Triangle inequality
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side.
Let's analyze each group of side lengths:
• 7,6,10
Note that:
7+6 > 10
7+10 > 6
6+10 > 7
Since all the conditions are met, this group can create a triangle
• Now for 4,2,7
Testing each sum:
4+2 > 7
This inequality is false since 6 is not greater than 7
Thus, this group cannot create a triangle
• Now for 3,4,5
Testing each sum:
3 + 4 > 5
3 + 5 > 4
4 + 5 > 3
Since all the conditions are met, this group can create a triangle
• Finally, for 3,3,3
Testing each sum:
3 + 3 > 3
This happens three times. They form in fact an equilateral triangle
Thus, the only group that cannot create a triangle is 4,2,7
The expression that the question is referring to is not visible. Sorry, I couldn’t give you a more valid answer.
Answer: the correct options are B, D and F
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
m = slope = rate of change
Looking at the equations given, the three that apply are
B) slope = 7
y intercept = 4
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
D) y = 9x + 1
slope = 9
y intercept = 1
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
F) y = 8x + 5
slope = 8
y intercept = 5
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
Answer:
DG is 35.
Step-by-step explanation:
