Answer:
Your answer is A.
Hope this helps!
Step-by-step explanation:
Line r's equation is
y = - 4/3x - 4
And Line s's equation is
y = 2/5x - 2
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>
The distance formula is the square root of (X2 - X1)^2 + (y2 - y1)^2. Let D = y and c = x. Plug in the numbers now. Your equation is now the square root of ( -3 - (-5)) ^2 + (-2 - (-4))^2. Now complete it, your answer is 2.82...
Answer:
k = 10
Step-by-step explanation:
X progresses by 25, while y progresses by 250.
So divide 250 ÷ 15 and your answer is 10.
Answer:
What is the relative frequency of a student choosing the aquarium? Give your
answer as a decimal rounded to the nearest hundredth. (The hundreths place is two
decimal places. For example, .9543 would be rounded to .95)
Step-by-step explanation:
