Answer:
dy/dx = 0
Step-by-step explanation:
In y + y^2 = 10
Differentiating In y = 1/ydy/dx
Differentiating y^2 = 2ydy/dx
Differentiating a constant (10) = 0
1/ydy/dx + 2ydy/dx = 0
dy/dx(1/y + 2y) = 0
dy/dx = 0/(1/y + 2y) = 0
Answer:length =7⅓
Width =14⅔
Step-by-step explanation:
Take length as x
And 2x as width
Perimeter as 44
Formula to get perimeter of a rectangle is 2l+2w
X+x+2x+2x=44
6×=44
X=7⅓
Length =x and x = 7⅓ so width =7⅓ while width =14⅔
Answer:
(G:S) = (3:20)
Step-by-step explanation:
Let represent number of Sara flips by S
And number of Geena flips by G
From the information
Geena can do 120 more flips than sara
∴G = S + 120
Also ratio (S:G) = (3:8)
Meaning that G = 8 and S = 3
G= S + X
X = G - S
X = 8 - 3
X= 5
This mean 120 is the ratio of X
Ratio of 1 will be equal to 120/5
24
Ratio S = 24 x 3 = 72
Ratio G= 24 x 8 = 192
The original ratio (G:S) = (72:192)
If Geena reduces her flip by 12
That Is 192 - 12= 180
And Sara increases her flip by 3
24+3= 27
Then the new ratio will be
(27:180)
If you divide through by 9 the new ratio will be
27/9 =3 : 180/9 = 20
(G:S) = (3:20)
