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Find the inequality represented by the graph

Answer:

The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5

Step-by-step explanation:

Assume that the length of the pool is x feet

∵ The length of the pool is x feet

∵ The wide of the walkway around the pool is 5 feet

∴ The total length of the pool with the walkway = (x + 5) feet

∵ The area of the entire plot, including the walkway, is A square feet

∴ The area of the entire plot, including the walkway = A feet²

∵ The area of the square = (length)²

→ Substitute the length by (x + 5)

∴ The area of the entire plot, including the walkway = (x + 5)² feet²

→ Equate it by A

∴ A = (x + 5)²

→ To find x take square root for both sides

∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]

→ Cancel the square root of the right side by power 2

∴ [tex]\sqrt{A}[/tex] = x + 5

→ Subtract 5 from both sides

∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5

∴  [tex]\sqrt{A}[/tex] - 5 = x

→ x represents the length of the pool

∴ The length of the pool is  [tex]\sqrt{A}[/tex] - 5 feet

∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5

The length of the pool will be √A-10.

Area is defined as the total space taken up by a flat surface or shape of an object.

Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.

The area of a square is side².

Let the side of the walkway be (x+10)

A =  (x+10)²

√A = x+10

x = √A-10

Hence, The length of the pool will be √A-10.

Learn more about area;

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Use the Pythagorean theorem to find the diagonal.

Diagonal = sqrt( 50^2 + 30^2)

Diagonal = sqrt(2500 + 900)

Diagonal = sqrt(3400)

Diagonal = 58.309 meters ( round as needed)

Answer:

9.5h, 2.2r+9.5h

Step-by-step explanation:

Answer:

B & D

TRUST ME IT'S CORRECT I GUESSED AND GOT IT RIGHT

Respuesta:

Cada limón cuesta $0.75

Explicación:

$6 ➗ 8 limones = $0.75 por limon

Espero que esto ayude. Lo siento si está mal.  Eres amado y eres hermoso/guapo

-Bee

Answer:

Step-by-step explanation:

Answer:

y = √55

Step-by-step explanation:

from the Euclidean theorem

y^2 = CB × AC

y^2 = 5 × 11

y^2 = 55

y = √55

Answer: Gear B turns 90 times when gear A turns 60 times

Step-by-step explanation: To solve this you just 30x3=90

Answer:

Vertex: (3,4)

Step-by-step explanation:

Vertex form of the quadratic equation

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The parabola is given as:

[tex]y=2(x-3)^2+4[/tex]

Comparing with the equation:

a=2, Vertex: (3,4)

The graph of the parabola is shown in the image below

Answer:

Step-by-step explanation:

Use the constant, constant multiple, and power rules for derivatives: bring down the exponent and multiply it by the constant, then replace it with an exponent that is 1 less than what it was. The derivative of

[tex]f(x)=-8x^2-5x-4[/tex] would look like this:

[tex]f'(x)=-8(2)x^1-5-0[/tex] simplifying to

[tex]f'(x)=-16x-5[/tex]

Answer:

x= -16

Step-by-step explanation:

-3x-8/ 4 = 10

Here we can try to isolate x and so we have to first multiply 4 on each side.

-3x-8= 40

Then we can add the 8 to each side.

-3x= 48

Next, divide the -3 onto each side and we can get the answer!

x= -16

Answer:

The 2 si right

Step-by-step explanation:

We want to study the symmetry of a square and which rotations carry the square into itself.

We will see that the correct option is the last one:

Not all rotations of multiples of 45° carry the square into itself.

Here we have the claim:

" any rotation about  the center of the square that is a multiple of 45° will carry the square onto itself"

And we want to see if this is true or not.

What we can try to do, is find a counterexample to see if this is false.

Let's draw a square, then make a point in the center of it, and draw a segment between the center and the right side.

Now rotate that segment around the center of the square (and along with it, the whole square) by 45°.

(note that 45° is a multiple of 45°).

Doing this, you will see that this rotation does not rotate the square into itself.

So the correct option is D, not all rotations of 45° rotate the square into itself. While rotations of 90°, 180°, 270°, etc... will map the square into itself, we just found an example of a rotation of a multiple of 45° that does not do it.

An image of the rotation can be seen below:

If you want to learn more, you can read:

https://brainly.com/question/11392539

9514 1404 393

Answer:

  21 coins of ₹2

Step-by-step explanation:

Let x represent the number of ₹2 coins, and y the number of ₹5 coins. Then the total value of the coins is ...

  2x +5y = 77

and the relationship between numbers of coins is ...

  x = 3y

Substituting for x, we have ...

  2(3y) +5y = 77

  y = 77/11 = 7 . . . . simplify, divide by the coefficient of y

  x = 3(7) = 21 . . . . find x from the second equation

Ram has 21 of the ₹2 coins.

