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Question #1aa66 + Example - Socratic The sentence "Van has come " is grammatically correct IF the noun "Van" is the name of a person A proper noun is not usually preceded by an article If the noun "van' is a common noun, a word for a type of vehicle, the noun should be preceded by the article "the" when the "van" is one that is expected, or preceded by the article "a" when the "van" is not one that is expected; for example
Question #9f38f - Socratic L=1 01m Parameters L = ? g = 10ms^-2 pi = 22 7 T = 2sec From S H M T = 2pisqrt (L g) Making L the subject of formula T = 2pisqrt (L g) Divide both sides by color
Question #0e55c - Socratic Find the real roots of 256 2401 then consider the imaginary values that correspond to each of the real roots First we consider only the two real roots, which we can find but taking the 4th root of 256 2401: root (4) (256 2401)=+-4 7 Now consider that i^4=1, where i is the imaginary unit sqrt (-1): We can apply an i to each of the real answers to get: +-4 7i without changing the answer when we
Question #6d4d4 - Socratic 3+i" or " -3-i "let " sqrt(8+6i)=a+bilarr" square both sides" rArr8+6i=(a+bi)^2=a^2-b^2+2abi "equating the coefficients of real imaginary parts" a^2-b^2=8to(1) 2ab=6rArrb=3 ato(2) "substitute " b=3 a" in " (1) rArra^2-9 a^2=8 "multiply through by "a^2 rArra^4-9=8a^2 rArra^4-8a^2-9=0 rArr(a^2-9)(a^2+1)=0 a^2+1rArra^2=-1" has no real solutions" a^2-9rArra^2=9rArra=+-3 "substituting in " (2
How do you solve #-10z ^ { 2} = 11z - 6#? - Socratic (2 5) and (-3 2) f(z) = 10z^2 + 11z - 6 = 0 Solve it by the new transforming method (Socratic Search) Method First, find 2 real roots of the transformed equation f'(z) = z^2 + 11z - 60 = 0 Next divide them by a to get the 2 real root of the original equation Compose factor pairs of (ac = - 60) --> (2, -30)(4, -15) This sum is (-11) Therefore, the 2 real roots of f'(z) are: 4 and - 15
Why does South Sudan want to be independent from the . . . - Socratic People from South Sudan are often from various African Racial Religious groups (christian mostly, using languages from Chad) as opposed to a Arab Racial Religious group in the Republic of Sudan North Sudanese and South Sudanese have been divided by racial Religious lines for some time The long conflict induced South Sudan to become independent in 2011, after a referendum South Sudan
Question #81a9b - Socratic "Undefined" hence this is an inconsistent equation (x + 3) - (x - 3) = 1 (x + 3 - x + 3) = 1 (x - x + 3 + 3) = 1 0 + 6 = 1 rArr "Undefined" The equations having no solution are called inconsistent equations Hence,this is an "inconsistent equation"
Question #34056 - Socratic sqrt3" sq units " By the Cosine Rule, cosA=(b^2+c^2-a^2) (2bc), and, cosB=(a^2+c^2_b^2) (2ac) : cosA a=cosB b" [Given]," rArr (b^2+c^2-a^2) cancel(2abc)=(a
Question #f4ea2 + Example - Socratic Friction and other factors will always prevent this To be 100% efficient, all input energy would need to be converted in to useful output energy In any real engine, there will always be friction (since there will always be moving parts) so the engine can never be 100% efficient as energy will be used to overcome the friction (work will be done) Other energy losses may also occur (e g Heat