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Putting both equations into standard form, we have the system
x -2y = 4
x -2y = -12
The lines these equations describe are parallel.
x -2y = 4
x -2y = -12
The lines these equations describe are parallel.
Answer: x = 6
Step-by-step explanation:
1/3 ( 12x - 24 ) = 16 , this equation could be written as :
cross multiply , we have
12x - 24 = 3 x 16
12x - 24 = 48
Add 24 to both sides , we have
12x = 48+ 24
12x = 72
Divide both sides by 12
x = 72 / 12
x = 6
First, pretend the semicircle isn't cut out of the triangle and find the area of that equilateral triangle using the equation:
where l=the length of one side of the triangle (2+2+4=8mm).
Then find the area of the semicircle using the equation for the area of a circle:
where r=the radius of the circle (4/2=2mm) and then dividing the area you get by 2 to get the area of the semicircle.
Finally subtract the area you got for semicircle from the area of the entire equilateral triangle.
where l=the length of one side of the triangle (2+2+4=8mm).
Then find the area of the semicircle using the equation for the area of a circle:
where r=the radius of the circle (4/2=2mm) and then dividing the area you get by 2 to get the area of the semicircle.
Finally subtract the area you got for semicircle from the area of the entire equilateral triangle.