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Answer:
Choice D is correct
Step-by-step explanation:
The sequence representing the number of raccoons;
8, 24, 72
is simply but a geometric sequence with first term 8 and common ratio 3.
The formula for the n-th term of a geometric sequence with first term x and common ration r is;
In the given case, x = 8 and r = 3
We substitute these values in the above formula;
Answer:
The equation in point-slope is
Step-by-step explanation:
We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line
The general form of point-slope is;
where m is slope and is the point
We need to calculate slope.
We are given equation of line that is perpendicular to the required line.
The equation is given in slope-intercept form where m is slope.
Comparing both equations we get m= -1/3
But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e
<em>So, </em><em>slope of required line is m = 3 </em><em>(opposite reciprocal of -1/3)</em>
Now, the equation in point-slope form having slope m=3 and point (6,-5) is
So, The equation in point-slope is