We have the following equation:
x2 + y2 + 42x + 38y - 47 = 0
We rewrite the equation:
x2 + 42x + y2 + 38y - 47 = 0
x2 + 42x + y2 + 38y = 47
Rewriting we have:
x2 + 42x + (42/2) ^ 2 + y2 + 38y + (38/2) ^ 2 = 47 + (42/2) ^ 2 + (38/2) ^ 2
x2 + 42x + 441 + y2 + 38y + 361 = 47 + 441 + 361
Rewriting we have:
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
The center of the circle is:
(x, y) = (-21, -19)
The radio is:
r = root (849)
r = (849) ^ 2
A circle of the same radius is given by:
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
Let's check:
x ^ 2 - 50x + y ^ 2 - 30y + 1 = 0
x ^ 2 - 50x + y ^ 2 - 30y = - 1
x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + (-30/2) ^ 2 + (-50/2) ^ 2
x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + 225 + 625
(x-25) ^ 2 + (y-15) ^ 2 = 849
Answer:
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
(x, y) = (-21, -19)
r = (849) ^ 2
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
Answer:
The table shows the progress of a plant's growth. The height of the plant, y, is given by the table, where x is the number of days.
Which statements are correct?
A)
The rate of change is 2 cm.
B)
The plant's height at 10 days is 30 cm.
The plant's height at 30 days is 40 cm.
D)
The initial height of the plant is 0 centimeters high.
Step-by-step explanation:
The plant's growth can be modeled by the equation y-2x+10.
e is the answer please give me brain list
Quantity of dolls and horses are 10 and 5 respectively .
Selling prices of dolls and horses are $7 and $ 9 respectively .
And the commission on them are $2 and $ 3 respectively .
So net price = 10*(7-2) + 5(9-3) = 10+5 + 5*6 = 50+30 = 80
So the total value of the merchandise using net realizable value is $ 80. Therefore out of the given options, correct option is the last option .
Answer:
For 30 years at 5% = $354,625.2
For 20 years at 4.5% = $278,618.4
Step-by-step explanation:
The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).
1) For 30 years at 5%
Total number of months in 30 years = 30 x 12 = 360 months
Payback = $985.07 x 360 = $354,625.2
2) For 20 years at 4.5%
Total number of months in 20 years = 20 x 12 = 240 months
Payback = $1160.91 x 240 = $278,618.4
Answer: I believe its B
Step-by-step explanation:
