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Juliette [100K]
3 years ago
7

Does the Pythagorean theorem work for any unit of measure?

Mathematics
2 answers:
Orlov [11]3 years ago
7 0
Yah units doesn't affect the theorem
Sindrei [870]3 years ago
5 0
Absolutely, providing you use the unit of measure for all sides
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i used polynomial division.. i hope this helps :)

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2 years ago
Complete the square to find the minimum value of the expression 4x2 + 8x + 23.
Tcecarenko [31]
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19

I'm going to assume the given equation equals zero..

So, If we add subtract 19 from both sides of the equation we get the perfect square.

4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0

for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)

Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.


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3 years ago
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Troyanec [42]
What do you need help on ?
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What is the range of 1/2 1/8 1/2 5/8 1/4 1/4 1/2 3/4 1/8 5/8 1/4 1/2
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Would the scale drawing of a rocket be smaller or larger than the original?
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Answer:

In real life, a scale copy is often smaller than the original figure.

Step-by-step explanation:

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