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elena-14-01-66 [18.8K]
3 years ago
8

Carla uses a compass and straightedge to construct perpendicular lines. Daryl uses technology to construct perpendicular lines.

In your own words, describe how Carlas construction steps will be different from Daryls construction steps?
Mathematics
1 answer:
pogonyaev3 years ago
4 0

Answer:

Carla used human accuracy to create perpendicular lines.

-She will grab a pencil and a bond paper

-She will grab the straighthead and the compass.

-She will test with the compass if the straighthead is orientated correctly.

-She will now make a line with the correctly orientated straighthead and pencil.

-She has finished

Daryl, used technological ease to create perpendicular lines.

-He opens his PC

-He opens Microsoft Word™

-He will insert two lines, one orientated 0° ↑, and one orientated 90° →

-He now connects the two lines.

-He will print the file

-He has finished.

Step-by-step explanation:

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D:x\in\left< -\dfrac{5}{4};\ 6\right>

\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs
9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D
Answer: t = -1.


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