Answer is B
area for a trapezoid is [( Base 1 + Base 2 ) * height] /2
which in this case would be [( 7 + 10 ) * 7]/2
(17)7/2
59.5
Answer and Step-by-step explanation:
The computation of points on the ellipse is shown below:-
Distance between any point on the ellipse
To minimize
Now we create a table by applying the critical points which are shown below:
t 
0 
<u />
<u />
When t = , x is 
and y is 
. So, the required points are 
When t = , x is and y is 
. So, the required points are 
Answer:
y= -1/4x - 1/4
Step-by-step explanation:
y - y1 = m(x - x1)
y - 1 = -1/4 (x -(-5/4))
y - 1 = -1/4x - 5/4
y = -1/4x - 1/4
Answers:
The series converges
The sum is -8/3
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a = -4 is the first term
r = -1/2 is the common ratio
the reason why is because the expression -4(-1/2)^(n-1) is in the form a(r)^(n-1). Notice how -4 matches with the 'a'; the -1/2 matches with the r
The common ratio will determine if the infinite series converges or not.
r = -1/2 leads to |r| = |-1/2| = 1/2 = 0.5
Since |r| < 1 (in this case 0.5 < 1) is true, this means the series does converge.
Put another way, because r = -1/2 = -0.5 makes -1 < r < 1 true, the series converges.
Use the formula below to find the converging value S
S = a/(1-r)
S = -4/(1-(-1/2))
S = -4/(1+1/2)
S = -4/(2/2+1/2)
S = -4/(3/2)
S = (-4/1)/(3/2)
S = (-4/1)*(2/3)
S = (-4*2)/(1*3)
S = -8/3
The infinite series converges to -8/3
So the sum is -8/3
0.11×11%×40.60%×4=0.11×+40%.604
