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pochemuha
3 years ago
11

Consider the difference of cubes identity:

Mathematics
1 answer:
slega [8]3 years ago
8 0

Answer:

(x - 4)(x² + 4x + 16)

Step-by-step explanation:

Using the difference of cubes identity

x³ - 64

= x³ - 4³

= (x - 4)(x² + 4x + 16)

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What is the perimeter of ABC?
lara31 [8.8K]

Answer:

B. 36+12sqrt(2)

Step-by-step explanation:

We can use Pitagoras' theorem to find the height of the triangle

15^2=9^2 + h^2

h^2=144

Lets apply square root to the whole equation:

sqrt(h^2=144)

h=12

With the height, we can now find the length of AC.

Sin(45)=12/AC.

AC=12/Sin(45)=24/sqrt(2)=12*sqrt(2) if we rationalize.

Now, lets fin the missing segment between B and C (call it)

where 9+x= BC

Cos(45)=x/AC

x=cos(45)*AC=12

Now, the perimeter is the sum of all its sides

AB+AC+BC=15+12*sqrt(2)+9+12=36+12sqrt(2)

5 0
4 years ago
Simplify the following rational expression and express in expanded form.
VladimirAG [237]

Answer:

D m =  -\frac{3}{8}

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> \frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}

=> -\frac{2m + 1}{8m + 3}

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> -\frac{2m + 1}{8(-\frac{3}{8} ) + 3} = -\frac{2m + 1}{-3 + 3} = -\frac{2m + 1}{0}

in this case, the values of m from option D make the denominator of the fraction equals 0.

6 0
3 years ago
Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/
Nady [450]

Answer:

1 5/8 hours

Step-by-step explanation:

Time spent reading stories = total time - (time spent for games and television)

3 - (1 3/4 + 1/2) = 3 - (7/8 + 4/8) = 24/8 - 11/8 = 13/8 = 1 5/8 hours

4 0
2 years ago
The fence is 68 feet long and 1/2 feet thick. 7 feet of space is between each post. How many posts are used for the fence. I thi
kolezko [41]

Answer:

We could say 10

Step-by-step explanation:

1) Remove unneeded info

2) Divide the length by the distance between posts

68/7

3) Will give you a decimal but ro7nd up to 10

8 0
3 years ago
Maya visits the movie rental store. On on wall, therear 6 DVDs on each of 5 shelves. On other wall, there are 4 DVDs on each of
Brrunno [24]
All together there are 46 dvds

5 0
3 years ago
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