PLEASE HELP ASAP! Thanks!!!!! Explain:
1 answer:
Answer:
(3, 3) and (15, 15)
Step-by-step explanation:
The points equidistant from the given point and the y-axis lie on the parabola that has (3,6) as its focus and the y-axis as its directrix. The equation for that can be simplified from ...
(x -3)^2 +(y -6)^2 = x^2
-6x +9 +y^2 -12y +36 = 0 . . . . . subtract x^2, eliminate parentheses
We can find the points that lie on the line y=x (equidistant from both axes) by substituting y for x or vice versa. Then we have the quadratic ...
x^2 -18x +45 = 0 . . . . substitute x for y and collect terms
(x -3)(x -15) = 0 . . . . factor it
x = 3 or 15
So, the points of interest are (x, y) = (3, 3) and (x, y) = (15, 15).
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The picture in the attached figure
we know that
area of the <span>the shaded region=area of rectangle -area of a kite
area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x</span>²
area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²
area of the the shaded region=8x²-4x²-----> 4x²
the answer is
4x²
we know that
area of the <span>the shaded region=area of rectangle -area of a kite
area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x</span>²
area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²
area of the the shaded region=8x²-4x²-----> 4x²
the answer is
4x²