Answer:
Step-by-step explanation:
The formula for finding the midpoint of two coordinates is expressed as;
M(X,Y) =
Given the coordinates c(-4,5) and d(-1,-4), x1 = -4, y1 = 5, x2 = -1 and y2 = -4.
For the X coordinate of the midpoint
X = x1+x2/2
X = -4+(-1)/2
X = -4-1/2
X = -5/2
X = -2.5
Similarly for Y:
Y = y1+y2/2
Y = 5+(-4)/2
Y = 5-4/2
Y = 1/2
Y = 0.5
Hence the midpoint coordinate of C(-4,5) and D (-1,-4) is (-2.5, 0.5)
Let me express the equation clearly:
lim x→-9 (x²-81)/(x+9)
Initially, we solve this by substituting x=-9 to the equation.
((-9)²-81)/(-9+9) = 0/0
The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.
(2x-0)/(1+0) = 2x = 2(-9) = -18
The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999
((-8.999)²-81)/(-8.999+9) = -18
Consecutive terms in an arithmetic sequence differ by a constant
. So
Denote the
-th term in the sequence by
. Now that
, we have
which means
Dimension of smaller garden :
l = 1/2 ft.
b = 2/3 ft.
Dimension of bigger garden :
L = 4 ft.
Let , breadth be x ft.
We know , area is given by :
Area = L×B.
Area of small garden =
Area of big garden
Hence, this is the required solution.