The common way of transforming the general form to the standard form is by using the completing the square method. But there is also a neat shortcut to knowing the h, k and r values right away.
The general formula is:
x²+y²+Dx+Ey+F = 0
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Solving for h:
-2h = 42
h = -21
Solving for k:
-2k = 38
k = -19
Solving for r:
-47 = (-21)² + (-19)² - r²
r = √849
Standard form of given circle is:
(x+21)² + (y+19)² = 849
Answers:
1) B
2) B
3) B
4) D
Step-by-step explanation:
24:X::36:12
( product of means = product of extremes )
24×12=36×x
288=36x
288/36=X
8=X. Answer
hope it helps
Step-by-step explanation:
the area is
A = length × width.
length = 3 × width
=>
A = 3 × width × width = 3 × width²
300 = 3 × width²
100 = width²
width = 10 ft
