MN goes through
Slope:-
Slope of perpendicular line:-
Passes through k(3,-3)
Equation in point slope form
- y-y1=m(x-x1)
- y+3=-5(x-3)
- y+3=-5x+15
- y=-5x+12
Check one by one
- 0=-5(-12)+12=60+12=72
- 2=-5(2)+12=-10+12=2
Yes option B is correct
Answer:
There would be 45 stars in a stage 15 patteren
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
Answer:
1. 5.45
2. 0.94
Step-by-step explanation:
