Answer:
k=−0.8
Step-by-step explanation:
Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)
Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)
(0.2)(3k) + (0.2)(1) = 0.6k + 0.2
(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k
New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k
Now we can combine like terms on the right side. (-0.4 and 0.2)
0.6k + 0.2 = 0.1k - 0.2
Now to get rid of k on one side, we can subtract 0.1k from the right side.
(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2
0.5k + 0.2 = -0.2
Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.
0.5k + (0.2 - 0.2) = (-0.2 - 0.2)
0.5k = -0.4
To get k by itself, we must divide both sides by 0.5.
(0.5k / 0.5) = (-0.4 / 0.5)
k = -0.8
Answer:
y=-6
Step-by-step explanation:
3y+7=-11
3y=-11-7
3y=-18
y=-18/3
y=-6
Answer:
Step-by-step explanation:
x² - 12x + a = (x + b)²
x² - 12x + a = x² + 2xb + b²
-12 = 2b and a = b²
b = -6
a = b² = 36
Answer: * = 36x^2
Note: Im guessing you're here for rsm struggles. That's how I found this question. I searched the web for the answer to this rsm problem, but I couldnt find it. I was happy to find this brainly link, but annoyed to find it was unanswered. I did the problem, and now i'll help future rsm strugglers out. Thanks for posting this question.
Step-by-step explanation:
Ok, so we know that trinomials like this are squares of binomials. this in mind, we know that it can also be written as (x+y)^2. (also brainly's exponents feature used to be better, if the exponents are confusing you, comment.) Using the (x+y)^2 equation, you know that by simplifying it, you get x^2+2xy+y^2. Basically we're looking for x^2. Using the middle term, 2xy, or 12x in this equation, we can find x. since we know the square root of 1 is 1, we know 12=2x. This is kinda confusing, but basically since the answer is 6, we know that the x-term is 6x. We square 6x and get 36x^2. guaranteed to work on the rsm student portal, i'm in rsm and i just answered this question.
Hope this helps! Also, im not usually too active on brainly unless im looking for HW answers, so if you understand this explanation and you see a confused comment, help out a friend and answer it. Happy holidays!
