Hi,
The answer you are looking for is x= -3.
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It is a linear equation (ie., no x²), so solution should be possible.
First, let's get rid of the brackets:
2/4 x - 1/4 + 1/5 x - 1/5 = 2
Next, lets change the denominator to 20, the least common multiple of 4 and 5:
10/20 x - 5/20 + 4/20 x - 4/20 = 40/20
Then simplify by taking the x terms together and the constant terms:
14/20 x = 49/20 (now multiply by 20 to remove the denominator)
14x =49 (now divide left and right by 14)
x = 49/14 (divide numerator and denominator by 7)
x = 7/2
Of course, there's any order in which you can perform these operations. They should all lead to the same answer.
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Answer:
All the 3 expressions are equivalent.
Step-by-step explanation:
1/2 ( x + 4 )
= x/2 + 4/2
= x/2 + 2
x/2 + 2 is same as 2 + x/2
The coordinate of the circumcenter of a triangle is (1,3).
Here we have to find the coordinates of the circumcenter of a triangle.
Given data:
The vertices of the triangle are:
A = (0,1)
B = ( 2,1)
C= ( 2,5)
The formula to find the distance between the two points:
Distance =
In the same manner distance between AB, BC, and AC are:
AB =
= 2
BC =
= 4
AC =
= 2√5
So by the Pythagoras, we get to know that the triangle is a right-angle triangle.
The circumcenter of a right-angle triangle is the midpoint of the hypotenuse.
Midpoint of AC = (0+2)/2 , (1+5)/2
= 2/2, 6/2
= 1,3
Therefore the coordinate of the circumcenter is (1,3).
To know more about the circumcenter refer to the link given below:
brainly.com/question/21299234
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