If ST = 11 and RT = 41, find RS. Use the number line below.RRS =(Type an integer or a decimal.)

1) If Rachel's garden is a square and the area is mentioned, let's use the area of the square.

S= l²

36 =l²

Flipping it:

l²=36

l=√36

l=6

2) So the length of Rachel's garden is 6 feet.

Answer:

chose your top 3 flavors

The equation of the line with point (-6,5) and slope as -1/6 in slope intercept form is y=-1x/6+6

Given, the equation of the line passes through the point (-6,5)

and has a slope of -1/6.

point (-6,5) = (x₁,y₁)

slope (m)= -1/6

equation of the line is :

y-y₁=m(x-x₁)

substitute the values in the above formula:

y-5=(-1/6)(x-(-6)

y-5=-1x/6+6/6

y-5=-1x/6+1

y=-1x/6+1+5

y=-1x/6+6

Hence the equation of the line is y=-1x/6+6.

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The correct option for the equation of line is; y ≥ x - 4.

For the given question;

Consider two points lying on the line.

(x₁, y₁) = (4, 0)

(x₂, y₂) = (0, -4)

The, the slope of the line is found using;

slope = m = (y₂ -y₁)/(x₂ - x₁)

m = (-4 - 0)/(0 - 4)

m = 1

Now, the standard form of equation of line is;

y - y₁ = m(x - x₁)

Put the values,

y - 0 = 1(x - 4)

y = x - 4

As, the origin of the coordinates axis and the shaded portion lies on the opposite side of the line, thus the inequality used is greater than equal to.

y ≥ x - 4

Thus, equation of line obtained for the given graph is y ≥ x - 4.

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rate = 12 laps/4 min = 3 laps/min

3 laps ------------------ 1 min

x ------------------ 9 min

x = (9 x 3) / 1

x = 27 laps in 9 min

Result 27 laps in 9 min

The probability of selecting blue, yellow and blue marble without replacement is 3/170

Number of red marbles = 7

Number of blue marbles = 4

Number of yellow marbles = 6

Total number of marbles = 17

Probability of selecting a red marble = 7/17

Probability of selecting a blue marble = 4/17

Probability of selecting a yellow marble = 6/17

Now the probability of selecting the first blue marble = Number of blue marbles/Total number of marbles. = 4/17

Probability of selecting the yellow marbles = Number of yellow marbles/Number of marbles left after the first draw = 6/16

Probability of selecting the third blue marble = Number of blue marbles/Total number of marbles left after the second draw = 3/15

So the probability of blue, yellow and blue marble is:

4/17*6/16*3/15 = 3/170

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As shown in the figure : we have a right angle triangle

We need to find the value of x

The hypotenuse of the triangle = 29

And x represents the opposite side of the angle 19

So,

rounding the answer to the nearest tenth

So,

The vertex is the minimum/maximum point of the parabola.

This parabola has a dip, minimum point.

Looking at the coordinates, the vertex is at:

Vertex = (1,1)

The axis of symmetry is always the x-coordinate of the vertex coordinate.

That is x = 1.

So,

Axis of Symmetry:

x = 1

Now,

Since x = 1 (vertical line) is the axis of symmetry, we reflect the points P and Q about this line and find the points P' and Q'.

P' = (2,2)

Q' = (-1,5)

The most appropriate choice for properties of addition will be given by-

The correct option will be additive identity

What is addition and its properties?

To find the total of two or more numbers, addition is used

There are some properties of addition

Let a, b and c be three numbers

1) Commutative property

The value of a + b is same as the value of b + a

a + b = b + a

2) Associative property

On adding more than two numbers, changing of bracket is permissible.

(a + b) + c = a + (b + c).

3)Additive identity

There is a number called additive identity. If any number is added to the additive identity, we will get back the same number. Here, 0 is the additive identity

a + 0 = a

4) Additive Inverse

Every number has an additive inverse.

On adding a number with the additive inverse, the result will be additive identity.

-a is the additive inverse of a

a + (-a) = 0

Here,

[tex]-\sqrt{3}+0=-\sqrt{3}[/tex]

0 is the additive identity

So this is the case of additive identity.

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In such a competitive private market, 80 hours of programming would be available.

For the given question;

Marginal social benefit = Addition of all groups with in community.

MSB =  W1 + W2 + W3

MSB = ($200 - T) + ($240 - 2T) + ($320 - 2T)

MSB = $200 + $240 + $320 - T - 2T - 2T

MSB = $760 - 5T

Calculate efficient number of hours for the public television:

MSB = MC

$760 - 5T = $200

$760 - $200 = 5T

5T = $560

T = 112 hours for the programming.

b. For $200 per hour,

Demand for group 1:

Private marginal benefit = Private marginal cost

$200 - T = $200

T = 0 hours for the programming.

Demand for group 2:

$240 - 2T = $200

$240 - $200 = 2T

$40 = 2T

T = 20 hours for the programming.

Demand for group 3:

$320 - 2T = $200

$320 - $200 = 2T

$120 = 2T

T = 60 hours for the programming.

Hours of television = group 1 + group 2 + group 3

Hours of television = 0 + 20 + 60

Hours of television = 80 hours

Thus, in such a competitive private market, 80 hours of programming would be available.

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a) It's a linear function because if time increases, precipitation increases. I'll graph it. On the graph we observe that the points form a line.

b) Both intercepts have the same meaning.

It means the amount of water (rain) at time = 0, when it still does not started to rain.

