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Alexandra [31]
3 years ago
13

Which of the following uses the distributive property correctly?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

3(×+5)=3 . x+5

Step-by-step explanation:

3(x+5)=3x+15

3 . x+5=3x+15

3 (x+5)=3 . x+5

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(x5 + y5) ÷ (x + y) please answer ASAP
Shkiper50 [21]

Answer:

\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4

Step-by-step explanation:

Given the expression

\left(x^5+y^5\right)\div \left(x+y\right)

\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}

x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)

=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}

Cancel the common factor: x+y

=x^4-x^3y+x^2y^2-xy^3+y^4

Thus,

\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4

3 0
3 years ago
Consider the parametric equations
MArishka [77]

Answer:(a)x^2+2y^2=2

(b)In the attached diagram

Step-by-step explanation:Step 1: Multiply both equations by t

xt=t(cost -sint)\\ty\sqrt{2} =t(cost +sint)

Step 1:  Multiply both equations by t

xt=t(cost -sint)\\ty\sqrt{2} =t(cost +sint)

Step 2:We square both equations

(xt)^2=t^2(cost -sint)^2\\(ty)^2(\sqrt{2})^2 =t^2(cost +sint)^2

Step 3: Adding the two equations

(xt)^2+(ty)^2(\sqrt{2})^2=t^2(cost -sint)^2+t^2(cost +sint)^2\\t^2(x^2+2y^2)=t^2((cost -sint)^2+(cost +sint)^2)\\x^2+2y^2=(cost -sint)^2+(cost +sint)^2\\(cost -sint)^2+(cost +sint)^2=2\\x^2+2y^2=2 hopes this helps

5 0
3 years ago
15= x over 6 - 1
Diano4ka-milaya [45]
15 + 1 = x/6
16 = x/6
16 * 6 = x
x = 96

Answer: A)
3 0
3 years ago
Read 2 more answers
At sea level, 0 ft elevation, the boiling point of water is 212degrees F, at an elevation of 6,500 ft the boiling point is only
Kobotan [32]
Hmmmm this is tricky
6 0
3 years ago
What are the three steps you should use when using algebra to solve word problems?
KonstantinChe [14]
Answer: understand , strategize and implement

Hoped it helped , if it didn’t I apologize
Good luck
3 0
3 years ago
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