Answer:
no problem?
Step-by-step explanation:
Answer:
20 feet
Step-by-step explanation:
1st piece = x
2nd piece = 2x
3rd piece = 6x
x+2x+6x=180
9x=180
x=20
so the first piece is 20 feet, the second is 40, and the third is 120.
Answer:
1.6627 (money wise, $1.66)
Step-by-step explanation:
Since its 130%, you know there was already a whole increase. So first you would do 1.279 + 1.279, which would give you 2.558. Then you need to calculate 30% of 1.279 for the rest of the increase. That gives you 0.3837 Add 2.558 and 0.3837 together, which would give you 2.9417. To get the INCREASE, you would have to subtract the new total from the original price, so 2.9417 - 1.279. This would give you 1.6627.
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>
$15 more, than twice Friday's earnings
d is how much he earned on Friday
s is how much he earned on Saturday
2d + 15 = s