give the center and the radius of the circle of x^2+y^2+6x-8y=0​

No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.

Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]

[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]

[tex]A = \frac{1}{2}\cdot 4[/tex]

[tex]A = 2[/tex] units^2

And since the two triangles are the same, the other triangle has the same area: 2 units^2

For the square we can use [tex]A = l\cdot w[/tex]  

[tex]A = 2 \cdot 2[/tex]

[tex]A = 4[/tex]

Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2

Answer:

8 units²

Step-by-step explanation:

In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2

In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.

Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:

2 + 2 + 2 = 6

Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:

([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,

(2 + 6) × 2/2

= 8 × 1

= 8 units²

Answer:

30 square feet

Step-by-step explanation:

Bottom rectangle: 2*5 = 10

Middle rectangle: 2*6 = 12

Top rectangle: 2*4 = 8

Total: 10 + 12 + 8 = 30

Answer:

22.5km per hour

Step-by-step explanation:

Answer:

Option 1

Figure Length (feet) Width (feet)

small rectangle 14 6

large rectangle 20 7

Figure Base (feet) Height (feet)

triangle 6 6

Option 2

Figure Length (feet) Width (feet)

small rectangle 6 7

large rectangle 14 13

Figure Base (feet) Height (feet)

triangle 6 6

Step-by-step explanation:

Answer:

The volume of a rectangular prism whose dimensions are l, w, and h is

V = l × w × h.

Option 1:

The length (l), width (w), and height (h) of the first prism are  inches, 26 inches, and  inches, respectively, so the volume of the first prism (V1) is

Step-by-step explanation:

Answer:

THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.

THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.

Step-by-step explanation:

This is what it says in english

Answer:

3.667+ 2

Step-by-step explanation:

Area of a rectangle = length x width

11x + 10 = (3x +5) x width

to determine the width, divide both sides of the equation by 3x + 5

(11x + 10) / (3x + 5) = width

width = 3.667 + 2

Answer:

Commission rate= 5% of sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $325

Monthly salary= $360

Sales= $700

First, we need to calculate the commissions:

Commission= monthly salary  - fixed salary

Commission= 360 - 325

Commission= $35

Now, the commission rate:

Commission= commission rate* sales

35 = commission rate*700

0.05= commission rate

commission rate= 5% of sales

Answer:

1

Step-by-step explanation:

As we know that addition and subtraction are inverse operations, as are multiplication and division.

The given equation is c+3=4

To solve such equations we isolate the unknown( to keep it either to the left or right of = sign) as c = 4-3  

This is also called transposing and the sign of the transposed value changes.

Hence, c = 4-3 = 1

Answer:

A The graph of f is shifted up two units to create the graph of g.

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1

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Answer:

288mm^2

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

Answer: 2·(14·6+3·6+3·14)

2 • (84 + 3•6 + 3•14)

2 • (84 + 18 + 3•14)

2 • (84 + 18 + 42)

2 • 144 =

288mm^2

Press answer 2 on the question of the image you inserted

Answer:

i dont know

Step-by-step explanation:

.

Answer:

the equation should be c=768/s or c s=768.

Step-by-step explanation:

This situation involves inverse variation, so the equation will either take the form c=6/3 or the form cs=k.

To write a general equation for this situation, find the value of k. Use the form cs=k and the point (128,6) since the container can fill 128 cups holding 6 ounces each.

cs=k

(128)x(6)=k

768=k

Using 768 for k, the general equation is c=768/s or cs=768.

The equation for the number of cups for a specific size can be written as c = 768/x.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The amount of drinks carried by each cup is 6 ounces.

And, the total number of cups are 128.

Then,the total amount of drink is 128 × 6 = 768 ounces.

Suppose the number of cups be c.

And, the size of each cup be x.

The following equation can be written for the number of cups as,

c = 768/x

Hence, the equation that describes the number of cups for the given case is c = 768/x.

