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Pachacha [2.7K]
1 year ago
12

The base of a triangle is twelve more than twice its height. If the area of the triangle is 43 square centimeters, find its base

and height.
Mathematics
1 answer:
frosja888 [35]1 year ago
3 0

Answer:

B=37

H=66

Step-by-step explanation:

Use algebra and find the answer.

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What is the least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number?
Mrrafil [7]

The least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number is 2018

<h3>What is an Expression ?</h3>

An expression is a mathematical statement consisting of variables , constant and mathematical operators.

The expression given is

(x+1)(x+2)(x+3)(x+4)+2019

To find the minimum value

(x+1)(x+2) = ( x² +3x +2) = ( x +5/2)² - 9/4

(x+3)(x+4) =  (x² +7x +12) = ( x +5/2)² -1/4

(x+1)(x+2)(x+3)(x+4) = (  x +5/2)⁴ - 5/2 ( x +5/2)² +9/16

Considering ( x +5/2)²  = y

(x+1)(x+2)(x+3)(x+4) = y² - 5/2y + 9/16

(x+1)(x+2)(x+3)(x+4) = ( y - 5/4)² - 1

(x+1)(x+2)(x+3)(x+4) = (  ( x +5/2)² -5/4)² - 1

The minimum value when x is a real number is -1

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-1 +2019 = 2018

x has two possible real solution

and the least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number is 2018.

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