Answer:
dy/dx = -5y - y/x
Step-by-step explanation:
In xy + 5x = 30
Differentiating xy implicitly
y + xdy/dx
Assuming u = xy
In xy = In u
Differentiating In u = 1/u = 1/xy
Differentiating 5x = 5 and differentiating a constant (30) = 0
1/xy(y + xdy/dx) + 5 = 0
(y + xdy/dx)/xy = -5
(y + xdy/dx) = -5xy
xdy/dx = -5xy - y
dy/dx = = (-5xy - y)/x
dy/dx = -5y - y/x
Answer:
x<1
Step-by-step explanation:
Answer:
$12
Step-by-step explanation:
Step 1:
$8 : 4 = x : 6
Step 2:
4x = 48
Answer:
x = 12
Hope This Helps :)
(701+y)/(3+1)<200
(701+y)/4<200
701+y<800
y<99
So the most yards they can allow in the next game is 98 yards
Answer:
132 square millimeters
Step-by-step explanation:
THe <u>lateral area</u> of a rectangular prism is the side areas. That is
all 4 sides of the rectangular prism (that are rectangles each).
So, we find each side area and add them up.
The area of a rectangle is:
Area = length * width
The left side (in gray) is 9 mm x 3mm, so area:
area = 9 * 3 = 27
The right side rectangle is same, so that would have an area of:
area = 9 * 3 = 27
Now, the front side's measurement is 3 x 13, so the area is:
Area = 3 * 13 = 39
THe back is same, so the area would be:
Area = 3 * 13 = 39
<u>Total Surface Area = 27 + 27 + 39 + 39 = 132 square millimeters</u>
