We have that
x² − 8xy + y²<span> = 8
</span>2x-8y-8x(dy/dx)+2y*(<span>dy/dx)=0
</span>8x(dy/dx)-2y*(dy/dx)=2x-8y
[8x-2y]*(dy/dx)=2x-8y
(dy/dx)=[2x-8y]/[8x-2y]
(dy/dx)=2*[x-4y]/2*[4x-y]
(dy/dx)=[x-4y]/[4x-y]
the answer is
(dy/dx)=[x-4y]/[4x-y]
<span>The percentile score would most likely be 97.5, Hope this helps!! :D
</span>
Answer:
Dimension => 10 m × 9.6 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = 96 m²
Circumference (C) = 39.2 m
Dimension =.?
Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:
Let L be the Lenght
Let B be the breadth
Area of a rectangle = L × B
96 = L × B ..... (1)
Circumference of rectangle = 2(L + B)
39.2 = 2(L + B) .... (2)
From equation 2, make L the subject
39.2 = 2(L + B)
Divide both side by 2
39.2 /2 = L + B
19.6 = L + B
Rearrange
L = 19.6 – B ....(3)
Substitute the value of L in equation 3 into equation 1
96 = L × B
L = 19.6 – B
96 = (19.6 – B ) × B
Clear bracket
96 = 19.6B – B²
Rearrange
B² – 19.6B + 96 = 0
Solving by factorisation
B² – 10B – 9.6B + 96 = 0
B(B – 10) – 9.6(B – 10) = 0
(B – 9.6)(B – 10) = 0
B – 9.6 = 0 or B – 10 = 0
B = 9.6 or B = 10
Substitute the value of B into equation 3:
L = 19.6 – B
B = 9.6
L = 19.6 – 9.6
L = 10
Or
L = 19.6 – B
B = 10
L = 19.6 – 10
L = 9.6
Since the length is always longer than the breadth,
Length (L) = 10 m
Breadth (B) = 9.6 m
Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:
Length (L) = 10 m
Breadth (B) = 9.6 m
Dimension =?
Dimension = L × B
Dimension = 10 m × 9.6 m
Answer:
£1638.40
Step-by-step explanation:
Step one:
Given data
A car costs £5000 when new
Each year the value decreases by 20%.
Step two:
let us compute the worth in the next 5 years
year 1
worth= 5000- 0.2*5000
worth= 5000-1000
worth= £4000
year 2
worth= 4000- 0.2*4000
worth= 4000-800
worth= £3200
year 3
worth= 3200- 0.2*3200
worth= 3200-640
worth= £2560
year 4
worth= 2560- 0.2*2560
worth= 2560-512
worth= £2048
year 5
worth= 2048- 0.2*2048
worth= 2048-409.6
worth= £1638.40
The person is wrong because after 5 years the car is worth £1638.40
Answer: F distribution. chi-square distribution. t distribution. normal distribution.
Step-by-step explanation:
