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3 years ago

What is the reason for each step in the solution of the equation 12-5x+6x=4

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

Answer: x=-8

Step-by-step explanation: 12-5x+6x=4 1. Combine like terms: -5x+6x+12=4 2. Simplify: x+12-12=4-12 3. Subtract 4 from -12 so that you can find out what x is: x=-8

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The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

<h3>What are perfect squares trinomials?</h3>

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

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Comparing this expression with the expression we're provided with:

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$a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\$

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

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2 years ago

Which values of a and b make the following equation true?

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3 years ago

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The formula for the triangle for area is 1/2 time base times hight

The forumale fot the triangle for volume is 1/2 time base times hight

So for number #4 it will be 1/2 x 3 x 7

and number #5, it will be 1/2 x 8 x 12

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2 years ago