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Bond [772]
3 years ago
5

Can a triangle be made with sides of length 7, 10 and 20?

Mathematics
1 answer:
salantis [7]3 years ago
3 0
Yes it can its called a scalene triangle

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The answer is a that should be it !
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How does the graph of f(x) =-3^2x-4 differ from the graph of g(x)=-3^2x
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\bf ~~~~~~~~~~~~\textit{function transformations}&#10;\\\\\\&#10;% templates&#10;f(x)={{  A}}({{  B}}x+{{  C}})+{{  D}}&#10;\\\\&#10;~~~~y={{  A}}({{  B}}x+{{  C}})+{{  D}}&#10;\\\\&#10;f(x)={{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}&#10;\\\\&#10;f(x)={{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}&#10;\\\\&#10;f(x)={{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}&#10;\\\\&#10;--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\&#10;\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\&#10;~~~~~~\textit{reflection over the x-axis}&#10;\\\\&#10;\bullet \textit{ flips it sideways if }{{  B}}\textit{ is negative}\\&#10;~~~~~~\textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\&#10;~~~~~~if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\&#10;\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\&#10;\bullet \textit{ vertical shift by }{{  D}}\\&#10;~~~~~~if\ {{  D}}\textit{ is negative, downwards}\\\\&#10;~~~~~~if\ {{  D}}\textit{ is positive, upwards}\\\\&#10;\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

with that template in mind, let's check,

\bf f(x)=-3^{\stackrel{B}{2}x\stackrel{C}{-4}}\qquad \qquad g(x)=-3^{2x}\implies  g(x)=-3^{\stackrel{B}{2}x\stackrel{C}{+0}}

notice, g(x) has a horizontal shift of C/B or +0/2, or just 0, none.

while f(x) has a horizontal shift of C/B or -4/2, or -2, to the right.

so f(x) is really just g(x), but shifted horizontally over 2 units to the right.
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3 years ago
Find the area of a circle with a diameter of 4.
spin [16.1K]
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Answer:

A construction worker may use trigonometry when building the roof of a house. They may have to calculate the right angle that hypotenuse must sit at so water doesn't build up on the roof and cause leaks.

(this may be more of an architect's job, as they are the ones that design the houses)

or

An air traffic controller may use trigonometry to find how long it will take an airplane to land/how far the airplane is from the ground while it is in the sky (hypotenuse), based on its height from the ground (opposite) and the distance away from the runway it is (adjacent). They can also calculate the angle of elevation of the airplane from the tower they work in.

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3 years ago
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