Answer:
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Find the diameter of circle using pythagoras
d = √(Δx² + Δy²)
d = √((7-1)² + (-6-2)²)
d = √(6² + (-8)²)
d = √100
d = 10
The diameter is 10
Find the circumference
c = π × d
c = 3.14 × 10
c = 31.4
Answer:
x= 17.5
y= 35
Step-by-step explanation:
Steps are in attachment.
Answer:
graphing : Find the intersection points
substitution method : If you have e.g. x+2y=9 and x=3+2y, we can substitute it, (3+2y)+2y=9
elimination method : Make two variables the same, minus them and solve the equation
Step-by-step explanation:
Answer:
A) Dimensions;
Length = 20 m and width = 10 m
B) A_max = 200 m²
Step-by-step explanation:
Let x and y represent width and length respectively.
He has 40 metres to use and he wants to enclose 3 sides.
Thus;
2x + y = 40 - - - - (eq 1)
Area of a rectangle = length x width
Thus;
A = xy - - - (eq 2)
From equation 1;
Y = 40 - 2x
Plugging this for y in eq 2;
A = x(40 - 2x)
A = 40x - 2x²
The parabola opens downwards and so the x-value of the maximum point is;
x = -b/2a
Thus;
x = -40/2(-2)
x = 10 m
Put 10 for x in eq 1 to get;
2(10) + y = 40
20 + y = 40
y = 40 - 20
y = 20m
Thus, maximum area is;
A_max = 10 × 20
A_max = 200 m²
