Answer:
x = 6 cm
Step-by-step explanation:
We can write equations for length and width using the information given:
length = 2 + x
width = 2x - 5
Area = (length)(width) = 56
Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x
Simplifying:
Area = 2x² - x - 10 = 56
2x² - x - 66 = 0
Factoring:
(2x + 11)(x - 6) = 0
x = 6, -11/2
We choose the positive number: x = 6 cm
To check, plug in 6 for x:
Area = (2 + x)(2x - 5) = 56
(2 + 6)(12 - 5) = 56
(8 × 7) = 56
56 = 56
The solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
<h3>What is a quadratic equation?</h3>
Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic equation:
x² + 2x - 2 = 0
x² + 2x + 1 - 1 - 2 = 0
(x + 1)² - 3 = 0
(x + 1)² = 3
x + 1 = ± √3
x = -1 ± √3
Thus, the solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
Learn more about quadratic equations here:
brainly.com/question/2263981
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Top, right because the numbers are increasing by the same amount (2 in this case).
Hi there!
nearest percentage=64%
<em><u>1.Subtract starting value and final value:</u></em>
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<em><u>2.Divide it by the starting value:</u></em>
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<em><u>3.Multiply the term by 100:</u></em>
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<em><u>4.Round the term:</u></em>
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Therefore, the decrease of the total 8 years was 64%.
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Answer:
The exact solution for this equation would be (2.222, -11.889)
Step-by-step explanation:
Since it told us to use a graphing calculator, I went on to desmos graphing calculator, typed in the equation, then I found out where the two line intersect, and then that was the answer.