Answer:
Two statement forms are called logically equivalent if they have identical truth values for each possible substitution for their statement variables.
Step-by-step explanation:
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Answer: 7/3
Step-by-step explanation: let the original real number be x. After moving the decimal point of this real number two digits to the right, the number becomes 100x. The positive difference between the two numbers is 100x - x = 99x. Dividing the difference by 11, we have 99x/11 = 9x, which we are told is 21, so we have the equation 9x = 21/9, which equals 7/3. Thus, the original real number is 7/3.
The four answer choices are equal and pass through the point (-3,1), which you verify replacing the variables:
y - 1 = (x + 3)
1 - 1 = -3 + 3
0 = 0.
The other factor that you have to considerate is the slope.
The slope of the equation y - 1 = x + 3 is 1 (the coefficient of the x).
Given that the slopes of two parallel line are the same (equal), you need to determine the slope of the parallel line.
Once you know the slope of the parallel line, you can choose the right option.
The equation shown, y - 1 = x + 3 is the right fit if and only if the parallel line has slope 1.
6y + x = y --> Subtract y from both sides
5y + x = 0 --> Subtract x from both sides
5y = - x --> Divide both sides by 5
y = - x/5 (Notice that it's negative.)
