Answer:
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Answer:
y - 3 = - 1/4(x + 2)
Step-by-step explanation:
m = - 1/4
Point = (-2,3)
y-intercept = 3 - (- 1/4) (-2)
= 3 - 1/2 = 5/2
y = - 1/4x + 5/2
-5y+8=-3y+10
-5y+3y=10-8
-2y=2
-2y/-2=2/-2
y=-1
I grouped the alike variable to one side, and the number to the other side, added and subtracted it, divided both sides by -2, and got -1
Answer:
The area of the sector is 3pi/2
Step-by-step explanation:
A sector is that part of a circle bounded by 2 radii and an arc
The circle has an area of 9 pi with a central angle of 60 degrees.
Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.
Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.
Thus, the area of the sector is one-sixth the area of the circle.
The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi
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