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Bogdan [553]
3 years ago
12

The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is

198 ft, find the value of x
Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

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The measure of one angle is 80 degrees. What is the measure of its supplement? A 80 degrees B 100 degrees C 10 degrees D I don't
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Two lines intersect at a point, forming ​ ∠1 , ∠2 , ∠3 , and​ ​ ∠4 ​ .
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Because at whatever location,  <span>∠2 and ∠4 are vertical angles;
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Given:   m∠1  is 120°, and ∠1 is supplementary to ∠2 ;

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3 0
3 years ago
Find the difference when the polynomial -5x^2+3x+8 is subtracted from the polynomial 2x^2+4x+1.
geniusboy [140]

The difference is 7x^{2}  + 1x-7.

Step-by-step explanation:

Step 1:

The polynomial -5x^{2}+3x+8 is subtracted from the polynomial 2x^{2} + 4x +1.

If we write this as an equation, we get

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The subtraction of the constants; 1-(8) = -7.

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4 0
3 years ago
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