= \frac{3x+2}{2\sqrt{x} }[/tex]

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

Product Rule: [tex]\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]y=\sqrt{x} (x+2)[/tex]

Step 2: Rewrite

[tex]y=x^{\frac{1}{2} } (x+2)[/tex]

Step 3: Differentiate

Answer:

The correct answer is D.) y = -2x-3

Step-by-step explanation:

You can solve the given equation y - 5 = -2(x + 4):

y - 5 = -2(x + 4)         simplify the right side

y - 5 = -2x - 8            add 5 to both sides

y = -2x - 3

Hope it helps! have a great day! :)

Answer:

D

Step-by-step explanation:

solve whats in (  ) first                               y-5= -2x -8

move the constant to the right                 y =  -2x - 8+5

(5 is the constant  )

add the sums                                              y= -2x -3

This is actually the slope intercept form

Answer:

We conclude that the numerator of a rational number 8 will be 8.

Step-by-step explanation:

We know that any number which can be written in the form p/q is called a rational number.

i.e. p/q

Where p and q are integers and q≠0.

Here:

Given the number

8

As number '8' can be written in the form p/q, so it is a rational number.

i.e. 8/1

Thus,

Therefore, we conclude that the numerator of a rational number 8 will be 8.

Answer:

-3 and 12

Step-by-step explanation:

but I'm not sure about your question when you say of is that supposed to be a and if it is a and then its -3 and 12

Answer:8/27

Step-by-step explanation:

(7-4)÷9 of (8÷2×3)

3÷9 of 8÷6

Answer:

18534 is the answer of this question

Answer:

[tex]x+y=18 \\2x+3y=42[/tex]

Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

Step-by-step explanation:

Total number of points scored by Gladys = 42

Only 2-point and 3-point shots are taken by Gladys.

Let number of 2-point shots taken = [tex]x[/tex]

Let number of 3-point shots taken = [tex]y[/tex]

Total number of shots taken = 18

Therefore, first equation can be written as:

[tex]x+y=18[/tex]

Total points scored = 42

Therefore, second equation can be written as:

[tex]2x+3y=42[/tex]

System of equations is:

[tex]x+y=18 .... (1)\\2x+3y=42 .... (2)[/tex]

Using elimination method to solve the system of equations.

Multiplying equation by 2 then subtracting it from equation (2):

[tex]3y - 2y = 42 - 36\\\Rightarrow y = 6[/tex]

By equation (1):

[tex]x+6=18\\\Rightarrow x = 12[/tex]

Therefore, Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

Answer:

The first option!

Step-by-step explanation:

2 2/3 but brainliest? Thanks!

Answer:

[tex]7x^{2} y-2xy^2+xy[/tex]

Three terms.

Two terms are positive.

Step-by-step explanation:

[tex]8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2[/tex]

Group like terms

[tex]=8x^{2} y-x^{2} y+3xy^2-5xy^2-2xy+3xy[/tex]

Add similar elements: [tex]8x^{2} y-x^2y=7x^2y[/tex]

[tex]=7x^2y+3xy^2-5xy^2-2xy+3xy[/tex]

Add similar elements: [tex]3xy^2-5xy^2=-2xy^2[/tex]

[tex]=7x^{2} y-2xy^2-2xy+3xy[/tex]

Add similar elements: [tex]-2xy+3xy=xy[/tex]

[tex]=7x^2y-2xy^2+xy[/tex]

[tex]7x^2y[/tex] and [tex]-2xy^2[/tex] and [tex]xy[/tex] are the three different terms.

Only [tex]7x^2y[/tex] and [tex]xy[/tex] are positive terms, thus making two positive terms.

Answer:

put down the 1/6 and the 1/2 on the number line then calculate the fraction of how far spread they are

Step-by-step explanation:

put down the fractions, calculate how far away they are

2 step explination its 3/6

hope its right................

Answer:

D

Step-by-step explanation:

Answer:

Sum of the two separate equations.

The values satisfies the equation

Step-by-step explanation:

Given the equations for the two separate days :

125a +65 s = 1,200 - - - Friday

140a +50s = 1,230 - - - Saturday

265a+115s=2430 means the addition of the two separate equations which means the overall sales for the two days in one single equation.

B)

Because, Inputting the solution, satisfied the equation:

a = 7 ; s = 5

265a+115s=2430

265(7) + 115(5) = 2430

1855 + 575 = 2430

Answer:

Largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)

Step-by-step explanation:

We need to find the largest number ins scientific notation.

The number which has highest degree would be the largest.

In the given options, Diameter of Sun has highest power i.e 10⁹

All other options have lower degrees.

So, largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)

Answer:

2(3-n)=5

Step-by-step explanation:

Answer: The​ student's estimate is off by 12%

Answer:

The new mean will be 20.

Step-by-step explanation:

The Mean Value of a Data Set

The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:

[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]

Where xi is the value of each data and n is the total number of values.

The mean of n=30 numbers is [tex]\bar x=18[/tex]. If each observation is increased by 2, then xi'=xi+2 and the new mean value will be:

[tex]\displaystyle \bar x'=\frac{\sum x'_i}{30}[/tex]

[tex]\displaystyle \bar x'=\frac{\sum x_i+2}{30}[/tex]

[tex]\displaystyle \bar x'=\frac{\sum x_i}{30}+\frac{\sum 2}{30}[/tex]

The sum of 30 times 2 is 60, thus:

[tex]\displaystyle \bar x'=18+\frac{60}{30}=18+2=20[/tex]

The new mean will be 20.

Answer:

I think, the domain would be the x values and range would be the y values.

Domain - [-3 , 2]

Range - [-5 , 5]

I hope you get this right.