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ohaa [14]
4 years ago
13

The graph of the piecewise function f(x) is shown.

Mathematics
1 answer:
ki77a [65]4 years ago
8 0

Answer:

12

Step-by-step explanation:

becauce you have to pretend theres a coordinate plan in front of you then you have to add them together. in this case add all the 4 together.

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The vertex angle of an isosceles triangle measures 64 degrees. What is the measure of its base angles?
Dvinal [7]
So hmmm check the picture below

in an isosceles triangle, two sides are equal, and thus the angles those twin legs make, are also twin angles

let's say the angle made is "a", so all internal angles will be 64 + a + a = 180
or 64 + 2a = 180

thus 2a = 180 - 64 => 2a = 116, thus a = 116/2

7 0
4 years ago
A 2-pack of corn dogs costs $1.96. What is the unit price?
fredd [130]

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8 0
3 years ago
Given a focus of (4, 5) and directrix of y= -3 , find the equation of the parabola.
andrey2020 [161]
Check the picture below.

notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.

keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}})
\\\\
\boxed{(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}\\\\
-------------------------------

\bf \begin{cases}
h=4\\
k=1\\
p=4
\end{cases}\implies (x-4)^2=4(4)(y-1)\implies (x-4)^2=16(y-1)
\\\\\\
\cfrac{1}{16}(x-4)^2=y-1\implies \cfrac{1}{16}(x-4)^2+1=y

8 0
4 years ago
Monu
Marina86 [1]

Answer:

Step-by-step explanation:

700+400+8000

9100

6 0
3 years ago
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Talia needs to paint a 9.5 foot metal rod. She wants to place it on a tarp so the paint does not drip on
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She needs to buy a new one
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3 years ago
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