Answer:
≈ 15.08 units²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × ( r is the radius )
= π × 6² ×
= 36π × = π ×
=
≈ 15.08
If the coordinates of A and B are (-3, a) and (1, a+4) respectively and the mid point of AB is (-1, 1),
1 answer:
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The trick is to exploit the difference of squares formula,
Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:
Whatever you do to the denominator, you have to do to the numerator too. So
Expand the numerator:
So we have
But √12 = √(3•4) = 2√3, so
The equation of a line starting from two points is:
From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10
Replace x1, y1, x2, y2 in the equation of the line and you get:
From this you get the equation of your line:
From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10
Replace x1, y1, x2, y2 in the equation of the line and you get:
From this you get the equation of your line: