The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5
Answer:
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3).
Step-by-step explanation:
xy = (x + y)^4
Using implicit differentiation:
x dy/dx + y*1 = 4 (x + y)^3 * (1 + dy/dx)
x dy/dx + y = 4 (x + y)^3 + 4 dy/dx (x + y)^3
x dy/dx - 4 dy/dx (x + y)^3 = 4 (x + y)^3 - y
dy/dx( x - 4(x + y)^3) = 4 (x + y)^3 - y
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3)
X:15 = 15:100
By solving x, we will get
x=225/100
x= 2.25
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To solve y, we need to make y the only value on the left hand side of the equation:
Therefore the value of y = -14+3x.
Hope it helps!