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Answer:

750

Step-by-step explanation:

Answer:

Random sample of 500 residents of Story County

Step-by-step explanation:

SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.

Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.

Answer:

(x-1)x4+1

each value is increasing by exactly 4 for each step shown, starting with 1.

so, 2 becomes

(2-1)= 1

1x4= 4

4+1=5

Answer:

[tex]m > 1.75[/tex]

Step-by-step explanation:

1) Add 0.3 to both sides.

[tex]m > 1.45 + 0.3[/tex]

2) Simplify 1.45 + 0.3 to 1.75.

[tex]m > 1.75[/tex]

Therefor, the answer is m > 1.75.

Answer:

Area = 78.5 square feet

Step-by-step explanation:

Formula for area of a circle: A = pi r^2 or area = pi times radius squared

So the diameter = 10 feet

And radius is half of the diameter so radius = 5 feet

A = pi x 5 squared

A = pi x 25

A = 78.5 square feet

Answer:

A = 78.5 [tex]ft^{2}[/tex]

Step-by-step explanation:

A = π[tex]r^{2}[/tex]

diameter = 10

radius is half of 10 = 5

A = 3.14 x [tex]5^{2}[/tex]

A = 3.14 x 25

A = 78.5 [tex]ft^{2}[/tex]

Answer:

C

Step-by-step explanation:

0.5 red : 1 blue

1 red : 2 blue

1.5 red : 3 blue

2 red : 4 blues

2.5 red : 5 blue

3 red : 6 blue

3.5 red : 7 blue

4 red : 8 blue

(per every half a red, there is one whole blue)

C has 4 red and 8 blue

0.5 red x 8 blue = 4 red

1 blue x 8 blue = 8 blue

Answer:

[tex]x = \sqrt{36} = 6[/tex]

Hope it helps

Have a good day Ahead

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Respuesta:

183x + 356y = 3763

Explicación paso a paso:

Dejar :

Número de kilos de papel = x; número de kilos de cartón = y

Kilo de papel = 183; kilo de cartón = 356

Cantidad total ganada = 3763

(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)

(183 * x) + (356 * y) = 3763

183x + 356y = 3763

Answer:

Step-by-step explanation:

2 angles are added to result in = 180°

therefore

180 = 97 - 3x + 69 + 5x

180 = 166 + 2x

2x = 180 - 166

2x = 14

x = 14 ÷ 2

The value of x = 7

______________

#IndonesianPride

- kexcvi

Answer:

4x+2

[tex] - \frac{84}{5} [/tex]

3x+5

[tex] - \frac{91}{10} [/tex]

Step-by-step explanation:

i hope its correct

Answer:

3

This is the correct answer

Answer:

The walkway around the pool makes the entire outer dimensions (outer border)  

x+9+2x3=x+15  and  x+8+2x3

hope this helps!  could i get brainliest plz?

The expressions to represent the dimensions of the outside border of the walkway is  (x + 12) meters for the length and (x + 11) meters for the width.

Given area : [tex]x^2 + 17x + 72[/tex]

The factored form of the polynomial is:

[tex]x^2 + 17x + 72[/tex]  = [tex]x^2 + 8x+9x+72[/tex]

                      = x(x+8)+9(x + 8)

                          =(x + 9)(x + 8)

So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.

The length of the walkway = 3 meters wide

So, the length is added to each side of the pool.

Dimensions of the outside border of the walkway:

Length: (x + 9) + 3 = x + 12 meters

Width: (x + 8) + 3 = x + 11 meters

Therefore, the dimensions of the outside border of the walkway are

(x + 12) meters for the length and (x + 11) meters for the width.

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Answer:

θ ≈ 15°

Step-by-step explanation:

Using the sine rule in the triangle

note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then

[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )

2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )

sinθ = [tex]\frac{756sin125}{2400}[/tex] , then

θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )

Answer:

what is the dot for?

Step-by-step explanation: