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1 year ago

PLEASE ANSWER

Mathematics

1 answer:

statuscvo [17]1 year ago

8 0

Answer: B) 2

Detailed Answer:

The degree of a polynomial is the highest power in the polynomial. Here the highest power is 2 hence the degree is 2. Polynomials with the degree 2 are also called quadratic polynomials.

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Find the tenth term of the expansion (x+ y)¹³

Anon25 [30]

Answer:

$715x^4y^9$

Step-by-step explanation:

Given

$(x + y)^{13$

Required

Determine the 10th term

Using binomial expansion, we have:

$(a + b)^n = ^nC_0a^nb^0 + ^nC_1a^{n-1}b^1 + ^nC_2a^{n-2}b^2 +.....+^nC_na^{0}b^n$

For, the 10th term. n = 9

So, we have:

$(a + b)^n = ^nC_{9}a^{n-9}b^{9$

$(x + y)^{13} = ^{13}C_{9}x^{13-9}y^9$

$(x + y)^{13} = ^{13}C_{9}x^4y^9$

Apply combination formula

$(x + y)^{13} = \frac{13!}{(13-9)!9!}x^4y^9$

$(x + y)^{13} = \frac{13!}{4!9!}x^4y^9$

$(x + y)^{13} = \frac{13*12*11*10*9!}{4!9!}x^4y^9$

$(x + y)^{13} = \frac{13*12*11*10}{4!}x^4y^9$

$(x + y)^{13} = \frac{13*12*11*10}{4*3*2*1}x^4y^9$

$(x + y)^{13} = \frac{17160}{24}x^4y^9$

$(x + y)^{13} = 715x^4y^9$

Hence, the 10th term is $715x^4y^9$

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2 years ago

Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form.

Anika [276]

General form of any equation is of the form AX+BY+C=0

Here A,B,C are three real numbers

THe given equation is

2x +4y+2=3y+5

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2x+4y+2-3y-5=0

Simplifying like terms

2x+y-3=0

Option B is the right answer

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2 years ago

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Answer:

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Step-by-step explanation:

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