Answer:
-10x + 35 + 5x simplifies to -5x + 35.
Step-by-step explanation:
Combine Like Terms:
= −10x + 35 + 5x
= (−10x + 5x) + (35)
= −5x + 35
Hope this helps!
The distance between the bottom of the lighthouse and the boat is 77.6m.
<h3>What is the
distance between the
bottom of the lighthouse and the
boat?</h3>
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
- where:
a = length - b = base
- c = hypotenuse
125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
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Once the rock hits the ground, we know that its height will be equal to 0m
because of this, we can replace H(x) with 0

now all we have to do is get x by itself
so..

then


now take the square root of each side

2.857 seconds (rounded to the third decimal)