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gayaneshka [121]
3 years ago
10

I REALLY NEED HELP!

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer:

<u>Cube with side 5 has volume:</u>

  • V = 5³ in³

<u>10 cubes have volume:</u>

  • V = 10*5³ in

<u>Cube has surface area:</u>

  • S = 6*5² in²

<u>10 cubes have surface area:</u>

  • S = 10*6*5² = 60*5² = 12*5³ in²
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Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is
andrew11 [14]

The correct answer is:

(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)

Further explanation:

The given equation of circle is:

x^2+y^2+6x+4y-3 = 0

In order to complete the square the terms have to be combined first

x^2+y^2+6x+4y = 3\\x^2+6x+y^2+4y=3\\(x^2+6x)+(y^2+4y) = 3

9 and 4 will be added to both sides of the equation to complete the square

(x^2+6x+9)+(y^2+4y+4) = 3+9+4\\(x^2+6x+9)+(y^2+4y+4) = 16

The next step completes the work

(x+3)^2+(y+2)^2 = (4)^2\\

Comparing with the standard form of circle

(x-h)^2 + (y-k)^2 = r^2\\x - h = x+3\\h=-3\\y-k = y+2\\k = -2

As the centre is (h,k), the centre of given circle will be:

(-3,-2)

Hence the correct answer is:

(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)

Keywords: Circle, Equation of Circle

Learn more about equations of circles at:

  • brainly.com/question/3055705
  • brainly.com/question/3333996
  • brainly.com/question/3456442

#LearnwithBrainly

4 0
3 years ago
Kevin and Randy Muise have a jar containing 82 ​coins, all of which are either quarters or nickels. The total value of the coins
mezya [45]

Answer: The jar contains 40 quarters and 42 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that they have in the jar.

Let y represent the number of nickels that they have in the jar.

Kevin and Randy Muise have a jar containing 82 ​coins, all of which are either quarters or nickels. This means that

x + y = 82

The total value of the coins in the jar is ​$12.10. This means that

0.25x + 0.05y = 12.1 - - - - - - - - - - - 1

Substituting x = 82 - y into equation 1, it becomes

0.25(82 - y) + 0.05y = 12.1

20.5 - 0.25y + 0.05y = 12.1

- 0.25y + 0.05y = 12.1 - 20.5

- 0.2y = - 8.4

y = - 8.4/ - 0.2

y = 42

x = 82 - y = 82 - 42

x = 40

7 0
3 years ago
3(x+4y)+5(2x-y) identify each of the properties used in each step
pashok25 [27]

Answer:

distributive property is used in this equation

Step-by-step explanation:

7 0
3 years ago
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Chris completed 20% of a 50 page reading assignment. How many pages did he read?
MrRissso [65]

Answer:

10 pages

Step-by-step explanation:

To find 20% of 50, multiply .20 x 50

.2 × 50 = 10

8 0
3 years ago
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What is the diameter of a 2m circle?
Varvara68 [4.7K]

Answer:

If 2m is the radius, the diameter is 4 meters.

2*2=4

6 0
3 years ago
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