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Akimi4 [234]
3 years ago
9

8) Factor each sum or difference of cubes completely. a. 8x3 + 27

Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:

\large\boxed{(2x+3)(4x^2-6x+9)}

Step-by-step explanation:

8=2^3\\\\8x^3=2^3x^3=(2x)^3\\\\27=3^3\\\\8x^3+27=(2x)^3+3^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+3)\bigg((2x)^2-(2x)(3)+3^2\bigg)=(2x+3)(4x^2-6x+9)

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After a storm, two street lights with the same length are leaning against each
Ray Of Light [21]

Answer:

c = 4.79 feet

Step-by-step explanation:

Given question is incomplete without a picture; find the question with the attachment.

Two poles AD and DB of same length are leaning against each other.

Distance between the poles (AB) = 45 feet

m(∠ADB) = 180°- (60 + 50)°

               = 70°

By sine rule,

\frac{sin50}{AD}=\frac{sin70}{45}=\frac{sin60}{DB}

AD=\frac{45\times (sin50)}{sin70}

      = 36.68 ft

Similarly,

DB = \frac{45\times sin60}{sin70}

     = 41.47 ft

Now c = DB - AD

           = 41.47 - 36.68

           = 4.79 feet

4 0
3 years ago
Please help. I don't know where to start on the question.​
jeyben [28]

Answer:

multiply the numbers next to the variables by the given subtitution for the variable so 5 times 14 plus 36 and 6 times 12.5 minus 1 and 4 times 14 plus 50

Step-by-step explanation:

4 0
3 years ago
So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
rosijanka [135]

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

  • multiply top and bottom of 1/6 by 8 to get 8/48
  • multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48  + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

  • 14/2 = 7
  • 48/2 = 24

The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

6 0
2 years ago
1. Solve *
Mama L [17]

Answer:

x =−8

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units. What is the length of AC?
astra-53 [7]
The area of a kite:
A = d1 * d2 / 2
d1 = BD = 8 units
48 = 8 * AC / 2
48 * 2 = 8 AC
96 = 8 AC
AC = 96 : 8 = 12
Answer: D ) 12 units
7 0
3 years ago
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