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Lostsunrise [7]
3 years ago
6

Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y

Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

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Pls help!!!!!!!! Will give brainliest!!!!!!!!!!!
prohojiy [21]
Okay so lets look at the equation given
a ^{2} + {b}^{2} = {c}^{2}
this is the Pythagorean theorem, this equation holds true to all right angle triangles.

for the "a" and "b" terms must be the two shortest lengths and "c" must be the longest length.
why? because "c" represents the hypotenuse in this theorem and the hypotenuse is by definition the longest side of a right triangle.

(side note: always draw a picture, it helps a lot if you doodle a bit to get an idea of what you are working with)

we are given three lengths : 3 , 4, and 5 (im ignoring the measurements for now)

we can look at it two ways with a picture and through algebra

try to draw a right triangle with the given info. you'll see there are only two cases were this is possible the picture above is one case where this is not possible

now we can look at this algebraically
a = 3 \\ b = 4 \\ c = 5
(but "a" and "b" can swap lengths)

now with the Pythagorean theorem we can see how this plays out
{a}^{2} + {b}^{2} = {c}^{2} \\ {3 }^{2} + {4}^{2} = {5 }^{2} \\ 9 + 16 = 25 \\ 25 = 25
and heres with "a" and "b" lengths swapped
{4}^{2} + {3}^{2} = {5}^{2} \\ 16 + 9 = 25 \\ 25 = 25
now here's a case when we let 5 , our longest length , become a leg and let one our shorter lengths take the place of "c"

a = 5 \\ b = 3 \\ c = 4 \\ {5}^{2} + {3}^{2} = {4}^{2} \\ 25 + 9 = 16 \\ 34 = 16 \:
obviously 34 does not equal 16

hope this helped you out

4 0
3 years ago
Solve each inequality then graph the solution
Artist 52 [7]

Answer:

a is x>3

b is _> x/4 +12

c is x>-3

Step-by-step explanation: hope this helps

4 0
3 years ago
PLEASE HELP MEEEEEEEE AND THANKS
VashaNatasha [74]

Answer:

See below

Step-by-step explanation:

Use 5 for "x" or "a number" and see if the inequality is true.

a) =3 < 5+11 < 2 . . . . false. 16 is not less than 2

b) 7·5 ≥ 35 or 4·5 < -12 . . . . true. 35 = 35

c) -7 + 2·5  = 3 is at most 2 . . . . false. 3 > 2

d) 5·5 +3 = 28 is between 2 and 30 . . . . true.

3 0
3 years ago
If 6=2x+4y, what is the value of x+2y?
Tamiku [17]

Answer:

3

Step-by-step explanation:

Take 2 as a common then divide by 2

6÷2 =3

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3 years ago
Find the value of x<br> 12<br> 36<br> 18<br> 24<br> 27<br> 36<br> 0 11<br> 9<br> 0 10<br> 012
vazorg [7]

Answer:

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Step-by-step explanation:

I think if I am wrong I am sorry

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