Answer:
Step-by-step explanation:
Since it is tangent to the center, the perpendicular line passes through the center, (2,-3). We find the slope of the perpendicular line to be -1/2 (perpendicular to a slope of 2). We can use point slope form to find the line from the tangent line to the center:
y+3=-1/2(x-2)
We can simplify this to
y= -1/2x-2
We can then check the point of intersection:
-1/2x-2=2x+3
-5=2.5x
x=-2
we can plug this in to the first equation to get y=2(-2)+3=-1
So the point of intersection of the circle and the tangent line is (-2,-1)
Then we find the distance of this point to (2,-3) and we can use pythagorean theorem.
The radius of the circle is
Answer:
See below ~
Step-by-step explanation:
Finding the x-intercept :
- x - 4(0) < -12
- x < -12
- x-intercept = (-12, 0)
Finding the y-intercept :
- 0 - 4y < -12
- y > 3
- y-intercept = (0, 3)
Take the two points and graph the inequality.
5+3x=23 x=6 the answer is 6
Answer:
(1,9)
Step-by-step explanation:
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Answer:
To prove a quadrilateral is a parallelogram, you must use one of these five ways.
Prove that both pairs of opposite sides are parallel.
Prove that both pairs of opposite sides are congruent.
Prove that one pair of opposite sides is both congruent and parallel.
Prove that the diagonals bisect each other.
Step-by-step explanation: