Answer:
An example of a quadratic equation is:
Step-by-step explanation:
This answer follows the standard form for a quadratic equation:
To solve this equation you do the following:
x^2 + 5x + 6 =0
The factors that can be added to get *5* and multiplied to get *6* are 3 & 2.
Therefore the new equation would be:
x^2 +3x + 2x + 6 = 0
<em>group the terms</em>: (x^2 +3x) (+2x + 6) = 0
<em>factorize</em><em>:</em><em> </em>x (x + 3) 2 (x + 3) = 0
<em>therefore</em><em>:</em><em> </em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>2</em><em>)</em><em> </em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>3</em><em>)</em><em> </em><em>=</em><em>0</em>
<em>x</em><em> </em><em>=</em><em> </em><em>-1</em><em> </em><em> </em><em>x</em><em> </em><em>=</em><em>-3</em>
A triangle is a three-edged polygon with three vertices. If the triangle is rotated 180° about the cross then it will be done as shown below.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to b
If the triangle is rotated 180° about the cross then it will be done as shown below. This is because the triangle is 2 units away from the cross(dot) therefore, after rotation it will be at the same distance from the point.
Learn more about Triangle:
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Answer:
4
Step-by-step explanation:
A function must pass the vertical line test, which means that two coordinates cannot have the same x coordinate. (They can't be directly above each other.)
The length (L) of the rectangle can be written as a function of the width (W)
:
Now since we know Area = Width*Length, we can write the area as a function of the width:
Distributing the W inside the parentheses we have:
We know the area is 54 ft^2, so we can rewrite it as:
Now solve for W by factoring (or by applying the quadratic formula):
Factor out a common 2W from the first two terms and a 9 from the last two terms:
Regroup the terms to get our fully factored equation:
This gives us the roots W = 6 and W = -9/2, but width can't be negative so we have width = 6 ft. Then remember that the length L = 2W - 3, so our length is:
So now we know that our rectangle is 9 feet long and 6 feet wide.