Answer:
The original height of the tree is 18 m.
Step-by-step explanation:
Please see attached photo for explanation.
From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:
x² = 5² + 12²
x² = 25 + 144
x² = 169
Take the square root of both side
x = √169
x = 13 m
Finally, we shall determine the original height of the tree. This can be obtained as follow.
From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.
Thus, the original height of the will be the sum of 5 and x i.e
Height = 5 + x
x = 13 m
Height = 5 + 13
Height = 18 m
Therefore, the original height of the tree is 18 m.
Answer:
b
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← r is the radius
The circle shown is centred at the origin and has a radius of 5, thus
x² + y² = 5² ⇒ x² + y² = 25 → b
Answer:
x=4 and x= - 5
Step-by-step explanation:
In order to solve this we should re-arrange the equation:

This is equal to:

Then we can seperate this into:

So solving for x in both cases we get

The answer is 9(3+x)
My work is in the attached image