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Darya [45]
2 years ago
11

How I can apply the distribute property to this question?

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)

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An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
The cosine of the complimentary angle to 58 degrees
lana [24]
Yes
Divide it by sixty and multiply
I hope this helps
5 0
3 years ago
Simplify (65)2<br> O A. 670<br> O B. 67<br> C. 65<br> D. 63
Ket [755]
130 If you multiply that’s what it would give you so I’m not sure what those answers are
8 0
3 years ago
Every month, Mr. Leroy pays his rent through automatic payments (withdrawals) from his
GarryVolchara [31]

Answer:

-445/month

Step-by-step explanation:

I think that what you would do is divide -5,341 by 12, which gives you -445

6 0
3 years ago
How do you find perimeter of a rectangle?
Paha777 [63]
You add the numbers of all 4 sides. 
3 0
3 years ago
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