a 6ft tall man casts a shadow that is 9ft long. at the same time, a tree nearby casts a 48 ft shadow. how tall is the tree
2 answers:
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Answer:
The x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5
Hence, option A) i.e. -0.5 is correct.
Step-by-step explanation:
Given the system of equations
2.4x - 1.5y = 0.3
1.6x + 0.5y = -1.3
solving the system of equations
Multiply 2.4x - 1.5y = 0.3 by 2
Multiply 1.6x + 0.5y = -1.3 by 3
so the system of equations becomes
so
so the system of equations becomes
solve 4.5y = -4.5 for y
Multiply both sides by 10
Refine
Divide both sides by 45
Simplify
For 4.8x - 3y = 0.6, plug in y = -1
Multiply both sides by 10
Refine
Subtract 30 from both sides
Simplify
Divide both sides by 48
simplify
or
Thus,
(x, y) = (-0.5, -1)
Therefore, the x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5
Hence, option A) i.e. -0.5 is correct.