Question
Use the division property of equality to rearrange the equation V=lwh
for the quantity of interest h.(3 points)
Responses
h=lwV
h is equal to l w over cap v
h=Vl−w
h is equal to cap v over l minus w
w= V−lh
w= V−lh
h=Vlw
for the quantity of interest h.(3 points)
Responses
h=lwV
h is equal to l w over cap v
h=Vl−w
h is equal to cap v over l minus w
w= V−lh
w= V−lh
h=Vlw
Answers
GPT-4o mini
To rearrange the equation \( V = lwh \) for the quantity of interest \( h \) using the division property of equality, we need to isolate \( h \).
Starting with the original equation:
\[ V = lwh \]
We want to solve for \( h \). To do this, we can divide both sides of the equation by \( lw \):
\[ h = \frac{V}{lw} \]
So the correct rearrangement for \( h \) is:
**h = \(\frac{V}{lw}\)**
This indicates that \( h \) is equal to \( V \) divided by the product of \( l \) and \( w \).
Starting with the original equation:
\[ V = lwh \]
We want to solve for \( h \). To do this, we can divide both sides of the equation by \( lw \):
\[ h = \frac{V}{lw} \]
So the correct rearrangement for \( h \) is:
**h = \(\frac{V}{lw}\)**
This indicates that \( h \) is equal to \( V \) divided by the product of \( l \) and \( w \).