Answer:
By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.
a
+
b
≥
c
, where a and b are the shorter sides and c the longest.
11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.
Justification:
The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.
Practice exercises:
Which of the following triangles is possible?
a) 4,6 and 14
b) 5,11 and 16
c) 1,3,6
D). 12,19 and 26
Find the smallest possible value of a to make the following an actual triangle :
a
,
14
,
25
Hopefully this helps:
Step-by-step explanation:
The equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:

We have two points shown in the table:
(-1, -10), and (3, 14)

y - 14 = 6(x - 3)
y = 6x - 4
Thus, the equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.
Learn more about the slope of the straight line here:
brainly.com/question/3493733
#SPJ1
Answer:
0.942
Step-by-step explanation:
Multiply the normal way as if there were no decimals, then move the decimal 3 times to the left.
Answer:
449pounds
Step-by-step explanation:
29x15months=435
435+15=449 pounds
P.S. That was one BIG dog.
All work is show in the picture below.