Assuming the circle is centered at the origin, then its equation above the x-axis is
We can use this and its derivative to find the slope at (-5,12) to find the equation.
Using y=mx+b, we have
is the line equation.
Intro to Calc HELP!?????? Finding integrs?
1)Find an integer, x, greater than 4 where the sum of x consecutive integers is divisible by x
2) Show that the equation above gives the correct slope for the line tangent to a circle with a radius of 13 at the point (-5,12)
So I'm thinking, the circle's center is at (0,0) because then the point of tangency will be (-5,12) exactly...But I don't know what to do
For #1, I got 5n+10....is that right or wrong?
Hello, realintegerz!
Could you state the original problem?
I'm sure that this isn't what "they" said.
Let be the first (smallest) integer.1) Find an integer where the sum of consecutive integers
is divisible by .
. . . .
. . . .
is divisible by if is an integer.
. . This happens when is odd.
Therefore, is any odd integer greater than 4.
I don't see what this question has to do with #1.2) Show that the equation above gives the correct slope for the line tangent
to a circle with a radius of 13 at the point (-5,12)
. . There is no "equation above."
I will assume that the circle is centered at the origin.
The slope of the radius from (0, 0) to (-5, 12) is: .
The tangent at the point is perpendicular to that radius.
Therefore, the slope of the tangent is: .
Well actually it's a series of 4 problems
1) Write an expression in terms of an integer, a, for the sum of any 3 consecutive integers and show that this sum is divisible by 3
a+(a+1)+(a+2)
=3a+3
3(a+1)
3(a+1)/3= (a+1) x 3/3 = (a+1) x 1 = a+1
2) Wrote an expression in terms of an integer, a, for the sum of any 4 consecutive integers and show that this sum isn't divisible by 4
a+(a+1)+(a+2)+(a+3)
=4a+6
2(2a+3)
2(2a+3)/4 = (2a+3) x 2/4 = (2a+3) x 1/2 = (2a+3)/2
3) Find an integer, n, greater than 4 where the sum of n consecutive integers is divisible by n
4) Show that the equation above gives the correct slope for the line tangent to a circle with radius of 13 at the point (-5,12)
Yeah im lost on how 4 relates to 3....should i just ignore it?