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{:[h(t)=-10 t+6],[h(◻)=-44]:}

h(t)=10t+6h()=44 \begin{array}{l}h(t)=-10 t+6 \\ h(\square)=-44\end{array}

Full solution

Q. h(t)=10t+6h()=44 \begin{array}{l}h(t)=-10 t+6 \\ h(\square)=-44\end{array}
  1. Identify function and value: Identify the given function and the value we need to find.\newlineWe are given the function h(t)=10t+6h(t) = -10t + 6 and we need to find the value of t't' when h(t)=44h(t) = -44.
  2. Set up equation with given value: Set up the equation with the given h(t) h(t) value.\newlineWe need to solve the equation 10t+6=44 -10t + 6 = -44 .
  3. Isolate term with 't': Subtract 66 from both sides of the equation to isolate the term with 't'.\newline10t+66=446-10t + 6 - 6 = -44 - 6\newlineThis simplifies to 10t=50-10t = -50.
  4. Solve for 't': Divide both sides of the equation by 10-10 to solve for 't'.\newline10t/10=50/10-10t / -10 = -50 / -10\newlineThis simplifies to t=5t = 5.

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