Answer:
x=811/238, y=36/119. (811/238, 36/119).
Step-by-step explanation:
4x+(x-y/8)=17
2y+x-(5y+2/4)=2
-----------------------
4x+x-y/8=17
5x-y/8=17
40x-y=136
y=40x-136
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2y+x-5y-2/4=2
2y-5y+x-1/2=2
-3y+x=2+1/2
-3y+x=4/2+1/2
-3y+x=5/2
-3(40x-136)+x=5/2
-120x+408+x=5/2
-119x=5/2-408
-119x=5/2-816/2
-119x=-811/2
119x=811/2
x=(811/2)/119
x=(811/2)(1/119)=811/238
y=40(811/238)-136
y=16220/119-136
y=36/119
x=811/238, y=36/119.
Answer:
B, C, and E
Step-by-step explanation:
A. 42/6 = 7 Not correct
B. 42/7 = 6 Correct
C. 108/18 = 6 Correct
D. 40/5 = 8 Not correct
E. 96/16 = 6 Correct
Answer:
Pls do find the given attachment
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.")
