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USPshnik [31]
4 years ago
14

(x + y )(x 2 - xy + y 2 )

Mathematics
1 answer:
mylen [45]4 years ago
8 0

Answer:

x^3+y^3

Step-by-step explanation:

(x+y)(x^2-xy+y^2)= \\\\x(x^2)+x(-xy)+x(y^2)+y(x^2)+y(-xy)+y(y^2)= \\\\x^3-x^2y+xy^2+x^2y-xy^2+y^3= \\\\\boxed{x^3+y^3}

Hope this helps!

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Are the two triangles below similar?
Hunter-Best [27]

Answer:- B) No; they do not have congruent corresponding angles.

Explanation:-

In ΔGHI ,

∠G=46° and  ∠I=27°

By angle sum property,

∠G+∠H+∠I=180°

⇒∠I=180°-∠G-∠H

⇒∠I=180°-46°-27°= 107°

In Δ JKL

∠K=108°and ∠L=27°

By angle sum property of triangles,

∠J+∠K+∠L=180°

⇒∠J=180°-∠L-∠K

⇒∠J=180°-27°-108°

⇒∠J=45°

Now we can see that there is only one pair of congruent angles [not two] in both the triangles i.e.∠I≅∠L.

⇒ They do not follow AA similarity criteria.

Thus ,the given triangles are not similar because they do not have congruent corresponding angles.


4 0
3 years ago
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I need an equation from this question so I can graph and solve by substitution and elimination. The question the following,
hram777 [196]
16x+3y=251 and 8x+4y=148 then you set them up to each other and cancel one coefficient through elimination or find out what X or Y equals and substitute into either equation
6 0
3 years ago
What is the midpoint of the segment shown below (-4 6) (4 -2)
anygoal [31]
The midpoint is (0,2)

Hope this helps! (:
8 0
3 years ago
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Theo correctly answered 40 out of 50 questions on his spelling quiz. What percent of the questions did theo answer correctly? Ex
Ugo [173]

Theo got an 80% on the quiz because you multiply to get a equivalent fraction since a hundred is a whole of a percent. So basically, the percent is 80% and the  decimal is 0.80.

Hope it helps!


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3 years ago
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A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour.
WITCHER [35]

Answer:

4 Hours

Step-by-step explanation:

we will set up two linear equations first by taking the initial height if each candle and subtracting the rate they burn at times our input variable of time (x) equal to height (y)

So, 8-7/10x=y and 6-1/5x=y

then, because both equations equal y you can set them equal to each other so

8-7/10x=6-1/5x

Finally, solve for x

8-7/10x=6-1/5x

subtract 6 from both sides

2-7/10x=-1/5x

add 7/10 x to both sides (1/5x=2/10x)

2=5/10x

simplify

2=1/2x

x=4

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3 years ago
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