Given kite LNOM, what are the lengths of MX and XN ?
1 answer:
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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 =
Answer:
s =
Step-by-step explanation:
s = ut + at² ( substitute the given values into the equation )
s = ( 3 × ) + (
× - 12 × (
)² )
= 1 + (- 6 × )
= 1 + ( - )
= 1 -
=