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Anastaziya [24]
3 years ago
10

PLEASE HELP ME NEED TO PASS.

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0

I think 42 is the answer because if D and C equals 46 then you just subtract 4 from 46 and that equals to 42. Hope this helped

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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
Plsss helppp I’m dying!! —&gt; Complete the square to determine if the equation is a circle, quadratic equation, or other
sashaice [31]

a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have <em>general</em> equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into <em>standard</em> form to infer its <em>graphical</em> form. This procedure can be done by <em>algebra</em> properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

(4 · x + 12)² + (2 · y + 2)² = 64

4² · (x + 3)² + 2² · (y + 2)² = 64

(x + 3)² / 4 + (y + 2)² / 16 = 1 : Ellipse

x² + y² + 8 · x - 6 · y - 15 = 0

(x² + 8 · x) + (y² - 6 · y) = 15

(x² + 2 · 4 · x + 16) + (y² - 2 · 3 · y + 9) = 40

(x + 4)² + (y - 3)² = 40 : Circle

x² + 6 · x + 4 · y + 5 = 0

x² + 6 · x + 5 = - 4 · y

y = - (1 / 4) · x² - (3 / 2) · x - (5 / 4) : Parabola

To learn more on ellipses: brainly.com/question/19507943

#SPJ1

4 0
1 year ago
You have a jar of Marbles in front of you 2 are Cordovan, 9 are yellow, 3 are white and 7 are red. What is the probability, as a
liubo4ka [24]

Answer:

2/35

Step-by-step explanation:

Assuming that this is without replacement,

The total amount of marbles is 2+9+3+7, or 21.

9 are yellow, 3 are white. this makes 12.

The probability of selecting a white or yellow marble is 12/21.

Now without replacement (comment if it is with replacement.), there are 20 marbles left, and 2 are Cordovan. This means there is a 2/20 chance then of picking a Cordovan marble.

After multiplying the fractions we get

(12/21) * (2/20) = 2/35.

There is a 2/35 chance of selecting a yellow or white, then a cordovan marble.

4 0
3 years ago
Read 2 more answers
Please help as soon as possible will mark as brainliest
scZoUnD [109]

i think its c.

hope this helpped

7 0
3 years ago
The perimeter of a​ standard-sized rectangular rug is 2828 ft. the length is 22 ft longer than the width. find the dimensions.
o-na [289]
X + x + 22 + x + x + 22 = 2828
4x + 44 = 2828
4x = 2784
x = 696 ft
(x + 22) = 718 ft
3 0
3 years ago
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