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Oksi-84 [34.3K]
3 years ago
15

Second grade Solve using algorithm. Draw chips and bundle when you can

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0
Idk what your answer will be i had it then i lost it sorry
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At which points are the tangents drawn to the ellipse x 2 + y 2 = [ a ] x + [ a ] y parallel to
In-s [12.5K]

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>

3 0
3 years ago
2(5x+7)=34 two step equation full answer
Valentin [98]
First use distributive property. Then isolate the variable and get x=2.

8 0
3 years ago
Help me answer these2 questions plz
AlladinOne [14]
First one is c and the second im not sure on
6 0
3 years ago
In a newspaper, it was reported that the number of yearly robberies in Springfield in
ryzh [129]

Answer:

The number of robberies in 2014 is 108

Step-by-step explanation:

Here, we want to calculate the number of robberies in 2014

from the question, the robberies went down by 40%

Let the number of robberies in 2014 be x

Thus;

40/100 * 180

= 72

This means that the value it went down was by 72

Thus;

x = 180-72

x = 108

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2 years ago
Employee Earnings per
Nadya [2.5K]

Answer:

actually its depend on how is he working day by day

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