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Sia ? 5 years, 4 months ago
We need to prove that Euclid’s fifth axiom is considered as a universal truth.
Euclid’s fifth axiom states that “the whole is greater than the part.”
The above given axiom is a universal truth. We can apply the fifth axiom not only mathematically but also universally in daily life.
Mathematical proof:
Let us consider a quantity z, which has different parts as a, b, x and y. .
Therefore, we can conclude that z will always be greater than its corresponding parts a, b, x and y.
Universal proof:
We know that Mumbai is located in Maharashtra and Maharashtra is located in India.
In other words, we can conclude that Mumbai is a part of Maharashtra and Maharashtra is a part of India.
Therefore, we can conclude that whole India will be greater than Mumbai or Maharashtra or both.
Therefore, we can conclude that Euclid’s fifth axiom is considered as a ‘Universal truth’.
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Sia ? 5 years, 4 months ago
39y3 (50y2 – 98) ÷ 26y2(5y + 7)
{tex} = \frac{{39{y^3}(50{y^2} - 98)}}{{26{y^2}(5y + 7)}}{/tex}
{tex} = \frac{{39{y^3} \times 2 \times (25{y^2} - 49)}}{{26{y^2}(5y + 7)}}{/tex}
{tex} = \frac{{39{y^3} \times 2 \times \{ {{(5y)}^2} - {{(7)}^2}\} }}{{26{y^2}(5y + 7)}}{/tex}
{tex} = \frac{{39{y^3} \times 2 \times (5y + 7)(5y - 7)}}{{26{y^2}(5y - 7)}}{/tex}. . . . [Using Identity III
= 3y (5y – 7)
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Yogita Ingle 5 years, 4 months ago
1] to construct it first draw a line of 1 unit AB
2] perpendicular to it draw a line of 1 unit BC
3] join AC and it will be root 2
4] then draw line perpendicular to AC as CD
5] join the AD continue this process upto root 13.
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Linear equation is an equation between two variables that gives a straight line when plotted on a graph.
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Avanish Dubey 5 years, 4 months ago
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