Answer
Find out the which coordinate pair identifies the center of the circle represented by 4x² + 4y² − 16x − 24y + 36 = 0.
To prove
The general equation of the circle is
(x - h)² + (y - k)² = r²
Where h,k are the centre and r is the radius.
4x² + 4y² − 16x − 24y + 36 = 0
Divided both side by 4.
x² + y² − 4x − 6y + 9= 0
Add and subtract 4 and 9
x² + y² − 4x − 6y + 4 -4 +9 - 9 +9= 0
x² + y² − 4x − 6y + 4 -4 + 9 - 9 +9= 0
x² + 4 - 2× 2 × x + y² + 9 - 2 × 3 × y = 9 + 4 - 9
using the formula ( a + b )² = a² + b² +2ab
(x - 2)² + (y - 3)² = 2²
Compare this with the general equation of circle.
Thus
h = 2 , k = 3
Option A is correct .
Answer:
(x² - 3)(x² + 3)
Step-by-step explanation:
- 9 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
- 9
= (x² )² - 3²
= (x² - 3)(x² + 3)
X/6 + 7 = 20
subtract 7 from each side
x/6 + 7 - 7 = 20 - 7
x/6 = 13
multiply each side by 6 to get x alone
x/6 • 6 = 13•6
x = 78
They can show change on how much time passed.
Answer:
well it depends
Step-by-step explanation:
If there are 7 blocks and 3 are yellow the fraction is 3/7
