Answer:
4(5+8)
Step-by-step explanation:
The GCF of 20 and 32 is 4. Then you divide 20 and 34 by 4.
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:
B = 12
Step-by-step explanation:
Give Brainllest plz
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Hello!
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❖ She threw the ball 10 yards.
The ratio we have is 3:1. Right now, we know she threw 30 feet. The relationship between the 3 and 30 is multiplying by 10. If you are multiplying the feet by 10, you have to multiply the yards by 10. When you multiply 1 x 10, you get 10. So the ration is 30:10 and she threw 10 yards.
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