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Answer:
In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Step-by-step explanation:
Given equation is -14(3a+6)=12(6-4a)+12
To simplify the given equation:
-14(3a+6)=12(6-4a)+12
Taking all terms to one side
-14(3a+6)-12(6-4a)-12=0
-[14(3a+6)+12(6-4a)+12]=0
Now dividing by negative sign on the above equation we get
14(3a+6)+12(6-4a)+12=0 (using distributive property)
42a+84+72-48a+12=0 ( adding the like terms )
-6a+168=0
-6a=-168
6a=168

Therefore a=28
Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Step-by-step explanation:

Factor by grouping,

Complete the square, with the x variables,

Factor out 25 for the y variables

Complete the square

Simplify the perfect square trinomial

Make the right side be 1 so divide everything by 25.

Here our center is (7,2).
Since the properties of a rhombus tells us that both pairs of opposite sides are congruent we can therefore conclude that DB will be 12
Answer:
The sum rule is f' + g'
The difference rule is f' − g'
The product rule is f g' + f' g
The quotient rule is (f' g − g' f )/g2