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zlopas [31]
3 years ago
6

$23 marked down by 15%.

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Answer:

7

Step-by-step explanation:

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Answer: I thought you already asked this question.

Step-by-step explanation:

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1 year ago
1. from 24 books to 44 books
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I think it’s a 55% increase
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3 years ago
What is the equation of the quadratic graph with a focus of (1 ,3) and a directrix of y=1?
zimovet [89]
Check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=1\\
k=2\\
p=1
\end{cases}\implies 4(1)(y-2)=(x-1)^2\implies 4(y-2)=(x-1)^2
\\\\\\
y-2=\cfrac{1}{4}(x-1)^2\implies y=\cfrac{1}{4}(x-1)^2+2

4 0
3 years ago
If a toy truck is created in a 2:9 scale, and the wheel of the toy is 14cm wide, how wide is the actual wheel?
lesya [120]

Answer:63 cm

Step-by-step explanation:

Given

The scale of creation is 2:9

The width of the toy wheel is 14 cm

Suppose x is the actual width of the truck

\therefore \dfrac{2}{9}=\dfrac{14}{x}\\\\\Rightarrow x=\dfrac{9}{2}\times 14=63\ cm

Thus, the width of actual truck is 63 cm

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3 years ago
What is the square root of 1152?
Alex787 [66]
The square root is <span>33.941125497


</span>
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3 years ago
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