For this it would be helpful if you draw a diagram of the situation. You will see that a right triangle can be formed from the problem. We use trigonometric functions to solve. We do as follows:
sin 40 = 50/y
tan 40 = 50/x
Solving we obtain,
x = 60 mi
y = 78 mi
Hope this answers the question. Have a nice day.
<span>Inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.</span>
The first equation is 
(Equation 1)
The second equation is
(Equation 2)
Putting the value of x from equation 1 in equation 2.
we get,


by simplifying the given equation,


Using discriminant formula,


Now the formula for solution 'x' of quadratic equation is given by:


Hence, these are the required solutions.
Answer:
a = - 3
Step-by-step explanation:
The equation has common factors x(x + 3) on both sides
For the 2 sides of the equation to be equal, then the factor
(x + a) = (x - 3) and by comparison
a = - 3
I’m not sure what it is but have a great day:)