Answer:
the second option
Step-by-step explanation:
in ax²+bx+c = 0:
subtract both sides by 6 to get to this form, as the right side will be left with 0
6x² + 8x - 6 = 0
here, the coefficient for x² (a) is 6, the coefficient for x (b) is 8, and the remaining number added on (c) is -6
plugging our numbers into the formula, we get
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width =
Area = l*w =
Use derivative test
I derivative =
II derivative =
Equate I derivative to 0 and consider positive value only since we want maximum
p =
Thus width=
Length =
Width =