Find the value of the variable such that: the value of 7m−3 is half as big as the value of 12m+1 asap! !

Translate the word problem into an algebraic equation, as follows:

7m-3 = (1/2)(12m + 1)

Perform the indicated multiplication:

7m-3 = 6m + 1/2

Solve for m by first subtracting 6m from both sides:

m-3 = 1/2

Next, add 3 to both sides:

m = 3 1/2, or m = 7/2

The value of the variable is 7/2.

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step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct