Answer:
The value of your expression is 7/12x +1.
Step-by-step explanation:
1/4x + 3 - 1/3x + -2 First, positive and negative is negative
= 1/4x + 3 - 1/3x -2 Combine like terms, 1/4x and 1/3x
= 7/12x + 3 - 2 Combine like terms, +3 and -2
= 7/12x +1
Like terms are when a number have similar exponents bases, variables or just plain numbers.
3x, 4x, 5x
1.02x^2, 1.02x^3
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Appreciate it! : )
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And always,
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SIMPLIFY BANANAS : )</em></u></h3><h3><u><em>
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Check the picture below.
let's recall that in a Kite, the diagonals meet at 90° angles, therefore, we know the height of each of those 4 triangles, is 2.5 and 6, now, since the pair of triangles above are 45-45-90 triangles, we can use the 45-45-90 rule, as you see there, so, if the height is 2.5, then the base is also 2.5.
so, we really have 2 pair of triangles whose base is 2.5 and height of 2.5, and another pair of triangles whose base is 2.5 and height is 6, let's add their areas.
![\bf \stackrel{\textit{area of 2 triangles above}}{2\left[\cfrac{1}{2}(2.5)(2.5) \right]}~~+~~\stackrel{\textit{area of 2 triangles below}}{2\left[ \cfrac{1}{2}(2.5)(6) \right]}\implies 6.25+15\implies 21.25](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Barea%20of%202%20triangles%20above%7D%7D%7B2%5Cleft%5B%5Ccfrac%7B1%7D%7B2%7D%282.5%29%282.5%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Barea%20of%202%20triangles%20below%7D%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%282.5%29%286%29%20%5Cright%5D%7D%5Cimplies%206.25%2B15%5Cimplies%2021.25)
Answer: 4
Step-by-step explanation: Because he gained 8 pounds and lost 12 when he got home, the additive inverse would be 4. (additive inverse is the opposite.
Hope this helps :)