Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.
Answers
Answer:
The standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:
[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]
Step-by-step explanation:
We know that:
[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.
Given the equation
[tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex]
Rewriting the equation in the standard form
[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]
Thus,
The vertex (h, k) = (-5, 12)
Please also check the attached graph.
Therefore, the standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:
[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]
where
vertex (h, k) = (-5, 12)
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400, cus 40*10=400. Brainiest if possible, and tysm!
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
To find the average rate of change, we can use the formula: (y2-y1) / (x2-x1).
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Step-by-step explanation:
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Write an expression equivalent to 12+5t−4+15t+1
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Answer:
20t + 9
Step-by-step explanation:
12+5t−4+15t+1
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(Simplified version)
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
HELP PLEASE. What is true about the domain and range of the function?
O The domain is all real numbers less than or equal to
4, and the range is all real numbers such that -3 sXs
1.
O The domain is all real numbers such that -3 sxs1,
and the range is all real numbers less than or equal to
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O The domain is all real numbers, and the range is all
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O The domain is all real numbers less than or equal to
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Answers
Answer:
Step-by-step explanation:
This equation is y=4-(x+1)^2, there is no restriction upon x and y has a max value of four and approaches negative infinity as x moves away from -1 in either direction. So the domain is all real numbers and the range is all real numbers less than or equal to four.
The domain and range of the quadratic function are:
Domain: Set of all real numbers.Range: y ≤ 4.How to get the domain and range?
For a function y = f(x), we define the domain as the set of the possible inputs x, and the range is the set of the possible values y.
On the graph, we can see a quadratic function.
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For the range, we can see that the function has a maximum at y = 4, and then it goes down, so the range is just:
R: y ≤ 4.
If you want to learn more about quadratic functions, you can read:
https://brainly.com/question/1214333
Pleasee helpp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
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Answer:
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Step-by-step explanation:
the sum of two angles on the same side is 180º so...
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Answer:
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Step-by-step explanation:
1
2
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Answer:
a
Step-by-step explanation:
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Step-by-step explanation:
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Step by step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
8x-12
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Answer:
8x-12
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
g=3
Step-by-step explanation:
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Answer:
$47,682.78
Step-by-step explanation:
future value: F = $64,700
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[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]
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[tex] 64,700 = P(1.0000597260274)^{5110} [/tex]
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[tex] P = 47,682.78 [/tex]
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Answers
Answer:
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Step-by-step explanation:
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