Answer:B560 por que se suman los dos numeros 39 + 41 y se multiplica por 7
Step-by-step explanation:
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:
The equation is x= (7.74 /9) 6
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
If 9 pencils cost $7.74, we have to divide the total cost ($7.74) by the number of pencils (9) to obtain the price of 1 pencil.
Now that we have the price of 1 pencil, to obtain the cost of 6 of them we simply multiply the result by six.
Mathematically speaking:
x= (7.74 /9) 6
Where:
x = Cost of 6 pencils in $
Solving:
x = 0.86 x 6 = $5.16
Area of half circle is (pi)r^2/2
d=3 r=d/2
r=3/2 or 1.5
(pi)×1.5^2/2
7.065/2= 3.5325ft^2
The original price is $21.59
take 19 divide by 0.88 (from 100% - 12%)