sal is making bracelets for a fundraiser. He uses 6 inch yarn per bracelet. How many bracelets can sal make with 5 feet of yarn?
2 answers:
You might be interested in
Answer:
see below
Step-by-step explanation:
A graphing calculator shows each of the lines intersect the circle in exactly one place, so is tangent.
__
Each of the given lines is written in point-slope form. Each has a slope of 1/3. We will call the point in its equation the "reference point" of each line. For the first line, it is (6, -15); for the second line it is (-2, 9).
The center of the circle is (2, -3), so the slope from the center to the reference point of each line is ...
line 1: (-15 -(-3))/(6 -2) = -12/4 = -3
line 2: (9 -(-3))/(-2-2) = 12/-4 = -3
These slopes are the negative reciprocal of the slope of each of the lines, so a segment from the circle center to the reference point of each line is perpendicular to the line.
__
The reference point of line 1 (6, -15) is on the circle:
(6 -2)^2 +(-15 +3)^2 = 16 +144 = 160
The reference point of line 2 (-2, 9) is on the circle:
(-2-2)^2 +(9 +3)^2 = 16 +144 = 160
So, the reference point of each line is on the circle and that point is the endpoint of a segment from the circle center that is perpendicular to the line. Hence each of the lines is a tangent at its reference point.
Answer:
Increasing on:
Decreasing on:
Constant at : x=-1
Step-by-step explanation:
The given absolute value function is .
A function is said to be increasing if for all ,
From the graph, we can observe that the graph has a positive slope for all x-values less than -1. This implies that the interval of increase is or
We can also observe that, the slope of this function is negative on the interval: or
.
At x=-1, the function is neither increasing nor decreasing. We say the function is constant at x=-1