Please show step-by-step process.
2007-01-31 06:35:32 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
on a plot this is obvious.
The radius must be perpendicular to the tangent . thus the given center point must be on a line that is perpendicular to the x axis.
or vertical. since the given point (y=4) is 4 units above the axis this distance must be the radius of the circle.
2007-01-31 07:22:44 · answer #1 · answered by bignose68 4 · 0⤊ 0⤋
4
2007-01-31 06:42:00 · answer #2 · answered by Dave 6 · 0⤊ 0⤋
4, the y coordinate.
Prove: The tangent to a circle is always perpendicular to its radius.
From the center point (-3,4) the perpendicular to the x axis is a parallel to the y axis (for in a standard coordinate plane both axis are perpendicular to each one), and the distance is the y coordinate of the center, 4.
2007-01-31 06:42:03 · answer #3 · answered by Jano 5 · 0⤊ 0⤋
If circle TOUCHES the x axis then x axis is a tangent to the CIRCLE. ie centre (-3,4) is at a distance of four contraptions (in a vertical course) from tangent factor. radius = 4
2016-12-13 05:28:29 · answer #4 · answered by ? 4 · 0⤊ 0⤋
4
Tangent means that the line intersects the circle at one point only.
The distance from that one point to the center of the circle is the radius. Further, the radius intersects the tangent at right angles (perpendicular).
The x-axis is all points (x,0).
So, the radius from the tangent will be from (-3,0) to (-3,4), a line segment perpendicular to the x-axis.
The length of that line segment = 4 - 0 = 4
Done.
2007-01-31 06:40:22 · answer #5 · answered by Jerry P 6 · 0⤊ 0⤋