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melisa1 [442]
3 years ago
13

(4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y) i need help solving

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

\huge \boxed{11x^2 y^3-4xy^2 }

Step-by-step explanation:

(4x^2y^3  + 2xy^2  - 2y) - (-7x^2 y^3  + 6xy^2  -2y)

Distribute the negative sign to the terms in the bracket.

(4x^2y^3  + 2xy^2  - 2y) +7x^2 y^3  - 6xy^2  +2y

Grouping like terms.

(4x^2y^3 +7x^2 y^3) + (2xy^2 - 6xy^2 ) +( - 2y   +2y)

Combining like terms.

(11x^2 y^3) + (-4xy^2 ) +(0)

11x^2 y^3-4xy^2

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Step-by-step explanation:

The missing length is 13 because,

Lets say the top triangle is A and the bottom triangle is B.

Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.

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Step-by-step explanation:

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