The answer is -5. -5 times 4 is -20, plus 9 is -11. -5 times 2 is -10, -1 is -11. -5 works.
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:
sin41 = x/1503 multiply both sides by 1503 to cancel it out
1503sin41 = x plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.
Image below, rotation for point (5,-2) gives you (2,5).
The point is on the graph of the equation.
Explanation:
The equation is
We need to determine the point is on the graph.
To determine the point is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.
Thus, substituting the point in the equation , we get,
Multiplying the terms within the bracket, we have,
Adding the LHS, we have,
Thus, both sides of the equation are equal.
Hence, the point is on the graph of the equation