According to the lincoln, in what areas of life is courage actually required? Try to give my son the strength not to follow the crowd when everyone else is doing it. Teach him to listen to every one, but teach him also to filters all that he hears on a screen of truth and take only the good that comes through. Lincoln seems to understand the need to withstand public pressure when one heeds the sounds of their conscience. Certainly, Lincolns own life represents this. There is a certain call to courage to both "listen to everyone" while "filter all that he hears on a screen of truth." There is courage needed in teaching such lessons. It would make sense that Lincoln would reach out to the teacher in teaching such lessons to his son, values that he himself would be striving to impart in the boy. The closing line of the letter reflects this. Lincoln closes it with a call to asking the teacher to do "the best you can do" because "he is my son."...
What is the common monomial factor of 5y²+10 Answer: 5 (y² + 2) Solution / Explanation : Hahanapin muna natin ang GCF of greatest common factor. Ang GCF ng 5 at 10 ay 5. So Ilalagay natin sya sa labas ng ating quantity. 5 Tapos maglalagay na tayo ng column. 5( ) 5y^2 divided by 5 is equal to y^2 5 (y^2 ) Tapos yung 10 is i-de-divide sa 5, equal to 2. 5 (y^2 + 2 ) P . S . yung gantong sym bol ^ is exponent . . . Goodluck !
Find the value of k and the next term k-2,5k+12,6-k will from an arithmetic sequence Answer: The value of k = -2. The next term is a₄= -7k or a₄ = 14. Step-by-step explanation: Given: First term, a₁ = k-2 Second term, a₂ = 5k + 12 Third term, a₃ = 6 - k Find the value of k using the formula for the common difference, d: a₂ - a₁ = a₃ - a₂ (5k + 12) - (k - 2) = (6 - k) - (5k + 12) 5k + 12 - k + 2 = 6 - k - 5k - 12 4k + 14 = - 6k - 6 (4k + 14 ⇒ common difference expression between a₂ and a₁) (-6k - 6 ⇒ common difference expression between a₃ and a₂) Combine the like terms: 4k + 14 = - 6k - 6 6k + 4k = -6 - 14 10k/10 = -20/10 k = -2 The value of k is -2. Substitute, k = -2: a₁ = k-2 a₁ = (-2)-2 a₁ = -4 a₂ = 5k + 12 a₂ = 5(-2) + 12 a₂ = -10 + 12 a₂ = 2 a₃ = 6 - k a₃ = 6 - (-2) a₃ = 6 + 2 a₃ = 8 The arithmetic sequence when k = -2: -4, 2, 8 The common difference , d= 6. To determine the common difference, d: a₂ - a₁ = a₃ - a₂ 2 - (-4) = 8 - 2 2+4 = 6 6 = 6 d = 6 Find the next t...
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