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saw5 [17]
2 years ago
9

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

Mathematics
1 answer:
andrew11 [14]2 years ago
3 0

Answer:

Perfect squared trinomial is: (c-\frac{2}{10})^2- \frac{4}{100}

Step-by-step explanation:

We need to Complete the square to make a perfect square trinomial.

c^2-\frac{2c}{5}

For making it a perfect square it should be of form: a^2-2ab+b^2

Looking at the given term it can be written as:

c^2-\frac{2c}{5}\\=c^2-2(c)(\frac{2}{10})

So, we have to add (2/10)^2 on both sides

=c^2-2(c)(\frac{2}{10})+(\frac{2}{10})^2-(\frac{2}{10})^2\\=(c-\frac{2}{10})^2- (\frac{2}{10})^2\\=(c-\frac{2}{10})^2- \frac{4}{100}

So, perfect squared trinomial is: (c-\frac{2}{10})^2- \frac{4}{100}

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Select the correct answer. If a six-sided die is rolled 30 times, how many times can you expect to get a 6?​
solniwko [45]

Answer:

5

Step-by-step explanation:

6 over 30 simplify it and boom (divide 30 by 6)

6 0
3 years ago
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Solve the inequality.<br><br> 3≤7+g
Anastaziya [24]

Answer:

g-4

Step-by-step explanation:

first subtract 7 from both sides

then you will get -4\leqg

which is the same as g\geq-4

you just have to switch them

6 0
2 years ago
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On a piece of paper, use a protractor to construct a triangle with angle measures of 100° and 30°.
yanalaym [24]

The third angle measures 50° and all sides have different lengths.

<h3>What is a triangle?</h3>

A triangle is a polygon with three sides and three angles. Types of triangles are<em> isosceles, equilateral, scalene and right angled.</em>

The sum of angles in a triangle is 180 degrees.

A triangle with angle measures of 100° and 30°, let x represent the third angle, hence:

x + 100 + 30 = 180° (sum of angles in a triangle)

x = 50°

Also, all sides have different lengths since all the angles are different.

Find out more on triangle at: brainly.com/question/2644832

8 0
2 years ago
Heeelppp with this pleasee 30 points
Naddika [18.5K]

Look kid, this question has been up for 16 hours think its time to let it go......... hoped i helped. ✔verified✔

7 0
3 years ago
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Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0
miss Akunina [59]
<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

(x-h)^{2}+(y-k)^{2}=r^{2}

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^2+y^2-2x+4y-11=0

So, solving we have:

x^2+y^2-2x+4y=11

(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16

(x^2-1)+(y^2-(-2))=16

Now, we have that:

h=1\\k=-2\\r=\sqrt{16}=4

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0
3 years ago
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