Answer:
<em>Distance ⇒ 5 meters</em>
Step-by-step explanation:
If we are to name the point with which Patrick stands P, Eddie's point E remains 4 meters south such that Dustin ( D ) is 3 meters to the right;
This in fact forms a 90 degree triangles, a right triangle with legs provided to be 4 and 3 knowing Eddie's remains 4 meters south, Dustin 3 meters to the right. If we are to determine how far apart Patrick and Dustin are, this is the hypotenuse of the right angle triangle formed, and the length can be determine through Pythagorean Theorem;
4^2 + 3^2 = x^2, x ⇒ distance between Patrick and Dustin,
16 + 9 = x^2,
x^2 = 25,
<em>Distance ( x ) ⇒ 5 meters</em>
Answer:
1350
Step-by-step explanation:
use binomial general term expression for (r+1)th term
get the power of x in terms of r.
equate the expression to -2 and solve for r.
replace value of r and calculate the coefficient.
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:
D
Step-by-step explanation:
please the answer is D which is 35x - 35y + 25
