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>
Given:
The table that shows the relationship of the total number of pieces of fruit to the number of bananas.
To find:
Why is 
not equivalent to 
.
Solution:
If a, b, c are real numbers, then
The given fraction is . It can be written as:
The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be 
, not .
Therefore, the correct option is A.
Answer: Your question is missing information but this is what you do to answer your question step by step
B = Cost of 8 pack / 8 bottles = $ Cost of 8 pack/ 8 =$ ____ per bottle
A = Cost of 6 pack/ 6 bottles = $ Cost of 6 pack/ 6= $ ____ per bottle
then do a simple subtraction A -B = savings
Step-by-step explanation: Information is incomplete
if an 8 pack cost $16
If the 6 pack cost $15
All you do is a simple subtraction after calculations
Cost of 8 pack / 8 bottles = $16/8 =$2 per bottle
Cost of 6 pack/ 6 bottles = $15/ 6= $2.50 per bottle
in my example
You would save $ 0.50 per bottle by purchasing the 8 pack
Answer:
Your answer is
Fourth grade student = 25%
Fifth grade= 33.33%
Sixth grade= 41.67%
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