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taurus [48]
2 years ago
8

(3-√5)(3-√5) Please Include Steps

Mathematics
1 answer:
wariber [46]2 years ago
4 0

\left( 3 - \sqrt 5 \right) \left( 3 - \sqrt 5 \right) \\\\=\left( 3 - \sqrt 5 \right) ^2\\\\=3^2 - 2 \cdot 3 \cdot \sqrt 5 + \left( \sqrt 5 \right)^2\\\\=9-6\sqrt5 +5\\\\=14-6\sqrt 5\\\\=2(\left7-3\sqrt 5 \right)

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one number is four times as large as another if the numbers are added together the result is six less than seven times the small
liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

4x + x = 7x - 6\\5x =  7x - 6\\-2x = -6\\x = 3

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

4 0
3 years ago
What is the rule for this pattern? 1st term:32, 2nd term:36, 3rd<br>term:40​
Alenkasestr [34]

Answer:

Add four to each sum

Step-by-step explanation:

32, 36, 40

32 + 4 = 36

36 + 4 = 40

Rule: Add four to each sum

Hope this helped!

(Let me know if I got something wrong!)

4 0
3 years ago
Read 2 more answers
What is the property of an angle?​
Elena-2011 [213]

Answer:

When to lines intersect they create four angles. Each angle is opposite to another and form a pair of what are called opposite angles. Angles a and c are opposite angles. Angles b and d are opposite angles. Opposite angles are equal.

3 0
3 years ago
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Find the area of the figure.
svetlana [45]

Answer:

203 YD

Step-by-step explanation:

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3 years ago
Solve the system by substitution.
Iteru [2.4K]

Answer:

I gave you most of the answer. I'll let you check my work and find the point using the solution.

Step-by-step explanation:

The first thing we do is we divide by negative one in the first equation to get

y = -x.

-3x + 3y = -36

Plug in y = -x and get

-3x + 3(-x) = -36

= -3x - 3x = -36

This equals -6x = -36

divide both sides by -6 and you get 6. 6 is your x value

Plug 6 back in to the second equation.

-3x + 3y = -36

-3(6) + 3y = -36

-18 + 3y = -36

3y = -18

y = -6

3 0
2 years ago
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