Answer:
(x,y) - (x,-y)
Step-by-step explanation:
It starts in the top right corner which is positive x and y and then it is reflected across the x-axis which has a positive x and negative y
Answer:
1.03
Step-by-step explanation:
The increase is 3% above the original 100%, thus
multiplier = 100 + 3 = 103% =
= 1.03
543,100.....543,200......543,300
Answer:
2/8
Step-by-step explanation:
because there are 2 blue marbles
add those up with the red marbles(6) and you get 8 marbles. But the chance for picking up a blue marble would be 2/8
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.")