Answer:
Step-by-step explanation:
You can understand the statement from many perspectives, but in terms of proposition logic it is best to understand it as "negation of a" or " b" in mathematical terms is written like this
You can show that they are logically equivalent because they have the same truth table.
Answer:
see explanation
Step-by-step explanation:
The equation of 2 quantities in direct proportion is
y = kx ← k is the constant of proportionality
1
y = - 4x ← in standard form
with k = - 4
2
= 2 ( multiply both sides by x )
y = 2x ← in standard form
with k = 2
3
= 3 ( multiply both sides by y )
x = 3y ( divide both sides by 3 )
x = y ← in standard form
with k =
Hi student, let me help you out! :)
..............................................................................................................................................
We are asked to find the equation of the line, using the given information:
, which is the slope
which is a point that the line contains
Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:
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Now, we need to find the y intercept, "b", of the line.
Here's how it's done:
Remember the point that the line contains, (1,2)?
Well, its y-coordinate is 2; so what we do is substitute 2 for y:
Also, its x-coordinate is 1, so we substitute 1 for x:
Now, solve for b:
Add 3 to both sides:
Thus, we have
Thus, the equation of the line is:
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
