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Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]

Step-by-step explanation:

Given

the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]

completing the square

[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]

Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]

Answer:

397

Step-by-step explanation:

well we know that 6*105= 630 and 2*103 = 206 so we subtract 206 from 630 giving us 397

hope this helps.

Answer:

6×105=630

Step-by-step explanation:

2×103=206 so 6×105 is greater with 424 yimes2×103.

Answer:

Angle = A

A7 = A4 (Alternate interior angles)

A14 = A11 (Vertically opposite angles)

A11 = A6(Corresponding angles)

A4 = A14 (Given)

From this, we can get A6 = A4

A6 and A4 are alternate angles and are equal. So c and d are parallel.

A7 + A10 = 180 (Linear pair of angles) - ( 1 )

A13 = A10(Alternate interior angles)

Putting A13 in place of A10 in ( 1 ),

A7 + A13 = 180

Hence proved

Ask doubts if any

Answer:

The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.

Step-by-step explanation:

Answer:

angle z= 96°

angle x = 33

I hope it's helps you

Answer:

z = 96

x = 33

Step-by-step explanation:

Given that g and h are parallel, we can assume that 84 and z will be equal to 180.

[tex]84 + z=180\\z= 96[/tex]

Then we make the , simple algebra work!

[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]

It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.

Answer:

[tex]648\sqrt{6}[/tex]π

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]π(9√6)³

=[tex]\frac{4}{3}[/tex]π81*6*√6

=(486*[tex]\frac{4}{3}[/tex])√6π

=648√6π

Answer:

x^2 -11x+28

Step-by-step explanation:

See Image below. I hoped this helped :)

Answer:

solution given:

equivalent (2 - 6) cubed=(-4)³=-64

Answer:

x = number of wheelbarrow = 40

y = number of wagon = 30

Step-by-step explanation:

Let

x = number of wheelbarrow

y = number of wagon

x + y = 70 (1)

x + 4y = 160 (2)

subtract (1) from (2) to eliminate variable x

4y - y = 160 - 70

3y = 90

y = 90/3

y =30

Substitute y = 30 into (1)

x + y = 70 (1)

x + 30 = 70

x = 70 - 30

x = 40

x = number of wheelbarrow = 40

y = number of wagon = 30

Answer:

Step-by-step explanation:

Answer:

plug in the day to the equation:

November 1st is day 305, so November 24th would be day 328

y = 116.65 sin(0.02(328) +1.89) + 731.71

= 116.65 sin(8.45) + 731.71

= 828.247 minutes of daylight

≈ 13.8 hours or 13:48 (because .8 of an hour is ≈ 48 minutes)

Respuesta:

3.3 × 10⁴ m

Explicación paso a paso:

Paso 1: Información provista

Superficie de la parcela cuadrada (S): 1089 km²

Paso 2: Determinar la longitud del lado (l) de la parcela

Podemos determinar la superficie de un cuadrado usando la siguiente fórmula.

S = l²

l = √S = √1089 km² = 33 km

Paso 3: Convertir "l" a metros

Vamos a usar el factor de conversión 1 km = 10³ m.

33 km × 10³ m/1 km = 3.3 × 10⁴ m

Answer:

y=10/x

Step-by-step explanation:

Y=k/x

Y=2 & x=5 implies k=10

Hence, y=10/x is the desired equation of the hyperbola

...................................................................................................................................................

Answer:

The equation is  and  y = 2 , x = 5 the value of k is 10 .

Step-by-step explanation:

As given

y varies inversely with x.

Where k is the constant of proportionality .

Thus the equation for the  inverse variation .

As given

y = 2 when x = 5

Put all the values in the equation  .

k = 2 × 5

k = 10

Thus the constant of variation is 10 .

Therefore the equation is  and when y = 2 , x = 5 value of k is 10 .

...............................................................................................................................................

y

=

10

x

Explanation:

y

varies inversely with  

x

⇒

y

∝

1

x

∴

y

=

k

x

y

=

2

,

x

=

5

gives

2

=

k

5

⇒

k

=

2

×

5

=

10

y

=

10

x

Answer link

...............................................................................................................................................

Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for  any x

...............................................................................................................................................

The answer is y=10/x

La respuesta correcta para esta pregunta abierta es la siguiente.

Desafortunadamente, no nos especificas a qué escuela te refieres, ni al lugar, condado, pueblo, región o ciudad. Hay miles de grupos de"5to Grado." ¿A cuál de todos te refieres?

Tampoco especificas si esta es una pregunta de cultura en general, de música, o es algún problema de matemáticas o estadística.

Si fuera de matemáticas, también se te olvidó incluir todos los datos, números y nombres para ayudarte a responder.

Sin embargo, con la idea de ayudarte un poquito, podemos comentarte lo siguiente de manera general.

