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Black_prince [1.1K]
3 years ago
5

Put 2 (n^2 + 8n + 16) in standard form

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer: 2n^2 + 16n + 32

Step-by-step explanation:

Distribute 2 to all the terms inside parentheses.

2 (n^2 + 8n + 16)

2n^2 + 16n + 32

Hope this helped!

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A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store the shopper looks up and sees a
Aleks04 [339]

Answer:

The elevation to the top of the building from the point on the ground where the shopper is standing is = 17.35°

Step-by-step explanation:

From the ΔABC

AB = height of the building = 250 feet

BC = 800 ft

Angle of elevation = \theta

\tan \theta = \frac{AB}{BC}

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\theta = 17.35°

Therefore the elevation to the top of the building from the point on the ground where the shopper is standing is = 17.35°

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3 years ago
Explain how you can tell when a formula represents a length an area or a volume
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Do you mean how you can tell between an area formula and a volume formula? Well usually like on a reference sheet it says the shape and the letter a or v, a representing area and v representing volume. I hope this helps, if it doesn't please tell me in the comment section
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3 years ago
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The vertex of this parabola is at (2,-1) when the y value is 0 and then x value is 5 what is the coefficient of the squared term
Darina [25.2K]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-1}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=2\\ k=-1 \end{cases}\implies y=a(x-2)^2-1 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=5 \end{cases}\implies 0=a(5-2)^2-1\implies 1=9a \\\\\\ \cfrac{1}{9}=a\qquad therefore\qquad \boxed{y=\cfrac{1}{9}(x-2)^2-1}


now, let's expand the squared term to get the standard form of the quadratic.


\bf y=\cfrac{1}{9}(x-2)^2-1\implies y=\cfrac{1}{9}(x^2-4x+4)-1 \\\\\\ y=\cfrac{1}{9}x^2-\cfrac{4}{9}x+\cfrac{4}{9}-1\implies \stackrel{its~coefficient}{y=\stackrel{\downarrow }{\cfrac{1}{9}}x^2-\cfrac{4}{9}x-\cfrac{5}{9}}

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Help me plzzzzzzzzz<br> solve for x
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Answer:

7) \frac{x+20}{x}=\frac{46}{30}

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---------------------

8) \frac{10}{3x+1} =\frac{22}{7x-1}

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x=\frac{32}{4}

x=8

<u>---------------------</u>

hope it helps...

have a great day!!

4 0
3 years ago
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