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VARVARA [1.3K]
3 years ago
13

What is the perimeter of this rectangle?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0
38 cm sum of all sides is equal to the perimeter 
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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
There are two spinners containing only white and green slices. Spinner A has 4 white slices and 1 green slice. All the slices ar
MrRa [10]

Answer:

Step-by-step explanation:

Ok, lets list the important things

  • only green and white slices
  • all slices same size
  • spinner A has 4/5 white slices and 1/5 green slices
  • spinner B has 3/12 white slices and 9/12 green slices

The 4 options are:

  • spinner B lands on a green slice
  • spinner A lands on a white or green slice
  • spinner A lands on a white slice
  • spinner B lands on a yellow slice

We already know that choice 2 is 100% probable and option 4 is 0% probability, because in option 2, the spinner A ONLY has white or green slices so the spinner must land on the slice. In option 4, no matter which spinner is spun no yellow slices are available to land on.

the chance of option 1 happening is 9/12 which is 3/4 which is 75%

the chance of option 3 of happening 4/5 which is 80%

option 1 has a 75% chance

option 2 has a 100% chance

option 3 has an 80% chance

option 4 has a 0% chance

this means that the order is:

1. option 4

2. option 3

3. option 1

4. option 2

because it is least likely to most likely.

hope this helped you out and if you need any questions feel free to ask

good luck in maths!

-cheesetoasty

7 0
3 years ago
it took Dean's family 3 hours to drive 195 miles on Friday. Then they drove at the same speed for 5 on saturday. how far did Dea
inn [45]

Hey!

Dean's family has been traveling on the same speed for two days, so to find how far you will need to travel you will need to find how far they are traveling in one hour..

To find this you will need to set up a proportion...

3/195 = 1/x

Solve this proportion by cross multiplying and then dividing..

195 * 1 = 195/3 = 65

This tells you that they are traveling 65 miles per hour. Now with this you will simply have to multiply 65 by 5 to tell you how far they would be traveling in 5 hours with the given speed...

65 * 5 = 325

Your answer of 325 miles tells you how far they traveled.


Hope it Helped!

~A

6 0
3 years ago
3x+5=23 what is the value of x?
Juliette [100K]

Answer:

x = 6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
(NEED HELP WILL MARK BRAINLIEST)
Monica [59]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
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