Well, isn't that just a happy little equation we have here! When you multiply 4k by k, you simply multiply the coefficients (4 and 1) to get 4, and then add the exponents of k, which gives you k^2. So, 4k x k equals 4k^2. Just remember, there are no mistakes in math, only happy accidents!
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To find the value of ( k ) for which ( 4K + 6 = 26 ) and ( 6k - 2 = 28 ), we can solve each equation. For ( 4K + 6 = 26 ): [ 4K = 20 ] [ K = 5 ] For ( 6k - 2 = 28 ): [ 6k = 30 ] [ k = 5 ] Both equations yield ( k = 5 ). Thus, when ( k = 5 ), both expressions have the same length.
Remember in basic Algebra we learned that all variables can be substituted as 1's If needed. So lets do that: -k - 4k = -1 - 4(1) = -5 So now we can rewrite this removing the 1's we put in: -k - 4k = -5k
Tangent line equation: y = x+k Circle equation: x^2 +y^2 = 25 If: y = x+k then y^2 = (x+k)^2 => y^2 = x^2 +2kx+k^2 So: x^2 +x^2 +2kx +k^2 = 25 Transposing terms and collecting like terms: 2x^2 +2kx +(k^2 -25) = 0 Using the discriminant: 4k^2 -4*2*(k^2 -25) = 0 Which is the same as: 4k^2 -8k^2 +200 = 0 Collecting like terms and subtracting 200 from both sides: -4k^2 = -200 Divide both sides by -4: k^2 = 50 Square root both sides: k = + or - the square root of 50 Therefore it follows that the possible values of k are plus or minus the square root of 50
k=-2
x =√k+√k+√k…… ectx² = k + xx² - x = kx² - x + (1/2)² = k + (1/2)² factorise x² - x + (1/2)²(x + 1/2)² = k + 1/4(x + 1/2)² = (4k + 1)/4x + 1/2 = ± √(4k + 1)/2x = 1/2 ± √(4k + 1)/2it obviously has to be positivex = 1/2 + √(4k + 1)/2x = (1 + √(4k + 1))/2
4k-7 = 7 4k = 14 k = 3.5 or k = 7/2
31 = 3-4k 31-3 = -4k 28 = -4k Divide both sides of the equation by -4 to find the value of k: k = -7
8-4k = 40 (4k-8) - 8 = 40-8 4k = 32 4k/4 = 32/4 k =8
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4k-64 = -60
wait is that algerbra? then what equaiton
q=4k+4uImproved Answer:-If: Q = 4k+4uThen: k = (4u-Q)/-4
-4k-2=10 -4k=10+2 -4k=12 k=-3
There are infinitely many of them.Take any positive integer k and let 0
To find the value of ( k ) for which ( 4K + 6 = 26 ) and ( 6k - 2 = 28 ), we can solve each equation. For ( 4K + 6 = 26 ): [ 4K = 20 ] [ K = 5 ] For ( 6k - 2 = 28 ): [ 6k = 30 ] [ k = 5 ] Both equations yield ( k = 5 ). Thus, when ( k = 5 ), both expressions have the same length.
Remember in basic Algebra we learned that all variables can be substituted as 1's If needed. So lets do that: -k - 4k = -1 - 4(1) = -5 So now we can rewrite this removing the 1's we put in: -k - 4k = -5k