Determine which justification best fits step 3 for the following proof
2 answers:
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9514 1404 393
Answer:
BD = 14
Step-by-step explanation:
The Pythagorean theorem can be used to find the lengths of CD and BC.
CD² +12² = 13²
CD = √(169 -144) = √25 = 5
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BC² +12² = 15²
BC = √(225 -144) = √81 = 9
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The length BD is then ...
BD = BC +CD
BD = 9 + 5 = 14
The length of side BD is 14 units.
The gradient theorem applies here, because we can find a scalar function <em>f</em> for which ∇ <em>f</em> (or the gradient of <em>f</em> ) is equal to the underlying vector field:
We have
where <em>C</em> is an arbitrary constant.
So we found
and by the gradient theorem,