4. The temperature at 6:00 a.m. was 45°F and the temperature at 10:30 a.m. was 12.8°C. What was the change in temperature betwee
1 answer:
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Answer:
- p = -3
- v: (4, -1)
- f: (4, -4)
- d: y = 2
Step-by-step explanation:
The equation ...
(x -h)² = 4p(y -k)
is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.
The vertex for equation ...
(x -4)² = -12(y +1)
is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.
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<em>Additional comment</em>
As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.
You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.
Answer:
base =
Step-by-step explanation:
An isosceles triangle has 2 sides of equal length (a) and base (b)
⇒ perimeter of an isosceles = 2a + b
Given:
Therefore, base =
Answer:
Step-by-step explanation:
I have a 60-minute free trial of the game. It takes i.e.
minutes to set up the game and
i.e.
minutes to play each level.
If I am able to play up to I number of levels within this 60 minutes, then we can write the inequality that gives the maximum number of level that I can play will be given by . (Answer)