Step-by-step explanation:
∑k=150(3k+2)
First find a1 and a50 :
a1=3(1)+2=5a20=3(50)+2=152
Then find the sum:
Sk=k(a1 + ak)2S50=50(5 + 152)2=3925
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:
( 41° * π * radius) / 180
Step-by-step explanation:
The arc measure of major arc ABC on circle P is
( 41° * π * radius) / 180 degrees.
For instance if P = 5 then see the picture, the Arc Length = 3.58
Answer:
pandemic, epidemic.
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
The rotation pattern is y,-x so, this means that the angle is 90°