Find ing the common denominator would make it 10.
for 1/2 to get to 10 you have to multiply by 5
1/2x5= 5/10
then you have to convert 2/5 to get the denominator to be 10
so you multiply 2/5 by 2
2/5x2= 4/10
5/10 is greater than 4/10
Perimeter: 36.84 feet
Let’s start with the easy part...all the rectangle pieces 6 x 3 = 18 feet
We know from subtracting the rectangle length (6ft) from the total length (12 ft) that the diameter of the circle is 6ft.
Circumference = diameter x pi
= 6 x 3.14 = 18.84
We have the circle split into 2 halves, but the circumference remains the same
18 + 18.84 = 36.84
First we need to calculate how fast she was going in one hour:
116 / 5.8 = 20
then multiply that by 5 to get how far she will go in 5 hours
20 * 5 = 100
You can identify the lines and their colour either by
1. the y-intercepts.
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).
Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).
So at the point, it won't be too hard to find the correct region.
To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.
