Someone please help Find a simplified expression to represent the area of the triangle. The area formula for a triangle is 1/2 by, where b is the base and h is the height.
The expression that represents the area of this triangle is ___x2 + ___x + ___cm2.

4x^2 +22x -12

Step-by-step explanation:

The area of a triangle is

A =1/2 bh  where b is the base and h is the height

A =1/2 ( 4x-2) ( 2x+12)

  Distribute

  = (2x-1) ( 2x+12)

FOIL

  first  2x*2x = 4x^2

 outer   2x * 12 = 24x

 inner  -1 *2x = -2x

last   -1 * 12 = -12

Add them together

4x^2 +24x -2x -12

Combine like terms

4x^2 +22x -12

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: