Please help!

2 answers:

7 0

Lets solve the equation first:
 0.5 – |x – 12| = –0.25
= 1/2 - |x - 12| = -1/4
= 2 - 4|x - 12| = -1
= 4|x - 12| = 3
= |x - 12| = 0.75
positive case, x >= 12
x - 12 = 0.75
x = 12.75
negative case, x < 12
x - 12 = -0.75
x = 11.25
So those are the two solutions.
These apply:
1.) The equation will have no solutions.
2.) A good first step for solving the equation is to subtract 0.5 from both sides of the equation.
3.) A good first step for solving the equation is to split it into a positive case and a negative case.
5.) The negative case of this equation is x – 12 = –0.75.

Alex_Xolod [135]4 years ago

3 0

the real answer is (2) A good first step for solving the equation is to subtract 0.5 from both sides of the equation.

(5) The negative case of this equation is x – 12 = –0.75.

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4 years ago

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snow_tiger [21]

Explanation:

It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.

We can write two equations that make use of the Pythagorean theorem:

PQ² = PR² +RQ²

RS² = QS² +RQ²

Then we can swap sides of the first equation and subtract the second equation. This gives ...

(PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)

Adding RQ², we can write this as ...

PR² -RS² +2RQ² = PQ² -QS²

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Since PQ² - QS² is a positive number, PQ > QS.

6 0

4 years ago

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