Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
Answer:
48
Step-by-step explanation:
10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48,
English Alphabet = e
Greek Alphabet = g
The English Alphabet has 20 letters more than one-fourth the numbers of letters in the greek alphabet: 1/4g + 20 = e
The English has 26 letters.
Plug in 26 for e
1/4g + 20 = 26
Isolate the g, do the opposite of PEMDAS. Note the equal sign. What you do to one side you do to the other.
Subtract 20 from both sides
1/4g + 20 (-20) = 26 (-20)
1/4g = 26 - 20
1/4g = 4
Multiply 4 to both sides to isolate the g
1/4(4)g = 4(4)
g = 4(4)
g = 16
The Greek Alphabet has 16 letters
hope this helps
Answer:
Step-by-step explanation:
In ΔABC, we have
The Converse of the basic proportionality theorem states that if a line divides two sides of a triangle in same ratio then the line must be parallel to the third side.
Now, it is given that , this implies that line segment DE divides AB and AC in the same ratio.
Thus, by converse of basic proportionality theorem
line segment DE= line segment BC.
Therefore, if ,then line segment DE is parallel to line segment BC .