Answer:

To write as a scientific notation in this problem, just make something 0.0 x 10n

In this case, this is 8.9. Then, think about how many 10s have to be multiplied to make 8900.

It's three!

Move the decimal point left  to 3 places to make 5.78. Then, n is the number of decimal places you moved:3

Same goes to the case 0.034. You need to make something 0.0 x 10n

Hence, move the decimal point right to 2 places to make 3.4. How many decimal places did you move?Two!

But because you went right to make it from 0.034 to 3.4, n becomes -2(the number got 100 times smaller).

Just don't forget to add that negative sign after you have solved a problem involving a number smaller than 1.

Step-by-step explanation:

Hope this helps you.

:)

Answer:

12/20

Step-by-step explanation:

Answer:

x<3 or x>5

Step-by-step explanation:

doesn't equal when there are open dots and x must be greater than 5

Answer:

3

Step-by-step explanation:

Rise over run. [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Say the two y points are 4 and 2 and the two x points are 10 and 4. [tex]\frac{10-4}{4-2}[/tex] which is [tex]\frac{6}{2}[/tex]. [tex]\frac{6}{2}[/tex] simplifies to [tex]\frac{3}{1}[/tex].  

Answer:

........

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:x=19 degrees

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

[tex]m\widehat{ XPZ} = 271\degree... (given) \\\\

m\widehat {XZ} =360\degree - 271\degree\\\\

m\widehat {XZ} =89\degree\\\\

m\angle XYZ = \frac{1}{2} \times (m\widehat{ XPZ} -m\widehat {XZ} ) \\\\

(4x +15)\degree = \frac{1}{2} \times(271\degree - 89\degree) \\\\

(4x +15)\degree = \frac{1}{2} \times 182\degree\\\\

(4x +15)\degree = 91\degree\\\\

4x + 15= 91\\\\

4x = 91-15\\\\

4x = 76\\\\

x = \frac{76}{4}\\\\

\huge \orange {\boxed {x = 19}}

[/tex]

Answer:

Can't tell if this is a joke or not but eh

23+25=48

Step-by-step explanation:

Answer:

48 is the sum of 23+25

explanation

Given:

A number line from -10 to 10 with 20 tick marks.

Point D is 1 tick mark to the left of 5.

To find:

The integer value that represents point D.

Solution:

A number line from -10 to 10 with 20 tick marks. It means, each mark represents the integer values from -10 to 10.

We know that, as we move towards left on a number line the value decreases and as we move towards right the value increases.

Point D is 1 tick mark to the left of 5. It means, point D represents the integer value which is 1 less than 5.

[tex]5-1=4[/tex]

Therefore, point D represents the integer 4.

Answer:

This can't be further factored. It can also be written as (25m² - 1)

Step-by-step explanation:

It's factored as much as it can be already ^^

Answer:

love i

Step-by-step explanation:

Answer:

[tex]y=3x+9[/tex]

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (3, 18) and (8, 33).

First, let’s determine the slope. We can use the slope formula:

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

We will let (3, 18) be (x₁, y₁) and (8, 33) be (x₂, y₂). Then it follows that:

[tex]\begin{aligned} m&=\frac{33-18}{8-3} \\ m&=\frac{15}{3} \\ m&=3\end{aligned}[/tex]

Hence, the slope is 3.

Now, we can use the point-slope form:

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

We will substitute 3. for m. We can use either of the two points for (x₁, y₁) but let’s let (3, 18) be (x₁, y₁) for consistency. Thus:

[tex]y-18=3(x-3)[/tex]

Then it follows that:

[tex]\begin{aligned} y-18&=3x-9 \\ y&=3x+9 \end{aligned}[/tex]

Therefore, our equation is:

[tex]y=3x+9[/tex]

Answer:

Every positive number has 2 square roots, one positive and another one is negative. Square root of 49 is ±7, because you can obtain 49 by multiplying two 7's or two (-7)'s.

Step-by-step explanation:

Answer:

49 has 2 possible square roots +7 and -7

Step-by-step explanation:

49 has 2 possible square roots because 7x7=49

And -7 x -7 = 49

A negative times a negative equals a positive, so when you take the square root of 49, it is impossible to tell if 49 was the result of -7 x -7 or +7 x +7. Therefore, the square root of 49 has two possible answers.

Answer

(7),(14)

Step-by-step explanation:

7

14

7x2=14

Answer:

the volume of the prism is 168 cubic centimeters.

Step-by-step explanation:

The volume of the prism is ;120 cubic centimeters.

Connect three rectangles edge to edge. To close their triangular mouths from both ends. That shape is called a triangular prism.

A rectangular prism has six faces (each one of these faces are rectangle), 8 vertices, and 12 edges.

Noted that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ().

Considering that all these layers are equal, the volume of this prism can be calculated with:

Volume = Base area x length

= 1/2 x 6 x 4 x 10

= 240/2

= 120

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