Answer:
4 bags of cat food because food for pets are expensive
Answer:
Step-by-step explanation:
We are to determine which of these expressions are equivalent to: 
Therefore, the two equivalent expressions are:
We can either convert them to decimals or to fractions
if decimals
2/3=0.66666666
4/5=8/10=0.8
so the order is
-0.6, 0.65, 0.66, 0.8 or
-0.6, 0.65, 2/3, 4/5
if conver to fractions then
since -0.6 is negative, it is smallest, no need to convert
0.65=65 hundreths=65/100
2/3=66/99=prety close
4/5=8/10=80/100
order is
-0.6, 65/100, 66/99, 80/100 or
-0.6, 0.65, 2/3, 0.8
A graph can help you find the appropriate choice to be
... B. 8.49
The area of the triangle is
A = (xy)/2
Also,
sqrt(x^2 + y^2) = 19
We solve this for y.
x^2 + y^2 = 361
y^2 = 361 - x^2
y = sqrt(361 - x^2)
Now we substitute this expression for y in the area equation.
A = (1/2)(x)(sqrt(361 - x^2))
A = (1/2)(x)(361 - x^2)^(1/2)
We take the derivative of A with respect to x.
dA/dx = (1/2)[(x) * d/dx(361 - x^2)^(1/2) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(x) * (1/2)(361 - x^2)^(-1/2)(-2x) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(361 - x^2)^(-1/2)(-x^2) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(-x^2)/(361 - x^2)^(1/2) + (361 - x^2)/(361 - x^2)^(1/2)]
dA/dx = (1/2)[(-x^2 - x^2 + 361)/(361 - x^2)^(1/2)]
dA/dx = (-2x^2 + 361)/[2(361 - x^2)^(1/2)]
Now we set the derivative equal to zero.
(-2x^2 + 361)/[2(361 - x^2)^(1/2)] = 0
-2x^2 + 361 = 0
-2x^2 = -361
2x^2 = 361
x^2 = 361/2
x = 19/sqrt(2)
x^2 + y^2 = 361
(19/sqrt(2))^2 + y^2 = 361
361/2 + y^2 = 361
y^2 = 361/2
y = 19/sqrt(2)
We have maximum area at x = 19/sqrt(2) and y = 19/sqrt(2), or when x = y.
