Answer:
Step-by-step explanation:
If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex. Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards). The formula for this type of a parabola is, in vertex form,
where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex. For us, p = .25, h = 7, and k = -6. Filling in our formula:
Simplify the left side to
which simplifies, in its entirety, to
Answer:
40,000
Step-by-step explanation:
You want to start with the exponent and then multiply afterward in both of the equations.
8 x 10^-2:
10^-2 = 0.01
0.01 x 8 = 0.08
2 x 10^-6:
10^-6 = 0.000001
0.000001 x 2 = 0.000002
Obviously, you can see the relationship between 8 and 2 in the division. Now, you just divide 0.08 by 0.000002 and you get 40,000.
Answer:
-291
Step-by-step explanation:
The common difference is -5
So the 60th term of the arithmetic sequence is
4+(60-1)×-5
=4+59×-5
=4+-295
=-291
Answer: I believe it should be answer B
Step-by-step explanation: the x coordinate pairs with y and vice versa and if it’s positive you subtract is how I remember it.
Answer:fifty hops
Step-by-step explanation: 30/24=1.25 so ever second bounced she does 1.25 hops and therefore in forty seconds she will hop fifty times
