3 years ago

How do you solve this?

Mathematics

2 answers:

liraira [26]3 years ago

7 0

Answer: type in ggl search x² - x - 6

Ronch [10]3 years ago

3 0

You would multiply the two sides together so (x+2) and (x-3) and when you multiply you would take x*x, x*-3, 2*x, and 2*-3 which equals x^2-3x+2x-6 and that simplifies to the answer of x^2-x-6

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Find the constant of proportionality k. Then write an equation for the relationship between x and y.

egoroff_w [7]

Answer:

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3 years ago

A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.

Alexeev081 [22]

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

$\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3$