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pickupchik [31]

2 years ago

7

Which expression is equivalent to (7x+9y)2

1 answer:

Arada [10]2 years ago

6 0

Answer:

$49x^2+126xy+81y^2$

Step-by-step explanation:

Use the square of a binomial theorem

$(a+b)^2$ = $a^2+2ab+b^2$

Now expand the given equation:

$(7x+9y)^2=49x^2+126xy+81y^2$

Hope this helps :)

Have a great day!

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Given z1 = startroot 2 endroot (cosine (startfraction 3 pi over 4 endfraction) i sine (startfraction 3 pi over 4 endfraction) )

vampirchik [111]

The subtraction of complex numbers $z_{1} -z_{2}$ is cos(π)+i sin(π).

Given $z_{1} =\sqrt{2}$ [cos(3π/4+i sin(3π/4) and $z_{2}$ =cos (π/2) +i sin(π/2)

We have to find the value of $z_{1} -z_{2}$ .

A complex number is a number that includes real number as well as a imaginary unit in which $i^{2} =1$ . It looks like a+ bi.

We have to first solve $z_{1} and z_{2}$ and then we will be able to find the difference.

$z_{1} =$ $\sqrt{2}$ [ cos (3π/4)+i sin (3π/4)]

$=\sqrt{2}$ [cos(π-π/4)+ i sin (π-π/4)]

= $\sqrt{2}$ [-cos(π/4)+sin (π/4)]

= $\sqrt{2}$ (-1/ $\sqrt{2}$ +1/ $\sqrt{2}$ )

= $\sqrt{2} *0$

=0

$z_{2} =$ cos(π/2)+i sin (π/2)

=0+i*1

=1

Now putting the values of $z_{1} and z_{2}$ ,

$z_{1} -z_{2} =0-1$

=-1

=-1+i*0

=cos (π)+i sin(π)

Hence the value of difference between $z_{1} and z_{2}$ is cos(π)+i sin(π).

Learn more about complex numbers at brainly.com/question/10662770

#SPJ4

3 0

1 year ago

Randy and Michelle asked their mother to make pies for the school bake sale. She said that if they could pick enough apples, she

Delicious77 [7]

36 apples, you need to multiply 9 and 4 since there are 9 pies and 4 apples in each pie

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2 years ago

The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?

chubhunter [2.5K]

Answer:

B.)The new pyramid has a volume that is One-half the volume of the original pyramid.

Step-by-step explanation:

got it right on test.

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2 years ago

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zhuklara [117]

I think its A. There is a peak in the orders from 6 to 10 pounds

7 0

2 years ago

Which is equal to 8^-10/8^5 ?

makkiz [27]

$8^{-10}$ can be converted into $\frac{1}{ 8^{10} }$ , and applying this to $8^{-5}$ can see that

$\frac{ \frac{1}{ 8^{10} } }{ \frac{1}{ 8^{5} } }$

This gives us

$\frac{ 8^{5} }{ 8^{10} } = \frac{1}{ 8^{5} } = 8^{-5}$

8 0

2 years ago