Answer
<em>length = width + 15</em>
<em>Area = length * width; area is 54 square feet.</em>
<em>Two equations are:</em>
<em>L = W + 15</em>
<em>L * W = 54</em>
<em>To solve, we substitute first equation into second equation:</em>
<em>(W + 15) * W = 54</em>
<em>w^2 + 15w = 54</em>
<em>w^2 + 15w - 54 = 0</em>
<em>(w+18)(w-3) = 0</em>
<em>w = -18 or 3</em>
<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>
<em />
<em>Length = 18 feet</em>
<em>Width = 3 feet</em>
<em />
<em />
Answer:
or approximately (0.544, 4.179)
Step-by-step explanation:
A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

Set
equal to 8/7 and solve for x:

Therefore,
will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into
to get the y-coordinate:

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)
Answer:
Step-by-step explanation:
If BD is altitude then AC is the base.
<u>The length of AC is:</u>
- AC =

<u>The length of BD is:</u>
- BD =

<u>The area is:</u>
- A = 1/2bh
- A = 1/2 *
= 18 unit²