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Keith_Richards [23]
3 years ago
14

By what factor must you multiply a number in order to double its square root? With an example.

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0
Suppose it is x = the number

 Suppose that h is the factor by which we want to multiply the number to double its square root.
 So we have to:

 √ (hx) = 2√x.

 We solve the equation for us and that:

 hx = 4x
 h = 4.

 You must multiply by 4 to duplicate the square root
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Which of the following is the complete list of roots for the polynomial function f (x) = (x2 + 6x + 8) (x2 + 6x + 13)?
Natali5045456 [20]

Answer:

-2, -4, -3 + 2i, -3-2i

Step-by-step explanation:

Equaling the function to zero we have:

(x ^ 2 + 6x + 8) (x ^ 2 + 6x + 13) = 0  

For the first parenthesis we have:

(x ^ 2 + 6x + 8) = 0\\(x + 4) (x + 2) = 0  

Therefore the roots are:

x = - 4\\x = - 2  

For the second parenthesis we have:

(x ^ 2 + 6x + 13) = 0  

By completing squares we have:

x ^ 2 + 6x = -13  

x ^ 2 + 6x + (\frac{6}{2}) ^ 2 = -13 + (\frac{6}{2}) ^ 2\\x ^ 2 + 6x + 9 = -13 + 9\\(x + 3) ^ 2 = - 4\\x + 3 = +/- \sqrt{-4}    

Therefore the roots are:

x = -3 + 2i\\x = -3 - 2i  

Hope this was helpful

6 0
3 years ago
10 POINTS!!! A truss bridge is shown with two parallel horizontal beams crossed by vertical and slanted beams.
Ugo [173]

Answer:

x=40  °

Step-by-step explanation:

The two horizontal beams are parallel and the slanted beams make a traversal

Hence we use the basic properties of a transverse line making with two parallel lines.

please refer to the image attached to this answer.

The two angles described in the figure makes the alternate interior angles and this these two are congruent . Hence

x= 40°

3 0
3 years ago
(-2, 3), (3, -2), (1, 3), (0, -2)<br> DOMAIN<br> RANGE
AURORKA [14]

Answer:

(-2, 3) = domain -2 = range 3

(3, -2) = domain 3 = range -2

(1, 3), = domain 1 = range 3

(0, -2) = domain 0 = range -2

Step-by-step explanation:

5 0
3 years ago
Dan and Jake have new stamp collecting books. Dan puts 5 stamps in his book every day, and Jake puts 6 stamps in his book every
Ghella [55]
Jake puts 6 stamps in his book every day.

30/6= 5 

Jake put stamps in the book for 5 days.

So, Dan puts 5 stamps in the book every day.

5*5= 25

Dan has 25 stamps when Jake has 30.

I hope this helps!
~kaikers


4 0
3 years ago
Write the equation for a circle that satisfies the given conditions.
Alisiya [41]

The standard form of a circle is:

(x-a)^2+(y-b)^2=r^2

Your center is (-10,  -6) and your radius is 9

Plug them into the equation and you get

(x-(-10))+(y-(-6)) = 9^2

(x+10)^2 + (y+6)^2=81

The correct answer is D.

4 0
3 years ago
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