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fenix001 [56]
2 years ago
12

To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as o

ne of the steps to reaching the solution.
Mathematics
1 answer:
Karolina [17]2 years ago
6 0

Answer:

x = -1

x = 3

Step-by-step explanation:

\sf x^2 - 2x = 3

Add 1 to both sides:

\sf \implies x^2 - 2x+1 = 3+1

Factor the left side:

\sf \implies (x-1)^2 = 4

Square root both sides:

\sf \implies x-1 = \pm2

Therefore:

\sf \implies x-1=-2 \implies x=-1

\sf \implies x-1=2 \implies x=3

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Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing s
GREYUIT [131]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43

\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}

         =\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976

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2 years ago
SOMEONE PLEASE HELP!!!!!!!
aleksklad [387]
I strongly recommend that you find an illustration of an ellipse that features the three distances a, b and c.  You could Google "ellipse" and sort through the various illustrations that result, until you find the "right one."

There is an equation that relates a, b and c for an ellipse.  It is a^2 = b^2 + c^2.

a is relatively easy to find.  It is the distance from the center (0,0) of your ellipse to the right-hand vertex (20,0).  So a = 20.

b is the distance from the center (0,0) of your ellipse to the right-hand focus (16,0).  So b = 16.  You could stop here, as it was your job to find b.

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here    a^2 = 16^2 + 20^2.  Solve this for a.
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3 years ago
Show all work for full credit. Given: f (x) = -2x + 1, find f (1) x Clear h Undo​
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Answer:

I hope this helps

Step-by-step explanation:

five percent

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3 years ago
Find the perimeter of the following shape, rounded to the nearest tenth:
Mademuasel [1]

Answer:

B, 19.1

Step-by-step explanation:

Imagine that each side is the hypotenuse of a triangle. You want to use the Pythagorean theorem on each of these triangles to find the length of the side.

Let's start with AB:

One side of the triangle is the distance between the points in the x direction only. A is at the x-coordinate of -3 while B is at the x-coordinate of 2. The side is, thus, 5 units.

The other side of the triangle is the distance between the points in the y direction only. A is at the y-coordinate of 5, while B is at 6. The distance is 1 unit.

So we have a triangle with the base of 5 and the height of 1. The Pythagorean theorem says:

Base² + Height² = Hypotenuse²

Or

a² + b² = c²

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Put our values into this, the base is 5 and the height is 1:

5² + 1² = c²

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c = √26 ≈ 5.1

Repeat this for the lengths BC, CD, and DA.

BC

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CD

x-difference = 5

y-difference = 1

(since this is the same as AB we can use that value ≈ 5.1 )

DA

x-difference = 2

y-difference = 4

(since this is the same as BC, we can use that value ≈ 4.47)

Add all these together:

5.1 + 5.1 + 4.47 + 4.47 ≈ 19.14

(Note: this is not exact, but it's good enough for this purpose)

The closest option to this is B, 19.1 - thus, B is the answer.

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