El tipo de música grupera de banda gusta más entre los alumnos de quinto grado es generalmente la música de banda como la Banda Machos, los Tucanes de Tijuana, La Banda MS, la Banda el Recodo de Cruz Lizárraga, la Banda Mexicana o la Banda Arrolladora. Estas bandas mexicanas son muy populares en México, Centro y Sudamérica y los Estados Unidos.

Answer: 70 chickens

Step-by-step explanation:

7:2

Chickens to ducks

5:9

Ducks to pigs.

There are 36 pigs. 9 is the ratio of pigs.

5 : 9

? : 36

9 x 4= 36

So multiply 5x4 to find the total ducks

=20 ducks

7 : 2

? : 20

So, 2x10 is 20 (ducks)

So 7x10 to find the chickens

(You have to balence out the sides and keep it equal

So if one side is multiplied by 10, the other is too)

7x10

= 70 chickens

The number of chickens in the farm is 70 chickens

The ratio of chickens to ducks is

7:2

The ratio of ducks to pigs is

5:9

There are 36 pigs in the farm

The first step is to calculate the total number of ducks

9-5

= 4

= 5×4

= 20 ducks

The next step is to calculate the number of chickens

= 7×10

= 70 chickens

Hence there are 70 chickens in the farm

Please see the ink below for more information

https://brainly.com/question/847212?referrer=searchResults

Answer:

Following are the responses to the given question.

Step-by-step explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]

Formula:

[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]

For d1:

[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]

[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]

  [tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]

For d2:

[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]

[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]

  [tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]

The first distance value is greater than the second distance value.

Answer:

7x + 27 = -17

Step-by-step explanation:

2x + 5x = 7x

3y + (-y) = 2y

-5 + (-12) = -17

Combine them to make the added equation.

7x + 2y = -17.

Answer:

The toy falls at a rate of at least a Negative one-half meter per second.

Step-by-step explanation:

Answer:

the awnser is a or the pool is 1 meter deep

Step-by-step explanation:

i am smart and i got it right when i did it

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

3 ^ −2

= 1 / 9

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Answer:

4 ^ -3

= 1 /64

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Answer:

21 ^ -1

= 1 / 21

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

5^ 2 / 5 ^ 3

= 1 / 5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

9 ^ 3

= 1 / 729

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Brainlist?

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Answer:

2 1/7 kg

Step-by-step explanation:

Multiply 5/7 kg by 3, obtaining 15/7 kg, or 2 1/7 kg

In accordance with the research problem we were given, Pete outran Jacob by 37 seconds.

Minutes are the 60 equal pieces that make up each degree. Thus, 7 to 8 inches can also be written as seven degrees and thirty minutes, or seven°30'. For example, 2 ° 5 minutes and 30 seconds are represented by the notation 2° 5' 30 since each minutes is further subdivided into 60 equal seconds.

Then, we have Pete's time: First, we convert minutes into seconds. 13 minutes and 39 seconds is equal to 13 * 60 + 39, or 819 seconds.

Jacob's period: 14 minutes and 16 sec. = 14 * 60 + 16 sec. = 856 sec.

Jacob outpaced Pete by 856 – 819 = 37 seconds.

Pete ran 37 seconds faster as a result.

To know more about Seconds visit :
https://brainly.com/question/12481383

#SPJ1

Answer:

18c + 36

Step-by-step explanation:

Rearrange Terms:

9 (4 + 2c) =

9 (2c + 4) =

18c + 36

Hope this helps! :)

Answer:

3 as well lol?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

The final cost of the water is $3.22.

Step-by-step explanation:

In order to find the answer, you have to add the tax to the price of the 32 pack of water by calculating 8% of the price and adding that amount to it.

2.98*8%=0.24

2.98+0.24=3.22

According to this, the answer is that the final cost of the water is $3.22.

Answer:

D

Step-by-step explanation:

add all together = 140

make a proportion

59/140=x/300

cross multiply

140x=17700

126.4285

Answer:

42cm²

Step-by-step explanation:

*internal screaming* okay, let's go:

So, at this point, I don't even know what I'm doing, so I'm not going to guarantee that this is right, I'm sorry, but let's do some random math:

So we know that the length (the top and bottom) of the rectangle is 7 cm, we just have to figure out the width (the sides), and we're gonna do that by:

0.5 x 2 = 1

7 - 1 = 6

So now we just do the basic rectangle area calculation:

7 x 6 = 42

So, I hope that the area of the shaded area is 42cm²

if this is wrong, let me know so I can fix it

hope this helps:/

Answer:

You lose $0.833 while Rick gains $0.833, and so Rick is not Loco

Step-by-step explanation:

There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6

Probability of rolling two is 2/6.

Rolling a 1 pays $25, and probability = 1/6

Rolling a 2 pays $5,and probability = 1/6

Rolling a 3 pays $0, and probability = 1/6

Rolling a 4 or 5 pays -$10, and probability = 2/6

Rolling a 6 pays -$15, and probability = 1/6

Thus,lets calculate the expected value;

EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)

EV = - $0.833

This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.