3 years ago

Create a recursive formula for this sequence (linear)

Mathematics

1 answer:

svetoff [14.1K]3 years ago

4 0

the answer is 3n-2 please do you get it

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The lines shown below are parallel?

konstantin123 [22]

The answer is D.) -1/2
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3 years ago

A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

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3 years ago

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Apply distributive property to produce an equivalent expression for 6(7 e + 3)

Orlov [11]

Answer:

42e+18

Step-by-step explanation:

6×7=42

6×3=18

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4 years ago

An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.

liq [111]

$\bf \textit{height of an equilateral triangle}\\\\
h=\cfrac{s\sqrt{3}}{2}\quad 
\begin{cases}
s=\textit{length of a side}\\
---------\\
h=36
\end{cases}\implies 36=\cfrac{s\sqrt{3}}{2}
\\\\\\
72=s\sqrt{3}\implies \cfrac{72}{\sqrt{3}}=s~~\stackrel{rationalizing~it}{\implies }~~\cfrac{72}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{7\sqrt{3}}{3}$

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3 years ago

Find the zeros of the quadratic function

pashok25 [27]

Answer: A and B I think

Step-by-step explanation:

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