The area is 81*pi-162. Look at the triangle formed by the chord and the two radii connected to the endpoints of the chord. Since 18^2+18^2=(18*\sqrt2)^2, this is an isosceles right triangle by Pythagorean theorem. The area of the quarter circle containing the region we look for is pi*18^2/4=81*pi. The area of the right triangle is 18*18/2=162. The difference between these two areas, or 81*pi-162, is the area of the smaller region.
Answer:
a) e(0,2)
b) 1
c) read below
d) read below
Step-by-step explanation:
Midpoint:
to calculate the midpoint e of a segment
e((x1+x2)/2, (y1+y2)/2)
so (-1+1)/2 and (3+1)/2
e(0,2)
Slope formula:
the slope of a straight line between two points is

so between e and B it's equal to (4-2)/(2-0) = 1
Condition for perpendicularity : slope(AC) = -1/slope(eB) = -1
so we calculate the slope of a straight line through A and C
(1-3)/1-(-1) = -2/2 = -1 so they are perpendicular
Area:
eB is the height of the triangle as it's perpendicular to the base, so applying the standard formula Area = (AC*eB)/2 we can find the area
If the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.
Given that the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now.
We are required to find the present age of the father and daughter.
Suppose the present age of the father is x.
Suppose the present age of his daughter is y.
We are given product of present ages be 430.
xy=430----------1
y=430/x
According to question,
x-3=4y
Put the value of y=430/x.
x-3=4*430/x
-3x=1720

x=(3±
)/2*1
x=3±
)/2
x=(3±83)/2
x=(3+83)/2
(Ignoring the negative value because the age cannot be negative as it is coming before the greater number)
x=43
y=430/x
y=430/43
y=10
Hence if the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.
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Okay, so im not 100% sure on this, but, A(0,-3) B(3,-2) C(1,-1), again, not 100%, but only because of the reflection across the y=-x