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Andrew [12]
1 year ago
5

Select all of the expressions that have a value between 0 and 1

Mathematics
1 answer:
MrRissso [65]1 year ago
8 0
Cuff ffff ffffd ffff
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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
Find the slope (or grade) of the treadmill shown. <br><br> The grade of the treadmill is___%
prisoha [69]

Answer:

grade=15%

Step-by-step explanation:

For 2 ft on x-axis it has elevated 0.3 ft on y-axis

m=0.3/2=0.15 ft

grade=m x 100

grade=15%

6 0
3 years ago
Which one is the right one? Help me please.
frez [133]

Answer:

90 km/h

Step-by-step explanation:

To solve this problem you first need to convert minutes to hours since the unit is km/h. Doing this we get half an hour (1 hour=60 mins so you divide 30 by 60) after converting you simply divide 45 by 1/2 or .5 to get the answer.

4 0
3 years ago
Marek thinks of 2 prime numbers that are larger than 3. He multiplies the 2 numbers together.is his answer odd or even.
Stolb23 [73]
Im thinking it would be odd because when you multiply 2 odd numbers youre result is usually odd 
5 0
3 years ago
Read 2 more answers
Please answer for branliest
Lostsunrise [7]

Answer:

50%

Step-by-step explanation:

There are 2 cards greater than 5 , that is 6 and 7 , then

P( greater than 5 ) = \frac{2}{4} = \frac{1}{2} = 50%

4 0
2 years ago
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