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zavuch27 [327]
2 years ago
8

Identifying a pattern cannot help you make an estimate. True or False

Mathematics
1 answer:
tatiyna2 years ago
6 0

Answer:

false i think

Step-by-step explanation:

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Find the equation of a parabola with a focus at (0,-1) and a directrix at y = 4.
Anastasy [175]

Answer:

  y = -1/10x^2 +2.5

Step-by-step explanation:

The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:

  -1 -4 = -5

So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).

The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...

  y = (1/(4p))(x -h) +k

  y = -1/10x^2 +2.5

_____

You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.

5 0
3 years ago
What is 9/31 simplified?
astra-53 [7]
It cant be simplfied.
4 0
2 years ago
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Help me on this question
tatyana61 [14]

Answer:

The single transformation that maps shape A into shape B is 4 steps right and 3 steps down.

8 0
3 years ago
Irene has 1 gallon of milk. She uses 4 fluid ounces of milk in each bowl of cereal. How many bowls of cereal can she fill before
goldenfox [79]
128 ounces in a gallon

128 divided by 4. Gives you 32 bowls of cereal
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3 years ago
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The below shows the cost of items sold at Luke's electronics. Which two items would represent the ratio 3:1
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The blue ray and the tv combined is 490 so just divide by 2 there’s your answer bud
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2 years ago
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