Answer:
Step-by-step explanation:
5x + 13y = 232
12x + 7y = 218
For each choice:
a) The first equation can be multiplied by –13 and the second equation by 7 to eliminate y. So we have
- 65x - 169y = - 3016
84x + 49y = 1526
Can not eliminate x and y.
b) The first equation can be multiplied by 7 and the second equation by 13 to eliminate y. So we have
35x + 91 y = 1624
156x + 91y = 2834
Can not eliminate x and y if we ADD.
<em>(If we subtract, this is Yes)</em>
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c) The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
-60x - 156y = - 2784
60x + 35y = 1090
The answer is YES
d) The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
25x + 65y = 1160
144x + 84y = 2616
Can not eliminate x and y
The final answer is C
Since 5 out of 43 people take chinese, it's 5/43 which is the same as 0.116 which means 11,6%
I hope this was helpful! Tell me if it's unclear!
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.")
