Solve the system of equations. x + 3y = −12x + 2y = 6
1 answer:
Answer:
x=-3/19
y=39/19
Step-by-step explanation:
the equations can be written as the following system
If the second equation is multiplied by 3/2 it will become -18x+3y=9
If that equation is then subtracted with the first you will obtain the following
-19x=3, it means x=-3/19
The other variable is obtained by substituting the new value for x in the first equationx+3y=6, thus we obtain that y=39/19
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Answer:
C) 405.3 ft
Step-by-step explanation:
A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.
Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:
In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
82 + 78 + ∠C = 180
∠C + 160 = 180
∠C = 20°
Using sine rule:
a = distance from Ship B to the signal fire at point C
