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3 years ago

What is the image of the point(2,-5) after a rotation of 90 degree counterclockwise about the origin

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

Answer:

(-2,5)

Step-by-step explanation:

When a point is rotated counterclockwise 90 degrees about the origin then the coordinates of the image will be (x,y) → (-y,x).

Here, (5,2)→(-2,5)

Therefore , if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

Hence, if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

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A tap can fill a bucket in 6 hours. After half the bucket is filled, three more similar taps are opened. What is the total time

777dan777 [17]

The total time taken to fill the bucket completely is 3 hours 45 minutes

The time taken to fill the bucket by one tap= 6 hours

Then the time take by one tap to fill half of the bucket= 3 hours

Part filled by one tap in one hour = $\frac{1}{6}$

Part filled by four taps in one hour = $4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}$

Given, that after half the bucket is filled, three more similar taps are opened

Then the remaining part = $1-\frac{1}{2}=\frac{1}{2}$

Time taken to fill the half of the bucket= $(\frac{1}{2} )(\frac{2}{3})=\frac{3}{4}$ hours

Convert the hours to minutes

$(\frac{3}{4})60=45$ minutes

Therefore,

Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+ Time taken by 4 taps to fill the half of the bucket

=3 hours+ 45 minutes

=3 hours 45 minutes

Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes

Learn more about time here

brainly.com/question/28050940

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2 years ago

The first house on the street has a lawn that is 300 feet long. The second house

Ivanshal [37]

Answer: 450

Step-by-step explanation:

first house--300

second house--50

third house--50 x2=100

300+50+100=450

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3 years ago

(-2,0) And (a,3) <br> Slope 3 Over 8

choli [55]

Answer:

What is the Q.?

Step-by-step explanation:

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3 years ago

What is b in 5b+4=24?

Fittoniya [83]

Answer:

b = 4

Step-by-step explanation:

5b + 4 = 24

5b = 20

b = 4

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3 years ago

Read 2 more answers

The recursive rule for a sequence is an=an-1+7, where a1=15.What is the explict rule for this sequence

posledela

well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that

we start of at 15, and the next term is obtained by simply adding 7, and so on.

well, that's the recursive rule.

so then let's use that common difference and first term for the explicit rule.

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=15\\ d=7 \end{cases} \\\\\\ a_n=15+(n-1)7\implies a_n=15+7n-7\implies a_n=7n+8$

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3 years ago