L = w - 5
2*l + 2*w = 26
2*(w - 5) + 2*w = 26
2w - 10 + 2w = 26
4w = 36
w = 9
l = w - 5
l = 9 - 5
l = 4
Final Answer:
The rectangle is 4cm long and 9cm wide.
Hope I helped :)
Answer:
A. 4/5 of a banana
Step-by-step explanation:
Given that a country produces only apples and bananas.
Moving from point A to point B along its production possibilities frontier, 5 apples are gained and 4 bananas are forgone
i.e. preferences for 5 apples are equal to 4 bananas
5 apples = 4 bananas
Let us calculate unit rate i.e. how much 1 apple is equivalent to. this would give the opportunity cost, namely the cost of gain of 1 apple
1 apple= 
banana
Hence opportunity cost = 4/5
i.e. Option A is right
Answer:
A) Gradient = -3
B) 3y - x = 7
Step-by-step explanation:
The curve has the equation;
y = x³ - 6x² + 9x + 1
We are given the pints it passes through as;
A(2,3) and P(3, 1)
A) to find the gradient, we will find the derivative of the given equation.
Thus;
Gradient = y' = 3x² - 12x + 9
At point A, x = 2. Thus;
Gradient = 3(2²) - 12(2) + 9
Gradient = 12 - 24 + 9
Gradient = -3
B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3
Thus, equation of the normal to the curve at point A will be;
(y - 3) = ⅓(x - 2)
Multiply both sides by 3 to get;
3y - 9 = x - 2
3y - x = 9 - 2
3y - x = 7
I’m gonna say 69
Yeah I think that’s the right answer
Answer:
15, 840.
Step-by-step explanation:
-HCM(GCM)
105's factor are 1, 3, 5, 7, <em>15</em>, 21, 35, 105.
125's factor are 1, 2, 3, 4, 5, 6, 8, 10, 12, <em>15</em>, 20, 24, 30, 40, 60, 120.
so, the answer is 15!
