(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

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Please help on this one ?

IrinaK [193]

C. y= [25,100]
you need brackets because the points actually touch the number

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3 years ago

Explain how knowing that 5divided by eight equals 0.625 help you write the decimal for 4 and five eights

Black_prince [1.1K]

4 and five eights is equal to 4 + 5/8.
You know that the decimal representation of 5/8 is 0.625, so the decimal representations of 4 and five eights will be 4.625.

7 0

3 years ago

If C is the line segment from 7 3 to 0 0 find the value of the line integral C 4y2i xj dr

saul85 [17]

Parameterize $C$ by

$\mathbf r(t)=(x(t),y(t))=(1-t)(7,3)+t(0,0)=(7-7t,3-3t)$

where $0\le t\le1$ . Then

$\mathrm d\mathbf r=(-7\,\mathbf i-3\,\mathbf j)\,\mathrm dt$

and the line integral is equivalent to

$\displaystyle\int_C(4y^2\,\mathbf i+x\,\mathbf j)\cdot\mathrm d\mathbf r=\int_0^1(4(3-3t)^2\,\mathbf i+(7-7t)\,\mathbf j)\cdot(-7\,\mathbf i-3\,\mathbf j)\,\mathrm dt$
$\displaystyle=\int_0^1(-252t^2+525t-273)\,\mathrm dt=-\dfrac{189}2$

7 0

3 years ago

Bryan needs to build a fence around his rectangular vegetable garden. The length will be 2 feet longer than the width. If he use

GalinKa [24]

In order to do this, one side of the rectangle will be x+2, and the other will just be x. The x would be representing the width since the length is the width (x) plus two feet (+2). Next, you have to make an equation. So, since it all has to use 16 feet of fencing, you would set the two sides to be added to equal 16. So, it would be: 16=x+2+x. Then, you reduce that, so it would be: 16=2x+2. After that you just solve for x (which means that you want x by itself on one side of the = ). So, you would subtract 2 from both sides. Since 2-2=0, that would make the "+2" go away; since 16-2=14, that would replace the 16. So, your new equation is: 14=2x. After that you just divide both sides by 2 because 2 divided by 2=0. 14/2=7. So, you would end up getting: 7=x as your final answer.

Now, you just put 7 where x was in the sides. So 2x (which was the length) trims into: 2 times 7, which =14 and the x (which was the width) we already figured out was 7. This, the width would be 7, while the length would be 14.

5 0

3 years ago

Solve the following system of equations graphically on the set of axes below.<br> y=x+8<br> y=−2x−1

love history [14]

This makes sense because every point on the gold line is a solution to the equation
y
=
1
2
x
+
3
y=
2
1

x+3start color #e07d10, y, equals, start fraction, 1, divided by, 2, end fraction, x, plus, 3, end color #e07d10, and every point on the green line is a solution to
y
=
x
+
1
y=x+1start color #0d923f, y, equals, x, plus, 1, end color. So, the only point that's a solution to both equations is the point of intersection

6 0

3 years ago