What is the solution to this system of equations?
2 answers:
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The horizontal distance between the two balloons is 54.1478... meters.
<u><em>Explanation</em></u>
According to the below diagram, A and B are the positions of two balloons which are 48.2 meter and 61.0 meter above the ground respectively.
Horizontal distance between two balloons is AC, which is meter.
A person in the left balloon observes that the right balloon is 13.3° above the horizontal. That means, ∠BAC = 13.3°
According to the diagram,
Now in right angle triangle ABC.....
So, the horizontal distance between the two balloons is 54.1478... meters.
The equation of the line is y = 0.8x - 1.4 if the slope of the line is 0.8 and line passes through coordinates (-2,-3)
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The slope m = 0.8
The line passing through coordinates (-2,-3)
y = mx + c
y = 0.8x + c
Plug the point in the equation.
-3 = 0.8(-2) + c
c = -1.4
y = 0.8x - 1.4
Thus, the equation of the line is y = 0.8x - 1.4 if the slope of the line is 0.8 and line passes through coordinates (-2,-3)
Learn more about the straight line here:
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