The solution to 5−3x > 35 is either x > -10 or -10 > x. Which solution is correct? Explain how you know.
2 answers:
You might be interested in
Answer:
x =8 is the equation of the tangent.
Step-by-step explanation:
Here the equation of the given circle is:
Now, comparing it with the general equation of circle:
we get the central coordinates (h,k) = (3,-2)
So, the slope of the line joining center and (8, -2) =
Since the slope of line = 0, line is parallel to x axis.
Now, as tangent and the line is perpendicular to each other
⇒Slope of the tangent = -1/ slope of the line =
Now, by point slope formula: the equation of the tangent is
(y-y0) = m (x-x0)
or,
or x =8 is the equation of the tangent.
Solve each equation for y and then the slope is m and y-intercept is b as in:
So, if you do that, you'll get (remember, this is <em>after</em> solving for y):
1. m = -6, b = -2
2. m = 5, b = -1
3. m = -5/3, b = 5
4. m = 0, b = -1/4
5. m = -1, b = -3
6. m = 3, b = -4
7. m = 1/2, b = -5/2
8. m = 7/2, b = 1
Hope this helps.
So, if you do that, you'll get (remember, this is <em>after</em> solving for y):
1. m = -6, b = -2
2. m = 5, b = -1
3. m = -5/3, b = 5
4. m = 0, b = -1/4
5. m = -1, b = -3
6. m = 3, b = -4
7. m = 1/2, b = -5/2
8. m = 7/2, b = 1
Hope this helps.