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ivann1987 [24]
3 years ago
9

Points A, B, and C are collinear and A is between B and C.

Mathematics
1 answer:
olganol [36]3 years ago
6 0
The answer is AB (45)
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Solve the equation
Vera_Pavlovna [14]

Answer:

All real numbers; the simplification is described below.

Step-by-step explanation:

5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Let's keep in mind PEMDAS (the order of operations) to simplify and solve this. First, we'll distribute inside each set of parenthesis!

5(-3x) + 5(-2) -1(x) -1(-3) = -4(4x) -4(5) + 13

See how we've taken the outer term on the outside of the parenthesis and multiplied it to each term inside the parenthesis. Simplify further.

-15x - 10 - x + 3 = -16x - 20 + 13

Now we can combine like terms! I will bold the terms I am combining.

-15x - 10 - x + 3 = -16x - 20 + 13 (combining the x terms on the left)

-16x - 10 + 3 = -16x - 20 + 13 (combining the constants on both sides)

-16x - 7 = -16x - 7

Aha! It looks like we have an equation that's literally equal to itself. If we were to simplify this, or put in any number, we'd get that number equals itself. For example:

-16(1) - 7 = -16(1) - 7

-16 - 7 = -16 - 7

-21 = -21

Any number you put in here will make the equation true, so these lines must be the same line. That means the solution is all real numbers.

5 0
3 years ago
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