The line 6x - 2y = 12 goes through -6 on the y-axis and 2 on the x-axis ie through (0, -6) and (2, 0)
The line will be solid and shaded above (towards the origin)
There are an infinite number of choices for the example points!
Here is my selection.
(0, 0) is in the solution set. 6 x 0 - 2 x 0 = 0 which is less than 12
(5, 0) is not in the solution set. 6 x 5 - 2 x 0 = 30 which is greater than 12
(2, 0) is on the line. 6 x 2 - 2 x 0 = 12
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
Answer:
Y=6
X=0
Step-by-step explanation:
Hope this helps
No solution for the quadratic equation because of the √-20
Answer:
1 1/6
Step-by-step explanation:
4 2/3 ÷ 4
Convert the mixed number into an improper fraction:
4 2/3 = 14/3
14/3 ÷ 4
14/3 ÷ 4/1
Use cdf (copy dot flip)
14/3 × 1/4
14 × 1 / 3 × 4
14/12
Convert improper fraction into a mixed number:
14/12 = 1 2/12
1 1/6
