The figure shown is a scale drawing of a playground in a park. The length is 9 in and the width is 2 in.



The actual playground has a width of 6 feet. What is the actual length of the playground, in feet?

A
3 feet
B
27 feet
C
18 feet
D
54 feet

When reflecting over the x axis, the x value remains the same and the Y value becomes the opposite of the original y value.

L is located at (2,-4) so l' would become (2,4)

Answer (2,4)

The value of the coordinate of L' is (2, 4)

Given that;

JKL is reflected across the x-axis.

Here, the coordinate of L is,

L = (2, - 4)

Since, When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

The reflection of point (x, y) across the x-axis is (x, -y).

Hence the coordinate of L' is,

L' = (2, 4)

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Answer:

19.2

Step-by-step explanation:

(32) 3/5

= 32 multiple 3/5

= 96/5 [ explanation: 32 multiple 3 = 96 ]

= 19.2 [ explanation: 96 divided by 5 = 19.2 ]

Answer:

Its 138

Step-by-step explanation:

LOL

Answer:

Step-by-step explanation:

the point (-3,1) is on the graph of G

meaning G(-3)=1

so the correct answer is G(x) =

   \((x+3)^2+1\)

hope this helps

Answer:

I can't understand

Step-by-step explanation:

pls translate to english

The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

x^2 + 4y^2 + 6x + 4

Step-by-step explanation:

Arranging the terms;

x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 6x + 2 + 2

x^2 + 4y^2 + 6x + 4

The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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Answer: It would take the ostrich 4 minutes

Step-by-step explanation:

The time taken by the Ostrich running at a rate of 50 miles in 60 minutes to cover a distance of 15 miles is 18 minutes.

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

An ostrich can run at a rate of 50 miles in 60 minutes.

First, we determine the speed of the ostrich.

Speed = Distance / time

Speed = 50 / 60

Speed = 5/6 miles per min

Now, time taken for the ostrich to run 15 miles will be;

Speed = Distance / time

Time = Distance ÷ Speed

Time = 15 ÷ 5/6

Time = 15 × 6/5

Time = 3 × 6

Time = 18 min

Therefore, the time taken by the Ostrich is 18 minutes.

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Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

1460

Step-by-step explanation:

rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡

Answer:

1460

Step-by-step explanation:

Original number is 1 4 5 6

To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it

The digit in the tens place is 5

If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0

So 5 rounds up to 6

The 6 to the immediate right(units place becomes 0)

1 4 5 6 rounded to nearest ten==> 1 4 6 0

Answer:

7.2+0.8W

Step-by-step explanation:

Answer:

0.8w + 7.2

Step-by-step explanation:

Separate the numbers with and without variables.

4.8 + 2.4 = 7.2

2.2w - 1.4w = 0.8w

( Remember when u put ur answer together the number with variables should be in front of the number without variables! or whatever i dont remember lol i only remember how to solve. )

Answer:

your answer would be 0.052

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Answer:

1. 195

2. 1875

3. 23460

4. 4690

5. 574

6. 1810

7. 82278

8. 41448

(Can you please give me brainliest?)

Answer:

17.65%

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve

Answer:

c. alternate interior

Explanation:

If a transversal line intersects two parallel lines, the angles formed on the interior are called the interior angles. For example, in the given diagram, angles 3, 4, 6, and 5 are interior angles.

Now the pair of angles that formed in the interior but on the opposite side of the transversal line are called alternate interior angles. For example, angels 4 and 6 are alternate interiors. angles 3 and 5 also alternate interior.

Therefore, choice C is the correct answer choice that describes angles 4 and 6.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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The balance of the savings plan after 4 years with an APR of 8% and monthly payments of $150 is approximately $7,456.76.

As a result, the savings plan formula for such challenges is as follows: final saving = number of periods * (first and last period savings) / 2.

To calculate the balance of the savings plan after four years, we can use the formula for the future value of an annuity with regular payments:

P * ((1 + r/n)(n*t) - 1) / (r/n)

Where P is the monthly payment amount, which is $150.

r = 8% annual interest rate

n = the number of times annual interest is compounded = 12 (since we have monthly payments)

4 t = the number of years

We get the following results when we plug these values into the formula:

FV = 150 * ((1 + 0.08/12)^(12*4) - 1) / (0.08/12) ≈ $7,456.76

As a result, the savings plan balance after four years with an APR of 8% and monthly payments of $150 is approximately $7,456.76.

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

x= -1/3

y= -3 1/3

Step-by-step explanation:

Make both of them into y=Mx+b form

y=-x-3

y=(-x-7)/2

Substitute the x-3 in the first equation for the y in the second one.

x-3=(-x-7)/2

2x-6=-x-7

3x=-1

x=-1/3

Now that we have x, we can solve for y.

y=-x-3

y=-1/3-3

y=-3 1/3

Answer: x=6

Step-by-step explanation:

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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do 4.9k divided by 7.9 pie

Answer:

a= 3

b.= 3

Step-by-step explanation:

F(x) = ab×

using the 2 given points to find a and b

(0,3)

3=ab⁰

a = 3

(2,27)

27 = 3b² = 9= b²

b = 3

f(x) = 3(3×)

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Answer:

Hi! The answer to your question is -14.2b+3.36d-216.05

Step-by-step explanation:

Simplify the Expression.

Answer:

\(\pm24\)

Step-by-step explanation:

To find the geometric mean of two numbers, you find their product and then take the square root of that product:

\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)