Consider the equation r = 5 sin(theta). Use the drop-down boxes to complete the sentences.
1 answer:
9514 1404 393
Answer:
- circle
- y-axis
- 5 units
Step-by-step explanation:
It can be helpful to actually see the graph. For 0 ≤ θ ≤ π, a circle is developed above the x-axis, symmetrical about the y-axis (θ=π/2). For π ≤ θ ≤ 2π, the same circle is traced again in the same direction (CCW), as values of r are negative for those angles.
The circle has a radius of 2.5, centered at (0, 2.5), so the diameter is 5 units. The length of the diameter is the farthest distance between any two points on a circle.
You might be interested in
Answer:
The Slope of Line 1 is ->
The Slope of Line 2 is ->
These two lines are - > Perpendicular
Step-by-step explanation:
To find the slope of line one, you follow these steps:
First Coordinate 10 -> x1, 5 -> y1
Second Coordinate -8 -> x2, 9 -> y2
Then insert the assigned values into this equation: ->
which equals
which simplifies to
Then do the same process to find the slop of line 2:
First Coord: 2 -> x1, -4 -> y1
Second Coord: 11 -> x2, -6 -> y2
Then insert the values into this equation: ->
which equals
.
We know the lines are perpendicular by:
a. Typing the equations of the lines into a graphing calculator and observing the graph
b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.
Hope this helps!