Answer:
3rd triangle can be constructed with dimensions 2,6,7.
Step-by-step explanation:
sum of any two sides > third side.
difference of any two sides < third side
1.
8+5=13 not >14 (no triangle.)
2.
7+8=15 not >15 (no triangle)
3.
2+6=8>7
2+7=9>6
7+6=13>2
7-2=5<6
7-6=1<2
6-2=4<7
so it is a triangle.
4.
6+3=9 not >10 (not a triangle)
Answer:
C
Step-by-step explanation:
C is the solution
Answer:
4x - 5y + 30 = 0
Step-by-step explanation:
When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.
It is given by:
where is the slope of the line and
is the point passing through it.
Here and .
Substituting in the equation we get
The "midpoint formula" is the same as the "average formula:"
x-coordinate of the midpoint = average of -2 and 10:
= (-2 + 10) / 2 = 4
y-coordinate of the midpoint = average of 3 and 3:
= (3+3) / 2 = 3
Thus, the midpoint of the given line segment is (4,3).