Answer:
x = 12
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, then
The square of the tangent is equal to the product of the external part and the entire secant, that is
x² = 6(6 + 18) = 6 × 24 = 144 ( take the square root of both sides )
x = = 12
Answer:
D) 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
The line: has a slope of
as it is in y=mx+b form, where m is the slope, and b is the y-intercept.
Since the slope is , we see that the negative reciprocal slope is
, as
is the reciprocal (flip the numerator and denominator).
From here, we can use point slope form: , where
is the point. In this case, (3, 1) is the point.
Thus, we have: as our final equation.
Simplifying:
And: , which gives us the y-intercept to be 5.
Let me know if this helps!
