Answer:
9-3=6
Step-by-step explanation:
Line from left to right: number 9 (absolute value)
Line from right to left: number 3 (absolute value)
Overall: 9-3=6
We used the minus sign for 3 because the corresponding line is oriented in the opposite direction.
This is an example of "classical probability". Whenever the probability of all events is the same, then the probability is calculated by dividing the number of "favorable events" of total events.
For this problem, the total number of events is the total number of balls, it is 40. The number of favorable events it the number of pink balls, it is 6.
So, the answer is 6/40, which can be written as 3/20.
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: $2394.43
explanation: use equation A=Pe^rt. A=2000e^(0.03x6). A=2394.43
