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sattari [20]
3 years ago
11

Use completing the square to rewrite the equation in the form (x-h)^2 +(y-k)^2 = r^2. State the center (h, k) and radius r of th

e circle
2x^2 + 2y^2 + 4x + 8y - 20 = 0
Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

The equation is (x + 1)^2 + (y + 2)^2 = 15

Center is at  (-1, -2) and radius = √15

Step-by-step explanation:

2x^2 + 2y^2 + 4x + 8y - 20 = 0

Divide through by 2:-

x^2 + y^2 + 2x + 4y - 10 = 0

x^2 + 2x + y^2 + 4x = 10

Completing the square on the x and y terms:-

(x + 1)^2 - 1 + (y + 2)^2 - 4 = 10

(x + 1)^2 + (y + 2)^2 = 10 + 1 + 4

(x + 1)^2 + (y + 2)^2 = 15    

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koban [17]
5. million 6. Ten thousand
6 0
3 years ago
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store.
sergiy2304 [10]

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less 

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

8 0
3 years ago
Read 2 more answers
LIONS SPEND ABOUT 5/6 OF THEIR DAY SLEEPING. HOW MANY HOURS A DAY DOES A LION SLEEP? WRITE AN EQUATION TO MODE YOUR WORK.
Alenkasestr [34]
So a day is 24 hours
24/6=4
4*5=20
so they spend 20 hours a day sleeping
here’s a full on equation
(24/6)*5
4 0
3 years ago
This is super easy ik it its just my brain hurts, will give branliest
natka813 [3]
.5x=10+.25x
.25x=10
x=40
When you buy 40 songs
The cost equals 20$
3 0
3 years ago
A 12 ounce bottle of shampoo last enrique 16 weeks.how lonh would you expect an 18 ounce bottle of the same brand to last him?
tankabanditka [31]
For Enrique a 12 ounce bottle lasts for 16 weeks. This is a known fact. We need to find the amount of days or weeks an 18 ounce bottle of the same brand of shampoo last.
Now
12 ounce bottle lasts = 16 weeks
                                   = (16 * 7) days
                                   = 112 days
18 ounce bottle lasts = (112/12) * 18
                                  = 168 days
                                 = 168/7 weeks
                                 = 24 weeks
So 18 ounce of the same brand of shampoo will last for 24 weeks.
4 0
3 years ago
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