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Andrei [34K]
3 years ago
11

How to solve this problem (x^n+y^n) divisible by (x+y)

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Use \\\\a^n + b^n = (a+b)(a^{n-1}b^0 - a^{n-2}b^1 + a^{n-3}b^2 - ... - a^1b^{n-2} + a^0b^{n-1}) \\--------------------------------\\\\\dfrac{x^n+y^n}{x+y}=\dfrac{(x+y)(x^{n-1}y^0-x^{n-2}y^1+x^{n-3}y^2-...-x^1y^{n-2}+x^0y^{n-1})}{x+y}\\\\=\boxed{x^{n-1}-x^{n-2}y+x^{n-3}y^2-...-xy^{n-2}+y^{n-1}}

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What is the slope of a line with endpoints (-11,5) and (5,-7)
krok68 [10]

Answer:

-6/8

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where (X1,y1) is (-11,5) and (X2,y2) is(5,-7)

Slope=5+7/-11-5

=-12/16

= -6/8

So the slope is -6/8

3 0
3 years ago
Read 2 more answers
A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able to sell 100−x backpacks each
zvonat [6]

Answer:

x = 50

R = $2500

Step-by-step explanation:

Given in the question a quadratic equation,

−x² + 100x

To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x

The value of -b/2a tells you the value x of the vertex of the function

−x² + 100x

here a = -1

        b = 100

Selling price = -(100)/2(-1)

                    =   50

 

R = −(50)² + 100(50)

  = 2500

8 0
4 years ago
The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

=3

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0
3 years ago
50 POINTS! Name a pair of whole numbers that have a geometric mean of 4.
scZoUnD [109]

Answer:

0, 16

1, 15

2, 14

3, 13

4, 12

5, 11

6, 10

7, 9

8, 8

Step-by-step explanation:

Any two numbers that have the product of positive 16 have a geometric mean of 4.

4 0
3 years ago
At her last party, Miracle decorated with window stickers. For this party, she wants to use 4 times as many stickers. Write an e
mixas84 [53]

Answer:

s x 4 or 4s

s being the variable

6 0
3 years ago
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