Answer:
22 + 3pi
Step-by-step explanation:
The width of the rectangle is 6. The height of the rectangle is 8. The diameter of the semicircle is 6.
perimeter = 8 + 6 + 8 + (1/2)(pi)d
perimeter = 22 + (1/2)(pi)(6)
perimeter = 22 + 3pi
The given equation of the ellipse is x^2
+ y^2 = 2 x + 2 y
At tangent line, the point is horizontal with the x-axis
therefore slope = dy / dx = 0
<span>So we have to take the 1st derivative of the equation
then equate dy / dx to zero.</span>
x^2 + y^2 = 2 x + 2 y
x^2 – 2 x = 2 y – y^2
(2x – 2) dx = (2 – 2y) dy
(2x – 2) / (2 – 2y) = 0
2x – 2 = 0
x = 1
To find for y, we go back to the original equation then substitute
the value of x.
x^2 + y^2 = 2 x + 2 y
1^2 + y^2 = 2 * 1 + 2 y
y^2 – 2y + 1 – 2 = 0
y^2 – 2y – 1 = 0
Finding the roots using the quadratic formula:
y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1
y = 1 ± 2.828
y = -1.828 , 3.828
<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828)
and (1, 3.828).</span>
Answer:
444 & 1017.5
Step-by-step explanation:
for 363636 km car uses 333litres
=> km travelled per liter = 363636/333 1092 km/l
litres used for 484848km = 484848/1092
=> litres for 484848km = 444litres
litres used for 1111111km = 1111111/1092 = 1017.5 litres
Answer:
3
Step-by-step explanation:
3 squared is 9 which would make 3 the square root of 9