All categories

3 years ago

(a + b)2 = 1a2 + 2ab + 1b2

Mathematics

1 answer:

miss Akunina [59]3 years ago

8 0

The Pascal triangle terms and binomial are related by the binomial theorem fomrula:

The row of the Pascal triangle is the same as

where n is the same as the row of the Pascal triangle.

For example,

is the same as the 2nd row of the Pascal triangle.

Also know the leading coefficient and last term degree will be the nth row of the Pascal triangle.

The first term, a will be 1 less than the previous terms and the second term, b will be 1 more than the previous terms. For example, look at

Another example is

The third row of Pascal Triangle

You might be interested in

If mikes salary is $62,500 this year and next year he will get 5.5% increase in salary. How much is his new salary.

rusak2 [61]

Answer:

65,937.5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Consider the relation y = −8|x + 3| − 9. what are the coordinates of the vertex? (−3, 9) (−3, −9) (3, −9) (3, 9)

german

By simple substitution on the left side and on the right side of the given equation, we have to
For coordinates (-3,-9)
-9=−8|-3+3|−9
-9=−8|0|−9
 -9=−9
Therefore, it is demonstrated that the coordinates of the vertex is
(-3,-9)

7 0

4 years ago

Solve for d d + 8 < 35

9966 [12]

Answer:

d < 27

Step-by-step explanation:

Solve for d by subtracting 8 from both sides. This isolates d:

d + 8 < 35

-8 -8

------- -------

d < 27

5 0

3 years ago

(04.03 MC)

Vlad1618 [11]

Answer:

x = -2 and y = 3

{y = -3 x - 3, y = (3 x)/4 + 9/2} = x = -2 and y = 3

Step-by-step explanation:

Solve the following system:

{6 x + 2 y = -6

3 x - 4 y = -18

Express the system in matrix form:

(6 | 2

3 | -4)(x

y) = (-6

-18)

Solve the system with Cramer's rule:

x = -6 | 2

-18 | -4/6 | 2

3 | -4 and y = 6 | -6

3 | -18/6 | 2

3 | -4

Evaluate the determinant 6 | 2

3 | -4 = -30:

x = -6 | 2

-18 | -4/(-30) and y = 6 | -6

3 | -18/(-30)

Simplify -6 | 2

-18 | -4/(-30):

x = -1/30 -6 | 2

-18 | -4 and y = 6 | -6

3 | -18/(-30)

Simplify 6 | -6

3 | -18/(-30):

x = -(-6 | 2

-18 | -4)/30 and y = -1/30 6 | -6

3 | -18

Evaluate the determinant -6 | 2

-18 | -4 = 60:

x = (-1)/30×60 and y = -(6 | -6

3 | -18)/30

(-1)/30×60 = -2:

x = -2 and y = -(6 | -6

3 | -18)/30

Evaluate the determinant 6 | -6

3 | -18 = -90:

x = -2 and y = (-1)/30×-90

(-1)/30 (-90) = 3:

Answer: x = -2 and y = 3

___________________________________________

Solve the following system:

{y = -3 x - 3

y = (3 x)/4 + 9/2

Express the system in standard form:

{3 x + y = -3

-(3 x)/4 + y = 9/2

Express the system in matrix form:

(3 | 1

-3/4 | 1)(x

y) = (-3

9/2)

Write the system in augmented matrix form and use Gaussian elimination:

(3 | 1 | -3

-3/4 | 1 | 9/2)

Add 1/4 × (row 1) to row 2:

(3 | 1 | -3

0 | 5/4 | 15/4)

Multiply row 2 by 4/5:

(3 | 1 | -3

0 | 1 | 3)

Subtract row 2 from row 1:

(3 | 0 | -6

0 | 1 | 3)

Divide row 1 by 3:

(1 | 0 | -2

0 | 1 | 3)

Collect results:

Answer: {x = -2 , y = 3

5 0

3 years ago

Need help with this asap!

My name is Ann [436]

Answer:

Step-by-step explanation:

1 ) 2 + 7t [ there are no like terms , so no further simplifying ]

2) 6r + ( - 16 r )

= 6 r - 16 r [ both are like terms ]

= - 10 r

3) (3x + 2 ) + ( 2x - 4 )

= 3x + 2 + 2x - 4

= 3x + 2x - 4 + 2 [ arranging like terms together ]

= 5x - 2

4) (8 n² - 3 n + 6 ) + ( n - 2 )

= 8n² - 3n + 6 + n - 2

= 8n² - 3n + n + 6 - 2 [ bringing like terms together ]

= 8n² - 2n + 4

6 0

3 years ago

Read 2 more answers