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Trava [24]
3 years ago
9

Срочно! даю 25 баллов

Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer:

4+ 4w

Step-by-step explanation:

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Gary car will use 18 miles/gallons
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What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6​
Pachacha [2.7K]

Answer:

y=\dfrac{1}{8}(x-2)^2-4

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

(x-x_0)^2=2px(y-y_0),

where (x_0,y_0) is the vertex of parabola and p is parabola's parameter.

By the definition, \frac{p}{2} is the distance from the vertex to the directrix, so

\dfrac{p}{2}=2\Rightarrow p=4

Hence, the equation of parabola is

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See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

y=\dfrac{1}{8}(x-2)^2-4

8 0
3 years ago
(x - 3) (3x + 7) = 0 Find the values of x.
expeople1 [14]
(x-3)(3x+7)=0
x-3=0 or 3x+7=0

1. x-3=0
x₁=3

2. 3x+7=0
3x=-7
x₂=-7/3 = -2(1/3)
8 0
3 years ago
Read 2 more answers
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