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svlad2 [7]
3 years ago
13

24

la">bx^{2} +36ax^{2}b

factor completely, 20 points
Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:  12x²b(2x³ + 3a)

<u>Step-by-step explanation:</u>

When factoring, pull out what they have in common and leave the rest in the parenthesis)

                          24 x³ b x²            +        36 a x² b

=                     2 · <u>12</u> · x³ · <u>b</u> · <u>x² </u>     +    3 · <u>12</u> · a · <u>x²</u> · <u>b</u>

=  12 · x² · b   ( 2 ·      x³                  +    3 ·       a             )

=   12x²b (2x³ + 3a)

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I really need help please!!
Allisa [31]
Using similar triangles, we see that 12/x = x/16.  Multiplying by 16x, we see that x^2=12*16=192.

By the Pythagorean Theorem, 12^2+y^2=x^2.  Since x^2=192, we know that 144+y^2=192.  Subtracting 144 from both sides, we see that y^2=48, so y=4 \sqrt{3}.
5 0
3 years ago
HELP What is the area of this figure?
Mademuasel [1]
The correct answer is:  [B]:  "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ; 

in which:  " A = area (in units 'squared') ;  in our case, " yd² " ; 

                 " b = base length" = 6 yd.  

                 " h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→  A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ; 
                                                                 
                                                                   =  " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

   A = s² ;

in which:  "A = area (in "units squared") ; in our case, " yd² " ;
                 
                 "s = side length (since a 'square' has all FOUR (4) equal side lengths);

 A = s²  = (4 yd)² = 4² * yd² =  "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
        →  " 24 yd²  +  16 yd² " ; 

to get:  " 40 yd² " ;  which is:  Answer choice:  [B]:  " 40 yd² " .
_________________________________________________
4 0
4 years ago
An experiment involves 17 participants. From these, a group of 3 participants is to be tested under a special condition. How man
lakkis [162]

Answer: 680

Step-by-step explanation:

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Number of groups of 3 participants chosen = ^{17}C_3=\dfrac{17!}{3!(17-3)!}\

^{17}C_3=\dfrac{17!}{3!(17-3)!}\\\\=\dfrac{17\times16\times15\times14!}{3\times2\times14!}\\\\=680

Hence, there are 680 groups of 3 participants can  be chosen,.

8 0
4 years ago
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Simora [160]

Answer:

y=8

Step-by-step explanation:12 time what equals 24 its times two so you do 4 time 2 and you get your answer.

6 0
3 years ago
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Step-by-step explanation: To solve this problem all you need to know if number place values and how to change a percent to a decimal.

4 0
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