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Yuki888 [10]
3 years ago
12

A3-b3=(a-b)(a2+an+b2) 64x6-27

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0
<span>a³-b³=(a-b)(a²+ab+b²)

64x⁶ - 27

64 = 4³, 
x⁶ = (x²)³
27 = 3³

</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³.  Now, we can use a formula where a=4x², b=3

(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) =  (4x² -3)(16x⁴ +12x² + 9) 
<span>
Answer: </span>64x⁶ - 27=  (4x² -3)(16x⁴ +12x² + 9) <span>

</span>
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Can someone help me with this please
Anni [7]

Answer:

x = 61

Step-by-step explanation:

These 2 angles are supplementary which means they add up to 180:

2x - 6 + x + 3 = 180

3x - 3 = 180

3x = 183

x = 61

3 0
3 years ago
Help me solve this problem please
miss Akunina [59]

Answer:

JL = 54

Step-by-step explanation:

JL = JK + KL

JK = KL

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substitute for x:

8(2)+11 + 14(2)-1 = JL

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JL = 54

7 0
3 years ago
How is 400, 000 + 8000 + 500 + 6 written in standard form ?
andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result
Vaselesa [24]

<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) (10-x)(12-x)=15

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

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

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

length=10-x\\breadth=12-x

According to question , Area of new image is :

⇒ Area = \frac{1}{8}Length(breadth)

⇒ Area = \frac{1}{8}(10)(12)

⇒ Area = 15

So the equation will be :

⇒ (10-x)(12-x)=15

b. Find the dimensions of the reduced image

Let's solve :  (10-x)(12-x)=15

⇒ 120-10x-12x+x^2=15

⇒ 120-22x+x^2=15

⇒ x^2-22x+105=0

By Quadratic formula :

⇒ x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x = \frac{22 \pm8 }{2}

⇒ x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}

⇒ x = 15 , x =7

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ x =7

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0
3 years ago
Rochelle invests in 500 shares of stock in the fund shown below. name of fund nav offer price hat mid-cap $18.94 $19.14 rochelle
Naddik [55]
Data:

<span>Number of shares: 500

name of fund       nav                offer price
hat mid-cap          $18.94           $19.14

Profit $6,250.


1) Investment = number of shares * offer price = <em />500 * $ 19.14 = $ 9570

2) Total net value = profit +  investment = $6250 + $9570 = $15820

3) NAV = total net value / number of shares = $15820 / 500 = $31.64

Answer: option c: 31.64
</span>
5 0
3 years ago
Read 2 more answers
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