Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Answer:
Δy = 0.822
dy = 0.6
Step-by-step explanation:
Let us use the rules:
If f(x) = y, then
- dy = f'(x) . dx
- Δy = f(x + Δx) - f(x)
∵ 
- Differentiate it (remember the differentiation of
is
∴ 
∴ 
∵ dy = y' . dx
∴ 
∵ x = 0
∵ dx = Δx
∵ Δx = 0.6
∴ dx = 0.6
- Substitute x by 0 and dx by 0.6 in y'
∴ 
- Remember any number to the power of 0 is 1 except 0
∵
= 1
∴ dy = 0.6
∵ Δy = f(x + Δx) - f(x)
∵ x = 0
- Substitute x by
∴ f(0) = 
∴ f(0) = 1
∵ Δx = 0.6
∵ x + Δx = 0 + 0.6
∴ x + Δx = 0.6
- Substitute x by 0.6
∴ f(0.6) = 
∴ f(0.6) = 1.8221188
∵ Δy = f(0.6) - f(0)
∴ Δy = 1.8221188 - 1
∴ Δy = 0.8221188
- Round it to the nearest 3 decimal places
∴ Δy = 0.822
hello i just took the test the answer is 26
The slope of a vertical line is 0
Hope this helps!
The answer is c which is correct