<span>x^2 + y^2 – x – 2y – 11/4 = 0
x^2 - x + y^2 - 2y = 11/4
Using completing the square method:
x^2 - x + 1/4 + y^2 - 2y + 1 = 11/4 + 1 + 1/4
(x - 1/2)^2 + (y - 1)^2 = 4
coordinates: (1/2 , 1)
radius: sqrt (4)</span>
The answer should be the number 2
Answer:
x = 7, x = -3
Step-by-step explanation:
(x - 2)^2 = 25
Take the square root of each side
sqrt((x - 2)^2) =±sqrt( 25)
x-2 = ±5
Add 2 to each side
x-2+2 = 2±5
x = 2±5
x = 2+5, x=2-5
x = 7, x = -3
The reciprocal of a number is 1/(the number) .
The reciprocal of 5/8. is. 8/5 .
Answer:
They have 48 cards.
Step-by-step explanation:
let s be the number of Shauntay's cards and j be the number of Jessica's cards.
The ratio of Shauntay's cards to Jessica's cards is 5 to 3, then
(1)
=
After Shauntay gives Jessica 12 of her cards, both girls have the same number of cards, then
(2) s-12 =j+12.
From (2), we get s= j+24. If we put j+24 instead of s in (1) we get:
=
3×j+24×3 = 5×j From this we get;
2×j=72 and j=36
After Shauntay gives Jessica 12 of her cards, Shauntay and Jessica would have 48 cards.