To find (4k^3 + 2k^2), you can simply express it as is since it’s already in a simplified polynomial form. This expression represents a cubic term (4k^3) and a quadratic term (2k^2). If you need further simplification or factoring, you can factor out (2k^2), resulting in (2k^2(2k + 1)).
(2k + 3) (2k + 3)
2k - 3l
-4k + 10 - k + 2 = 2k + 4k + 18Combine all the 'k' terms on the left side:-5k + 10 + 2 = 2k + 4k + 18Combine all the 'k' terms on the right side:-5k + 10 + 2 = 6k + 18Combine the numerical terms on the left side:-5k + 12 = 6k + 18Add 5k to each side:12 = 11k + 18Subtract 18 from each side:-6 = 11kDivide each side by 11:k = -6/11
The square of an odd number can be expressed in the form ( n = 2k + 1 ), where ( k ) is an integer. When you square this, ( n^2 = (2k + 1)^2 = 4k^2 + 4k + 1 = 2(2k^2 + 2k) + 1 ), which is still odd. Therefore, the product of two odd numbers, each squared, results in an even number. Specifically, ( (2k_1 + 1)^2 \times (2k_2 + 1)^2 ) produces an even result because it includes the multiplication of two odd results, yielding an even product.
Let even be of the form 2k and odd be of the form 2k+1. Then odd * even becomes 2k*2k+1, or 4k^2 +2k. This can be written as 2(k^2 + k), which is of the form 2k. Therefore, odd X even equals even.
(2k + 3) (2k + 3)
If by K2 you are not referring to the mountain, the distributive property of multiplication tells us K * 2 = 2 * K.Therefore: K2 + 2K + 4K = 2K + 2K + 4K = 8K
It can be simplified to: 9k
2k - 3l
-4k + 10 - k + 2 = 2k + 4k + 18Combine all the 'k' terms on the left side:-5k + 10 + 2 = 2k + 4k + 18Combine all the 'k' terms on the right side:-5k + 10 + 2 = 6k + 18Combine the numerical terms on the left side:-5k + 12 = 6k + 18Add 5k to each side:12 = 11k + 18Subtract 18 from each side:-6 = 11kDivide each side by 11:k = -6/11
4k + 24 = 6k - 10 subtract 4k from each side 4k - 4k + 24 = 6k - 4k - 10 24 = 2k - 10 add 10 to each side 10 + 24 = 2k - 10 + 10 34 = 2k divide each side integers by 2 17 = k ------------check 4(17) + 24 = 6(17) - 10 68 + 24 = 102 - 10 92 = 92 checks
1k/2k, 2k/4k, 3k/6k and so on.
Equation: x^2 +2kx +10x +k^2 +5 = 0 Using the discriminant: (2k +10)^2 -4*1*(k^2 +5) = 0 Multiplying out the brackets: 4k^2 +40K +100 -4k^2 -20 = 0 Collecting like terms: 40k +80 = 0 => 40k = -80 => k = -80/40 Therefore the value of k = -2
4k-91h
2k security cameras have a resolution of 2048 x 1080 pixels, while 4k security cameras have a resolution of 3840 x 2160 pixels. This means that 4k cameras offer higher image quality and sharper details compared to 2k cameras.
The square of an odd number can be expressed in the form ( n = 2k + 1 ), where ( k ) is an integer. When you square this, ( n^2 = (2k + 1)^2 = 4k^2 + 4k + 1 = 2(2k^2 + 2k) + 1 ), which is still odd. Therefore, the product of two odd numbers, each squared, results in an even number. Specifically, ( (2k_1 + 1)^2 \times (2k_2 + 1)^2 ) produces an even result because it includes the multiplication of two odd results, yielding an even product.
J = K+6 K + J = 4K Replace J in the second equation K + (K + 6) = 4K K + K + 6 = 4K 2K + 6 = 4K Subtract 2K from each side 6 = 2K divide both sides by 2 3 = K So, Keisha is 3 and therefore John is 9