Answer:
Maybe the figure of this question is a triangle.
If so...the answer comes something like this....
Hope it helps! :)
If the focus is at (6, 2) and the directrix is a horizontal line y = 1, then that tells us that is an x^2 parabola. Since the parabola hugs the focus, it will open upwards since the focus is above the directrix. The rule here is that the vertex is the same distance from the focus as it is from the directrix. If the focus is at a y-value of 2 and the directrix is at y = 1, then the vertex is right in between them as far as the y coordinate goes, which is 1.5. It will have the same x coordinate at the focus. The vertex is in the form (h, k), so our h is 6, and our k is 1.5. The vertex is (6, 1.5). The standard form of a parabola of this type is

, where p is the distance from the vertex to the focus. Our p is 1/2. Using the h and k from the vertex, and the p of 1/2, we now have this as our equation, not yet simplified:

. That will simplify a bit to

. Depending upon how you are to state your answer, how it needs to "look" in the end will vary. I am going to FOIL the left and distribute the right and then put everything on one side and set it equal to y. That would be this:

. And there you go!
If the speed is expressed in (miles per hour),
then it will take the train exactly
<em>(350) divided by (speed) </em> hours
to travel 350 miles at that speed.
Answer:
- ∠AOD ∠BOC = 49°
- ∠AOB = ∠DOC = 131°
Step-by-step explanation:
Pick any pair of angles and write the equation that expresses their relationship. Solve for x, then use that value in any of the angle expressions to find the corresponding angle value.
For example, ...
∠AOD + ∠AOB = 180°
(5x -1) +(9x +41) = 180
14x = 140 . . . . . collect terms, subtract 40
x = 10 . . . . . . . . divide by 14
Now the angles are ...
∠AOD = (5·10 -1)° = 49°
∠AOB = (9·10 +41)° = 131° . . . . . supplementary to 49°
The remaining linear or vertical angles are equal to one or the other of these.