Answer:
-1/4
Step-by-step explanation:
First we already know it's a negative because it is declining
fall/run
-1/4 is your answer
Enjoy vro!
6 - p....p = 1.5
6 - 1.5 = 4.5
TRUE...because when u sub in 1.5 for p, the difference is 4.5, which is less then 5.
(30)(420) = 12000 - 600
12600 = 11400...incorrect
FALSE...because the product of 30 and 420 does not equal 600 less then 12000
16.3 + 11.9 < 27
28.2 < 27..incorrect
FALSE...because the sum of 16.3 and 11.9 is greater then 27
In this problem, you are looking at a pair of similar trapezoids. So we must be looking for a ratio between a side in the smaller trapezoid and the corresponding side in the bigger trapezoid. We are given the lengths of AB and EF, which we can use to find this ratio.
But before we do anything we must convert units so that all units are the same. Let's convert the 60 feet into inches. 60 feet is 720 inches.
Next, set up the ratio I mentioned earlier. If we set up the ratio so that it is smaller:larger, we would get 4:720, which simplifies to 1:180. Basically what this ratio says is that every 1 inch in the smaller trapezoid corresponds to 180 inches in the bigger trapezoid. Now we can use this ratio to find the lengths of the sides in the bigger trapezoid. Just multiply all the lengths of the smaller trapezoid by 180 to get the lengths for the bigger trapezoid. Finally, when we have all our side lengths, divide them all by 12 (because 12 inches in 1 foot) to get the measurements in feet.
From here, I'll let you find the total length yourself.
Answer:
The math notation to the given sequence is 
for n=1,2,3,... is verified and it is true
Step-by-step explanation:
Given sequence is 1,-1,1,-1,...
Let 
To find the math notation for the given sequence :
for n=1,2,3,... verify that it is true or not
Put n=1 in the above equation we get
Therefore 
Put n=2 in the equation we get
Therefore 
Put n=3 in the equation we get
Therefore 
and so on
Therefore the math notation to the given sequence is for n=1,2,3,... is verified and it is true
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!
