Determine which set of numbers can be the measures of the sides of a triangle.
2 answers:
Answer:
Option A) 13, 10, 16
Step-by-step explanation:
We are given the following information in the question:
The triangular Inequality:
- The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
a) 13, 10, 16
Thus, they can be the measures of the sides of a triangle.
b) 1, 2, 3
Thus, they cannot be the measures of the sides of a triangle as they do not satisfy the triangular inequality.
c) 5.2, 11, 4.9
Thus, they cannot be the measures of the sides of a triangle as they do not satisfy the triangular inequality.
d) 208, 9, 219
Thus, they cannot be the measures of the sides of a triangle as they do not satisfy the triangular inequality.
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(change in y)/(change in x) = (-18 -(-20))/(1 - 0) = 2
so can be written in slope-intercept form as
g(x) = 2x -20
The x-intercept of this line is at x=10.
0 = 2x -20 . . . . the x-intercept is where g(x) = 0
20 = 2x
10 = x
The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).
Yes, the linear function g(x) will intersect the circle at 2 points with positive x-coordinates.