1. Find the equation of the line AB. For reference, the answer is y=(-2/3)x+2.
2. Derive a formula for the area of the shaded rectange. It is A=xy (where x is the length and y is the height).
3. Replace "y" in A=xy with the formula for y: y= (-2/3)x+2:
A=x[(-2/3)x+2] This is a formula for Area A in terms of x only.
4. Since we want to maximize the shaded area, we take the derivative with respect to x of A=x[(-2/3)x+2] , or, equivalently, A=(-2/3)x^2 + 2x.
This results in (dA/dx) = (-4/3)x + 2.
5. Set this result = to 0 and solve for the critical value:
(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2 This results in x=(3/4)(2)=3/2
6. Verify that this critical value x=3/2 does indeed maximize the area function.
7. Determine the area of the shaded rectangle for x=3/2, using the previously-derived formula A=(-2/3)x^2 + 2x.
The result is the max. area of the shaded rectangle.
40/50= 0.8
293/1000=0.293
Step-by-step explanation:
40/50
= 0.8
293/1000
Since the zeros are three,move three times from backwards to forward.
=0.293.
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Answer: The equation doesn't look right, it's either there's too many symbols or you need to switch some things around.
Step-by-step explanation:
If 4=2^2
8=2^3
(2^)2x+10=(2^)6x
(2^)6x-(2^)2x=10
(2^)2x×7=10, where x has no real value
Answer:
They are related becasue if you find the area of a parallelogram then divide it by two then you have the area of a triangle
Step-by-step explanation:
