We will use the Pythagorean theorem:
8² + 12² = c²
64 + 144 = c²
c = √208 ≈ 14.42
14.42 - 12 = 2.42 in
The direct distance between the lizard and the cactus is 2.42 inches.
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We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:
.
.
does not exist as
.
<h3>How to determinate the limit in a piecewise function</h3>
In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.
According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:
.
.
does not exist as
.
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Answer:

Step-by-step explanation:
We have been given an equivalence equation
. We are asked to find all the square root of the given equivalence equation.
Upon converting our given equivalence equation into an equation, we will get:
Add 53 on both sides:


Take square root of both sides:

Therefore, the square root for our given equation would be
.