We are given the equations 3x+5y=-3 and x-5y=-5.
Both equations have a 5y term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.
3x + 5y = -3
+x - 5y = -5
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4x + 0y = -8
The y terms cancel out since one is positive and one is negative. Now we can solve for x.
4x = -8
x = -2
Now plug -2 in for x in one of the original equations to find y.
(-2) - 5y = -5
-5y = -3
y = 3/5
Our answer as an ordered pair is (2, 3/5)
Answer: The mixed number 5 & 1/2
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Work Shown:
1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2
3 & 2/3 = 3 + 2/3 = 9/3 + 2/3 = 11/3
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Multiplying 1&1/2 with 3&2/3 is the same as multiplying 3/2 and 11/3
(3/2)*(11/3) = (3*11)/(2*3) = 11/2
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Use long division to find that 11/2 = 5 & 1/2
Or you can break it up like this
11/2 = (10+1)/2 = 10/2 + 1/2 = 5 + 1/2 = 5 & 1/2
Answer:
Connect the intersections of the diameters and the circle with a segment
Step-by-step explanation:
Assuming the construction creates two orthogonal diameters, their ends will be the vertices of the inscribed square. Connecting them with segments in order around the circle will create the square.
