Answer:
B
Step-by-step explanation:
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.
Answer:
68% are quarters
Step-by-step explanation:
Percent means out of 100
34/50
Multiply by 2/2
34/50 *2/2
68/100
This means 68 percent
Answer:
6
Step-by-step explanation:
1/2 * 1/2 * 2 * 12 =
1/2 * 12 (because the 1/2 and 2 cancel out, as they form 1) =
6
Well 24=4*6, and 35=7*5 not 6, so 4/7 doesn't = 24/35, so no
