Answer:
Step-by-step explanation:
We have that:
When we substitute n=1, we get:
When we substitute n=2 we get:
When we substitute n=3, we get:
When we substitute n=n+1, we get:
Now
We expand and simplify to obtain:
Answer:
2
Step-by-step explanation:
Use the property of equality :)
The third angle would be 100 degrees
Explanation: 360-85-115-60= 100
Answer:
C
Step-by-step explanation:
The vertex form for a parabola is a(x-h)^2 + k, where h is the x coordinate of the vertex and k is the y coordinate. a represents the amount that the graph has been "squeezed". Therefore, since the coordinates of the vertex of this parabola are (2,4), and it is "squeezed" by a factor of 2, the correct answer is C. Hope this helps!
Answer:
y=1/∛4 divides the area in half
Step-by-step explanation:
since the minimum value of x² is 0 (for x=0 ) and for y=1
1 = 25*x² → x= ±√(1/25) = ±1/5
then the total area between y=1 and y = 25*x² is bounded to x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus
Area below x=C = Area above x=C
Area below x=C = Total area - Area below x=C
2*Area below x=C = Total area
Area below x=C = Total area /2
∫ 25*x² dx from x=c to x=-c = 1/2 ∫ 25*x² dx from x=1/5 to x=-1/5
25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]
2*c³/3 = (1/5)³/3
c = 1/(5*∛2)
thus
y=25* x² = 25*[1/(5*∛2)]² = 1/∛4
thus the line y=1/∛4 divides the area in half
