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Helga [31]
3 years ago
7

The square of a number x is 115. The number x is between what two consecutive whole numbers?

Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer:

10 and 11

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 a equation that goes through (-4,7) and (-2,1) points
s2008m [1.1K]

Answer:

wdym

Step-by-step explanation:

6 0
3 years ago
Solve for the exact value of x.
forsale [732]
A² + b² = c²
5² + 8² = x²
x² = 25 + 64
x² = 89
x = √89
x = 9.43
3 0
2 years ago
Read 2 more answers
What is 122/11 equivalent to as a decimal??
kipiarov [429]

divide it two numbers to get 11.090909 which would most likely to be 11.10

3 0
3 years ago
Jeremiah made .25 per ounce of lemonade sold.If he sold all of his lemonade, how much money did he make?
yawa3891 [41]
How many ounces of lemonade was there in total? Once you get that divde by .25
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3 years ago
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