The answer to your question is (0,3)
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By using subtraction of <em>yellow</em> areas from the <em>entire</em> squares, the areas of the <em>inscribed</em> shapes are listed below:
- 18 units
- 20 units
- 12 units
- 12 units
<h3>How to calculate the areas of the inscribed shapes</h3>
The areas of the <em>inscribed</em> shapes can be easily found by subtracting the <em>yellow</em> areas from the square, in order to find the value of <em>green</em> areas. Now we proceed to find the result for each case by using <em>area</em> formulae for triangles:
Case A
A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)
A = 36 - 18
A = 18 units
Case B
A = 6² - 4 · 0.5 · (2) · (4)
A = 36 - 16
A = 20 units
Case C
A = 6² - 0.5 · 6² - 0.5 · 6 · 2
A = 36 - 18 - 6
A = 12 units
Case D
A = 6² - 2 · 0.5 · 6 · 4
A = 36 - 24
A = 12 units
To learn more on inscribed areas: brainly.com/question/22964077
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Answer:
x = 3/2
Step-by-step explanation:
(2x + 3)2 – 4(2x + 3) - 12 = 0
Simplify the equation then isolate for x.
Distribute over brackets:
(4x + 6) – (8x + 12) - 12 = 0
Combine like terms:
4x + 6 – 8x + 12 - 12 = 0
6 - 4x = 0
Isolate x:
6 = 4x
6/4 = x
Reduce the fraction:
6/4 = x <= divide top and bottom by "scale factor" of 2
3/2 = x
x = 3/2 <= having x on the left side is standard
