The polynomial cannot be factored in because it exists prime. Since 112 exists not a perfect square number so we cannot estimate the factors of the given equation.
<h3>What is a quadratic equation?</h3>
In a quadratic equation ax² + bx + c = 0
when (b² - 4ac) exists a perfect square only then we can factorize the equation.
In the given equation x² - 8x - 12 we have to determine the value of
b² - 4ac
From the equation, we get b = -8 and c = -12
b²- 4ac = (-8)² - 4(1)(-12)
= 64 + 48 = 112
Since 112 exists not a perfect square number so we can not estimate the factors of the given equation.
To learn more about quadratic equation refer to:
brainly.com/question/1214333
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The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units
<h3>How to determine the area of the figures?</h3>
The area of a rectangle is:
Area = Length * Width
The area of a square is:
Area = Length * Length
From the question, the given parameters are:
AB =AH = x ;
BC=5;
HG=3
This means that the area of square HJFG is:
Area = HG * HG
Area = 3 * 3
Area = 9
<em>Note that the other areas cannot be calculated because the question is incomplete</em>
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Read more about areas at:
brainly.com/question/17335144
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h = 6
Work Shown:
4h + 6 = 30
1. 4h + 6 -6 = 30 - 6 ---> 4h = 24
2. 4h /4= 24/4 ---> 6
h = 6
Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We are given the values of m and b. Inserting the given values into the equation gives us:
y = -2x + 4
This is the slope-intercept equation of the line. Let me know if you need any clarifications, thanks!
