In the context of gravitational potential energy, it depends on the object's mass (m), the strength of the gravitational field (g), and the height (h) above a reference point. The formula for gravitational potential energy (U) is given by:
\[ U = m \cdot g \cdot h \]
So, to answer your question directly, the third variable that is essential to determining gravitational potential energy is the height (h).
Regarding the equation \(4x + 10 = __x + __\), to solve for the missing parts, if we want to keep it equivalent, one simple approach is:
Let's set it up as \(4x + 10 = ax + b\). We can make both sides equal by adjusting \(a\) and \(b\):
- For \(4x\) to match, let \(a = 4\).
- For \(10\) to match, let \(b = 10\).
Thus, the equation becomes:
\[ 4x + 10 = 4x + 10 \]
This satisfies the equality for any values of \(x\). If you have any specific numbers to fill in or a different form, please provide those details!