Since both inequalities don't have the equal to symbol (≤) Both lines must be dashed lines.

So, the top right option can't be.

Now we have 3 options:

If we graph the inequality: y < -3/4x + 1

It has a slope of -3/4 and a y-intercept on 1.

The only available option that represents this inequality is the right bottom one.

The output value of the function is 8 when the input value is -2

A relation's input value is its first value, and its output value is its second. A particular kind of relation called a function is one in which every input value has only one and only one output value.

The value of an input is the independent value, but the value of an output is dependent on the value of the input.

Only data flows, mining flows, and sub processes can use input variables. The variable value that was modified inside a sub process is output using output variables.

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Answer:

A

Step-by-step explanation:

f(x) - g(x)

= [tex]\sqrt{x}[/tex] - x - (2x³ - [tex]\sqrt{x}[/tex] - x) ← distribute parenthesis by - 1

= [tex]\sqrt{x}[/tex] - x - 2x³ + [tex]\sqrt{x}[/tex] + x ← collect like terms

= - 2x³ + 2[tex]\sqrt{x}[/tex]

Answer: 24

Step-by-step explanation:

Answer:

6⁸÷3⁴ = 20736

Step-by-step explanation:

Answer: 17 1/3

Step-by-step explanation: hope this helps!

The most appropriate choice for  linear equation will be given by -

Total cost of setting up their shop and creating pygmy puffs, as a function of the number of boxes of pygmy puffs produced, p

C(p) = 3p + 1000

Second option is correct

What is  linear equation?

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here,

Initial cost of  manufacturing Weasley's Wizarding Wheezes by the Weasley brothers = 1000 galleons

Cost of producing one pygmy puff = 3 galleons

Cost of producing p boxes of pygmy puffs = 3p galleons

Total cost of setting up their shop and creating pygmy puffs, as a function of the number of boxes of pygmy puffs produced, p

C(p) = 3p + 1000

Second option is correct

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Complete Question

The Weasley brothers estimate that they will need a thousand galleons just to set up their joke shop, Weasley's Wizarding Wheezes. The first products they are manufacturing are pygmy puffs, and they realize that the cost of making a single box of pygmy puffs is 3 galleons. The brothers would like to estimate the cost, in galleons, of setting up their shop and creating pygmy puffs, as a function of the number of boxes of pygmy puffs produced, p. Which of the following equations is the correct equation representing this scenario?

1) C(p) = 3p - 1000

2) C(p) = 3p + 1000

3) C(p) = 1000p - 3

4) C(p) = 1000p + 3

Vertically opposite angles are equal

Therefore,

no solution one solution infinitely many solutions

3x + 7 = 14 + 3x

22x + 11 = 4x - 7

3(x + 2) = 3x + 6​

Part 1

we have

3x + 7 = 14 + 3x

solve for x

3x-3x=14-7

0=7 -----> is not true

that means

No solution

Part 2

we have

22x + 11 = 4x - 7

solve for x

22x-4x=-7-11

18x=-18

x=-1

so

One solution

Part 3

we have

3(x + 2) = 3x + 6​

solve for x

Divide by 3 both sides

x+2=x+2 -----> its a identity

that means

infinitely many solutions

Answer:

Domain: A, [tex][1, \infty)[/tex]

Range: A, [tex][-4, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

There are 15 adults and 30 children

Step-by-step explanation:

Hey there!

Setting up the system of equations

----------------------------------------------------------------------------------------------------------

Lets first set a variable for the children and adults

Children - x

Adults - y

x + y = 45

x = 2y

----------------------------------------------------------------------------------------------------------

Solving the system of equations

----------------------------------------------------------------------------------------------------------

We can use substitution

(2y) + y = 45

3y = 45

y = 15

This means, there are 15 adults

Now we plug in this information

x = 2y

x = 2(15)

x = 30

This means, there are 30 children

----------------------------------------------------------------------------------------------------------

So, there are 15 adults and 30 children

{(-4,-9), (-4,4),(-2,2), (9,5)}

Because the x values of -4 occurs more than once, the set of ordered pairs is not a function.

Answer:

5

Step-by-step explanation:

6*9= 54

54/7 = 7 with remain 5

Based on the definition of the midpoint of a line segment, the length of UV is determined as: 16 units.

The midpoint of a segment is defined as the point on a line segment where the line segment is bisected into two equal smaller segments. The length of the smaller segments formed will be equal to each other.

Given that V is the midpoint of segment UW, it means that V divides segment UW into two equal smaller segments, UV and VW.

UV = 2x

VW = x + 8

Therefore:

UV = VW

Substitute

2x = x + 8

2x - x = x + 8 - x [subtraction property of equality]

x = 8

Find the length of UV:

UV = 2x

Plug in the value of x

UV = 2(8)

UV = 16 units.

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Answer:

what is the question?

Step-by-step explanation:

Please write the question so i can answer it.

From the table it can be seen that when r=3, V(r=3) =113

On the other hand, when r=7, V(r=7)=1436 and when r=2, V(2)=33.5, therefore,

ANSWER:

13 years old

STEP-BY-STEP EXPLANATION:

Let x be Devaugn's age and y be Sydney's age.

We establish the following linear equation system:

We solve the first equation in the second equation:

Which means Sydney's age is 13 years old.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words, similar triangles are the same shape, but not necessarily the same size.

therefore, in this case we can see that the triangles have an equal angle and their sides are similar.