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dezoksy [38]
3 years ago
15

The A-frame cabin shown below is 35 feet wide. The roof of

Mathematics
1 answer:
Roman55 [17]3 years ago
6 0

Answer:

25

Step-by-step explanation:

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3 years ago
Derive the equation of the parabola with a focus at (3,1) and a directrix of y = 5
serg [7]
So hmmm  check the picture below

so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both

in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3

now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"

because the parabola opens downwards, "p" is negative, and thus, -2

now, let's plug all those fellows in then

\bf \begin{array}{llll}
(x-{{ h}})^2=4{{ p}}(y-{{ k}})\\
\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=3\\
k=3\\
p=-2
\end{cases}\implies (x-3)^2=4(-2)(y-3)\implies (x-3)^2=-8(y-3)
\\\\\\
-\cfrac{(x-3)^2}{8}=y-3\implies \boxed{-\cfrac{1}{8}(x-3)^2+3=y}

5 0
3 years ago
Which measurement is a perfect square? the area of a rectangle with a length of 5 and a width of 10 the area of a rectangle with
Assoli18 [71]

Answer:

  the area of a rectangle with a length of 5 and a width of 5

Step-by-step explanation:

Area of a rectangle is found by multiplying length and width. When those values are the same, the result is a perfect square.

The area of a rectangle with a length of 5 and a width of 5 is a perfect square.

6 0
3 years ago
Read 2 more answers
For every 15 situps Ryan does, he does 10 push-ups. Create a table of equivalent ratios that show the relationship between the n
goblinko [34]

Answer:

15/10, 30/20, 60/40, 120/80, 240/160, 480/320

Step-by-step explanation:

The number of push-ups is 2/3 the amount of sit-ups, so the ratio of sit-ups to push-ups is 3:2.

The easy way to do this is to double both 15 and 10 so your answer will stay an equivalent ratio. You will always have a 3:2 ratio this way.

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3 years ago
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Ray Of Light [21]

Answer:

I am gonna have to say answer choice A

Step-by-step explanation:

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