Answer:
<h2><em>
K = 2 respectively</em></h2>
Step-by-step explanation:
Since "K" is on the right side of the equation, switch the sides so it is on the left side of the equation. Simplify 5(-3k+5). Move all terms containing "K" to the left side of the equation. Move all terms not containing "K" to the right side of the equation. Divide each term by 12 and simplify. So, "K" = 2.
x² + 9x + 1
let's start by grouping the ones with the same variable
(x² + 9x) + 1
(x² + 9x + [?]²) + 1
so, we seem to be missing a value there, to get a perfect square trinomial, let's recall a perfect square trinomial has a middle term that is 2 * "other two values", namely

so, the middle term on this group will be 9x.
we know 2*x*[?] = 9x, so then

so that's our mystery felllow.
now, let's bear in mind that we'll be borrowing from our very good friend Mr Zero, 0, so if we add (9/2)², we also have to subtract (9/2)².
![\bf \left[x^2+9x+\left( \cfrac{9}{2} \right)^2 - \left( \cfrac{9}{2} \right)^2 \right]+1\implies \left[x^2+9x+\left( \cfrac{9}{2} \right)^2 \right]+1- \left( \cfrac{9}{2} \right)^2 \\\\\\ \left( x+\cfrac{9}{2} \right)^2+1-\cfrac{81}{4}\implies \left( x+\cfrac{9}{2} \right)^2-\cfrac{77}{4}](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft%5Bx%5E2%2B9x%2B%5Cleft%28%20%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%20-%20%5Cleft%28%20%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%20%5Cright%5D%2B1%5Cimplies%20%5Cleft%5Bx%5E2%2B9x%2B%5Cleft%28%20%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%20%5Cright%5D%2B1-%20%5Cleft%28%20%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%20%5C%5C%5C%5C%5C%5C%20%5Cleft%28%20x%2B%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%2B1-%5Ccfrac%7B81%7D%7B4%7D%5Cimplies%20%5Cleft%28%20x%2B%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2-%5Ccfrac%7B77%7D%7B4%7D)
Answer:
we need more info but 11 q and 1 dime or 12 q and 0 dime
Step-by-step explanation:
Sorry need more info