Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]

The correct option is B. Distributive property

Given,

[tex]\frac{2}{3} x+7=-5\\[/tex]

On solving the above equation,

multiplying both sides by 3 we, get

[tex]2x+21=-15[/tex]

now subtracting 21 from both the sides,

[tex]2x=-36\\[/tex]

dividing both the sides by 2 we get,

[tex]x=-18[/tex]

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

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3(x - 2) = 3x - 6 ---> Distributive

3+ (4 + 5) = (3 + 4) + 5 ---> Associative

- 4x - 8 = – 2(2x + 4) ---> Distributive

4.5.6=6.4.5 ---> Commutative

(2.3). 7 = 2 · (37) ---> Associative

Answer:

B.  y = 1/3x + 3

Step-by-step explanation:

Answer:  I think the answer is B

Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.

His sales tax will be $2.75.

Answer:

Vincent will be able to buy the sneakers, while David will not be able too.

Step-by-step explanation:

I believe this is true because for David,

6% of 86$ is 5.16$

so 86 + sales tax (which is 5.16) = 91.16$

David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.

While for Vincent,

9% of 86$ is 7.74$

so 86 + sales tax (which in this case is 7.74) = 93.74

Vincent has 95$ to spend so he can afford the shoes.

I am not exactly sure if all calculations are correct, but I hope this helps! :)

Answer:

Vincent          

I took the test on edg

Step-by-step explanation:

this is a strange rental company charging no daily fees.

but ok.

so, we have a fixed part of the cost : $24

we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.

and then we pay $0.35 for every mile driven.

that makes our function

C(x) = 0.35x + 24

and if we drive 40 miles, that makes x = 40.

C(24) = 0.35×40 + 24 = 14 + 24 = $38

it would cost us $38.

Answer:

the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt

Step-by-step explanation:

Sorry if this is late lol. Hope this helps other people too though.

Alternative interior

4 & 6

3 & 5

Corresponding

1 & 5

4 & 7

2 & 6

3 & 8

Alternative

1 & 8

2 & 7

Consecutive

4 & 5

3 & 6

Step-by-step explanation:

please mark me as brainlest

Answer:

Simplifying

X + 59 + 84 + X + 51 = 180

Reorder the terms:

59 + 84 + 51 + X + X = 180

Combine like terms: 59 + 84 = 143

143 + 51 + X + X = 180

Combine like terms: 143 + 51 = 194

194 + X + X = 180

Combine like terms: X + X = 2X

194 + 2X = 180

Solving

194 + 2X = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-194' to each side of the equation.

194 + -194 + 2X = 180 + -194

Combine like terms: 194 + -194 = 0

0 + 2X = 180 + -194

2X = 180 + -194

Combine like terms: 180 + -194 = -14

2X = -14

Divide each side by '2'.

X = -7

Simplifying

X = -7

Answer:

You didnt put anything for me to see lol

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

No, a constant is a number without a variable ( variables are represented with a letter )

y is a variable as it is a letter.

The constant in y + 2z + 45 + 5x would be 45 as it has no variable.

Answer:

D

Step-by-step explanation:

Substituting any value of x does not make the expressions equivalent. Replacing x for any two different values would equate to different unequal values.

Answer:

20 cups

Step-by-step explanation:

Michelle: 10 3/5 cups made

Leslie: 9 2/5 cups made

Steps:

First, let's turn each number into decimal form.

10 3/5 = 10.6

9 2/5 = 9.4

Then, add

9.4 + 10.6 = 20

Conclusion

They made 20 cups in all

Note:

Hope this helped :)

Have a nice day

Reply with any questions or concerns please :D

Answer:

Step-by-step explanation:

First, let’s flip the first term.

2^-x = 8^2-x

we can take ^3 out of the 8 to simplify

2^-x = 2^3(2-x)

-x = 3(2-x)

Now we solve for x.

x = 6

Hope this helps!

Answer:

-1.33 degrees Celsius

Step-by-step explanation:

Divide -16 by 12.

Answer:

1 oz of cream cheese to every 2 oz of condensed milk

Step-by-step explanation:

We can completely disregard whipped topping because it does not ask for it.

We have 6 ounces of cream cheese to 12 ounces of condense milk. We can write this as a ration:

6:12

6 oz cream cheese:12 oz condensed milk

The question is basically asking to simplify 6:12

Since the greatest commond factor is 6, we can divide both sides by 6 and get:

1:2

Therefore, there is 1 oz of cream cheese to every 2 oz of condensed milk

Answer:

2

Step-by-step explanation:

n = the smaller even integer

n +2 = the next even integer

The wording of the question translates into:

2n + (n+2) = -4

3n +2 = -4

3n = -6

n = -2

Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.

Hope that helps

Step-by-step explanation:

Volume = length ×width × height

therefore

5cm× 6cm×2cm=volume

60cm³= volume

Volume = length ×width × height

1200mm³=20mm×10mm×H

1200mm³=200mm²×H

1200mm³/200mm²=200mm²/200mm²×H

6mm= H

Volume = length ×width × height

72m³=L×3m ×6m

72m³= L× 18m²

72m³/18m²= L×18m²/18m²

4m =L

Volume = length ×width × height

256cm³=8cm ×w×8cm

256cm³=64cm²×w

256cm³/64cm²=64cm²/64cm²×w

4cm=w

Volume = length ×width × Height

379.6m³=5.2m×7.3m×H

379.6m³=37.96m²×H

379.6m³/37.96m²=37.96m²/37.96×H

10m=H

Volume = length ×width × Height

288mm³=L×12mm×8mm

288mm³= L×96mm²

288mm³/96mm²= L×96mm²/96mm²

3mm=L

Answer:

m∠D = 165°

Step-by-step explanation:

∠B and ∠C are congruent, so ∠B = 85°

The angles of the kite all added together have to add up to 360°

85 + 85 + 25 + x = 360

195 + x = 360

x = 165

Answer:

m∠D = 165°

Step-by-step explanation:

∠B and ∠C are congruent, so ∠B = 85°

The angles of the kite all added together have to add up to 360°

85 + 85 + 25 + x = 360

195 + x = 360

x = 165

Answer 2 1/10

work is shown in the picture above. I hope this helps.

Answer:

-17

Step-by-step explanation:

it's telling you to replace x with -3.

You have to replace all the x's with -3.

(-3)2 + (-3) - 8 = -17

Answer:

the answer : a

equation : 35 = x

35 = 7

35/7 = 5

5-2 = 3

Hey there!

(35 ÷ x) - 2

= (35 ÷ 7) - 2

= (5) - 2

= 5 - 2

= 3

Therefore, your answer is: Option A. 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]

The correct option is B which is 15 g.

Given to us:

the heat  [tex]Q= 350\ Joules[/tex],

the specific heat [tex]c= 1.2\ J/g\ ^o C[/tex],

the lower temperature [tex]t_1= 10^o C[/tex],

the higher temperature [tex]t_2= 30^o C[/tex],

Formula for specific heat:

[tex]Q=mc(\Delta T)[/tex]

where,

[tex]m[/tex] is the mass,

[tex](\Delta T)[/tex] is the temperature difference,

Putting in the values;

[tex]350=m\times 1.2\times (30-10)\\\\m= \dfrac{350}{1.2\times (30-10)} \\\\m=14.5833 grams[/tex]

Hence, the mass is 14.5833 grams. therefore, the correct option is B which is 15 g.

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