Answer:
5, 13, 10, 8
Step-by-step explanation:
hello, so for this question keep in mind the triangle inequality theorem which states- a side must be smaller than the sum of the other two sides.
go through each of the choices.
a. 5+7=12 12>9
b.2+7=9 9>9 this cant be the answer since 9 is equal to nine, not greater than,
c. 13+7=20 20>9
d.10+7=17 17>9
e.8+7=15 15>9
f.22+7=29 29>9 although 29 is greater than 9, we also have to keep in mind that the other 2 sides must also be greater than the other side. so try 7+9= 16. 16 isnt greater than 22 so it can’t be one of the answers.
hope this helped :)
Answer:
The system is composed of these two inequalities combined
y <= -x+4
y >= (1/3)x
-----------------------------------------------------------------------
Explanation:
The solid line has the boundary equation y = -x+4
This line goes through (0,4) and (4,0). Using the slope formula, we find that m = -1. Plugging m = -1 and (x,y) = (0,4) into y = mx+b leads to y = -x+4
The shading is below the solid line so we change the equal sign to a "less than or equal to" sign, which leads us to y <= -x+4
That takes care of the first inequality. We must use "or equal to" as part of the inequality to ensure the boundary is solid
------------
The second inequality is y > (1/3)x as the boundary line is y = (1/3)x. This line goes through (0,0) and (3,1). The slope is 1/3 and y intercept is 0
The boundary is a dashed line. This means we don't have "or equal to" as part of the inequality
Answer:
1/3
Step-by-step explanation:
= y2-y1/x2-x1
3-2/1+2
1/3
