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alekssr [168]
3 years ago
10

What is the length of the longest item that will fit inside the shipping box

Mathematics
1 answer:
dsp733 years ago
4 0

The length of the red dashed line would be found using the Pythagorean thereom.

X = √(24^2 + 12^2)

X = √576 + 144)

X = √720

X = 12√5 inches.

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(x+12) (3x+2)<br> Find the value of X
KatRina [158]

Step-by-step explanation:

Equation at the end of step 1

(3x2 - 38x) + 24 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  3x2-38x+24 

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -38x  its coefficient is  -38 .

The last term, "the constant", is  +24 

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72 

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -38 .

     -72   +   -1   =   -73     -36   +   -2   =   -38   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -36  and  -2 

                     3x2 - 36x - 2x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                    3x • (x-12)

              Add up the last 2 terms, pulling out common factors :

                    2 • (x-12)

Step-5 : Add up the four terms of step 4 :

                    (3x-2)  •  (x-12)

             Which is the desired factorization

Equation at the end of step2:

(x - 12) • (3x - 2) = 0

STEP3:Theory - Roots of a product

 3.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

 3.2      Solve  :    x-12 = 0 

 Add  12  to both sides of the equation : 

                      x = 12

Solving a Single Variable Equation:

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3 years ago
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earnstyle [38]

Answer:

x

Step-by-step explanation:

If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice

8 0
2 years ago
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Nat2105 [25]
A number (we will call X) times 8 Is 8x
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What two numbers multiply to -36 and add up to -9
Softa [21]

Answer:

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Step-by-step explanation:

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2 years ago
1. what is the phythaforean theorem?
irina1246 [14]

Answer:

phythaforean theorem:

1 . The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

2.  Find the square root to find the accurate length of the hypotenuse.

distance formula:

1. The distance formula is used to determine the distance, d, between two points.

distance = speed × time

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