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:
Divide the number of pages in the album by the 90 photos
Place one photo on a page at a time then start over when he reaches the end of the album and continue to repeat until all photos are gone
Just have one page of photos
Step-by-step explanation:
Answer:
26%
Step-by-step explanation:
345. 24 - 274 = 71.24
71.24 / 274 =0.26
0.26 * 100 = 26
Answer:
Not sure what the answer choices are, but choose the choice that says the new image is either stretched or shrunk. In a dilation, the shape/corresponding sides of the pre-image are preserved in the new image, but the size of the new image is altered.
Step-by-step explanation:
hope this helps!
<h2>
Answer:</h2>
7/200 as a decimal is <em>0.035</em>
<h2>
Step-by-step explanation:</h2>
Simply divide the numerator by the denominator:
= 7/200
= 7 ÷ 200
= 0.035
