A ratio comparing two quantities measures in different units . An equation stating that two ratios or rates are equivalent. Percent proportion . One ratio or function compares part of a quantity to the whole quantity.
Answer: x = ¹/₂ ± √⁸¹
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2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
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2
Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.
STEP 1
convert 24 inches to feet
12 inches= 1 foot
24 inches= 2 feet
STEP 2
set up ratio.
= 2 feet/556 feet or 2:556
simplify both by 2
= 1 ft/278 ft or 1:278
ANSWER: 1/278 or 1:278 (can be written either way)
Hope this helps! :)
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