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ArbitrLikvidat [17]
3 years ago
9

What is the result of rotating thepoint (x, y) 90 degrees clockwise?​

Mathematics
1 answer:
maxonik [38]3 years ago
3 0

Answer:

It would turn into (x, -y)

You might be interested in
Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

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

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
It takes 12 hours for a single hose to fill a large vat. When a second hose is added, the vat can be filled in 4 hours. How many
aksik [14]
<h3>Answer:</h3>

6 hours

<h3>Step-by-step explanation:</h3>

The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.

That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.

The second hose alone can fill the vat in 6 hours.

_____

The first hose's rate of doing work is ...

... (1 vat)/(12 hours) = (1/12) vat/hour

If h is the second hose's rate of doing work, then working together their rate is ...

... (1/12 vat/hour) + h = (1/4 vat/hour)

... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour

... h = 1/6 vat/hour

so will take 6 hours to fill 1 vat.

8 0
3 years ago
HELP!!!!!!!!!!! !!!!!!!!!!
Sonja [21]

Answer:

second one is 3, the last one is 4560

Step-by-step explanation:

5 0
2 years ago
Circumference: <br> Can anyone help me with this?
FinnZ [79.3K]

Answer:

use formula when diameter is given

circumference of circle =πd

and

when radius is given

circumference of circle=2πr

hope this help

  1. 6π inch
  2. 18πcm
  3. 15π ft
  4. 8π m
  5. 12π ft
  6. 4π yd
4 0
3 years ago
A woman walks due east on the deck of a ship at 4 mi/h. the ship is moving south at a speed of 24 mi/h. find the speed of the wo
grandymaker [24]

we are given

A woman walks due east on the deck of a ship at 4 mi/h.

the ship is moving south at a speed of 24 mi/h

so, firstly, we will draw diagram

so, we have

OW=4

OS=24

now, we can use Pythagoras theorem

SW^2=OS^2+OW^2

now, we can plug values

and we get

SW^2=24^2+4^2

SW=24.33

so,

the speed of the woman relative to the surface of the water is 24.33 mi/h .......Answer


6 0
3 years ago
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