Answer:
x+5
Step-by-step explanation:
3(x-1) -2(x-3)
3x-1-2x+6
x+5
-x + 2y = -4
-x = -2y - 4
x = 2y + 4
5(2y + 4) - 4y = 8
10y + 20 - 4y = 8
6y + 20 = 8
6y = -18
y = -3
-x + 2y = -4
-x + 2(-3) = -4
-x - 6 = -4
-x = 2
x = -2
The coordinate pair is (-2, -3) (x = -2, y = -3.)
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2.4 x 10^6 the answer to the question
Answer:
Step-by-step explanation:
Brigitte is putting a border, so she needs a perimeter
P=2(L+W)=2L+2W= 2*12+2*14.5=24+29=53
Answer: 8π square meters
Explanation:
First, we convert the angle of the sector to radians, which is 30 degrees.
Note that 180 degrees is equal to π radians. Since 30 degrees is equal to 180 degrees divided by 6,
30 degrees = π/6 radians
Thus, the angle of the sector in radians is π/6.
So, the area of the sector is given by
(Area of sector) = (1/2)(radius)²(angle of the sector in radians)
= (1/2)(radius)²(π/6)
= (π/12)(radius)²
= (1/12)(π)(radius)²
Note that
(Area of the circle) = (π)(radius)² = 96π
Therefore, the area of the 30-degree sector is given by
(Area of the sector) = (1/12)(π)(radius)²
= (1/12)(Area of the circle)
= (1/12)(96π)
(Area of the sector) = 8π square meters
