Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
-36=(-3+9)(-3-3)+c
-36=(-6)(-6)+c
-36=36+c
c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99
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
Well first find the area of the semi-circle.
If the area of a cricle is equal to pi*radius^2 , then you can just find that and divide by 2.
So, A = pi*2^2. = 4pi
We know that the radius is 2 because the length of the side of the rectangle is 4, meaning that the diameter of the semi-circle is 4, and so the radius is 2 as it is half of the diameter.
We can easily calculate the area of the rectangle, which is
Length * width = 6*4 = 24.
Next we divide 4pi by 2 in order to get the area of the semi-circle, giving us an area of 2pi
We can just subtract 2pi from 24 and get the area of the shaded region.
Area of the shaded region (answer): 17.7
Answer:
z = 15
Step-by-step explanation:
The sum S of the interior angles of a regular polygon is given by the formula
S = (n-2) x 180 where n is the number sides
Here n = 9
So S = (9-2) x 180 = 7 x 180 = 1,260
There are 9 interior angles and each angle is (5z + 65)
So the sum of all 9 interior angles = 9 (5z + 65)
= 45z + 585
Set these equal to each other and solve for z
45z + 585 = 1260
45z = 675
z = 675/45 = 15
No area is shown. So befoe sam divided it,
the area of tge original rectangle was . . .
8 x 0 = zero .
