Tell whether the ratios form a proportion. 25/16 , 65/56
1 answer:
Answer:
The two ratios given: 25/15 and 65/56 do not form a proportion.
Step-by-step explanation:
A proportion is formed when two ratios (or fractions) are equal. When you set the two ratios equal to each other:
You can then determine if they are equal by a few different methods. (1) You can cross-multiply the numbers and see if they are equal:
25 x 56 = 16 x 65 or 1040 ≠ 1400
You can also see if the numerators and denominators can be divided to form a common factor:
65 ÷ 25 = 2.6 and 56 ÷ 16 = 3.5
Since neither the products of cross-multiplication or the factors by division are equal, these two ratios do not form a proportion.
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Δ = 25 - 16
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x = - b </span>± √Δ / 2.a
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a = 4; b = - 5, c = 1
</span>Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9
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x = - b </span>± √Δ / 2.a
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