Their common factors are :1, 2 ,5 ,10
Answer:the perimeter of the regular pentagon is 5x + 20
Step-by-step explanation:
The perimeter of a plane figure is the distance around the plane figure. The pentagon is a plane figure. It has 5 sides. Since it is a regular Pentagon, it means that all the sides are equal.
From the information given, the length of each side of the regular Pentagon is x + 4
The perimeter of the regular Pentagon would be 5 times the length of each side. It becomes
5(x + 4) = 5x + 20
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: C. 1/8
Step-by-step explanation:
2/16 were pepperoni at pizza hut the first time,
then simplifying 2/16 = 1/8 = 1/8 chance.
55 degrees because a line measures 180 degrees so you subtract 125 from 180
