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Answer:
5x -y = -37
Step-by-step explanation:
One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:
A = Δy = y2 -y1 = 2 -(-3) = 5
B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1
Then the constant C can be found using either point.
5x -y = 5(-7) -2 = -37
The equation of the line is ...
5x -y = -37
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<em>Additional comment</em>
This approach comes from the fact that the slope of a line is the same everywhere.
The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.
Answer:
-3 = ln(0.05)
Step-by-step explanation:
Taking the natural log of both sides of the equation gives ...
-3·ln(e) = ln(0.05)
The natural log of e is 1, so the equation becomes ...
-3 = ln(0.05)
<span>I believe you MEANT 8/(x^2-25)+9/(x-5) Parentheses in this format are important...the way you typed it means (8/x^2)-25+(9/x)-5 which I doubt you mean. Anyway.
If you factor the first denominator you will see that it is equal to (x+5)(x-5). Division by zero has no meaning so x cannot equal -5 or 5.
If we multiply the second fraction by (x+5) we will have a common denominator of (x^2-25) for the entire equation leaving us with:
(8+9x+45)/(x^2-25)
(9x+53)/(x^2-25)
The second problem is worked in exactly the same way, notice that there is no "solution" as there is no equal sign. This is an "expression" not an "equation".</span>
