Answer:

Step-by-step explanation:
So we have the expression:

Distribute the negative:

Combine like terms:

And we're done!
B. r = 75m + 1350 I think is the answer. I hope this helped you!
Answer:
The dimensions are 5 and 10 inches
Step-by-step explanation:
The area is 50 square inches and the length is twice the width. 10 is the length, which is two times 5. 10 times 5 is 50.
The length is 10 and the width is 5.
<span>h<span>(t)</span>=<span>t<span>34</span></span>−3<span>t<span>14</span></span></span>
Note that the domain of h is <span>[0,∞]</span>.
By differentiating,
<span>h'<span>(t)</span>=<span>34</span><span>t<span>−<span>14</span></span></span>−<span>34</span><span>t<span>−<span>34</span></span></span></span>
by factoring out <span>34</span>,
<span>=<span>34</span><span>(<span>1<span>t<span>14</span></span></span>−<span>1<span>t<span>34</span></span></span>)</span></span>
by finding the common denominator,
<span>=<span>34</span><span><span><span>t<span>12</span></span>−1</span><span>t<span>34</span></span></span>=0</span>
<span>⇒<span>t<span>12</span></span>=1⇒t=1</span>
Since <span>h'<span>(0)</span></span> is undefined, <span>t=0</span> is also a critical number.
Hence, the critical numbers are <span>t=0,1</span>.
I hope that this was helpful.
Perimeter = 0.75 * 3 = 2.25 <span>inches</span>