WE need to complete the square on the x and y terms:-
25x^2 - 100x - 9y^2 - 90y = 350
25(x^2 - 4x + ) - 9(y^2 + 10x ) = 350 + 25( ) - 9( )
25(x^2 - 4x + 4 ) - 9(y^2 + 10x + 25) = 350 + 25(4) - 9(25)
25(x - 2)^2 - 9(y + 5)^2 =
25(x - 2)^2 - 9(y + 5)^2 = 225
---------------- -------------- --------
225 225 225
( x - 2)^2 (y + 5)^2
------------- - -------------- = 1 Answer
9 25
A/c = 8.....a = 8c
a * c = 2 ...a = 2/c
a/b = -16 ...a = -16b
a * b = -1....
b/c = -0.5
2/c = 8c
2 = 8c^2
1/4 = c^2
sqrt 1/4 = c
0.5 (or 1/2) = c <===
a * c = 2
0.5a = 2
a = 2/0.5
a = 4 <===
a = -16b
4 = -16b
4/-16 = b
-1/4 (or - 0.25) = b <===
Answer:
Length = 22 feet Width= 8.5 feet
Step-by-step explanation:
Perimeter= 61
Let Width= x
Length= 2x+5
Perimeter= 2l + 2w
61= 2(2x+5) + 2x
61 = 2(2x+5+x)
61/2 = 3x+5
30.5 -5 = 3x
25.5 = 3x
25.5/3 =x
x= 8.5
Hence, width = 8.5 feet
Then, the length = 2x+5 = 2(8.5) +5 = 22 feet
Hope this helps!
