What is the x-coordinate of the solution to the system?
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Answer:
The values of x which would give an area of 240m² would be:
Step-by-step explanation:
Given
The base of triangle b = 2x+1
The height of triangle h = 6x-3
The Area of the triangle A = 240 m²
The Area of the triangle has the formula
A = 1/2 × b × h
substituting b = 2x+1, h = 6x-3 and A = 240
Subtract 480 from both sides
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
solving
Divide both sides by 2
also solving
Divide both sides by 2
Therefore, the values of x which would give an area of 240m² would be: