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Pepsi [2]
2 years ago
7

If the line segment joining the points A(4, − 5) and B(4, 5) is divided by the point P such that AP/PB = 2/5. find the co-ordina

tes of P.​
Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

Answer:

Step-by-step explanation:

0P=OA+AP

    =OA+2/5(AB)
    =(4,-5)+2/5(0,10)

    =(4,-5)+(0,4)

    =(4,-1)

therefore P(4,-1)

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Which is equal to P-R?
lorasvet [3.4K]
<h3>Answer: Choice B</h3>

With matrix subtraction, you simply subtract the corresponding values.

I like to think of it as if you had 2 buses. Each bus is a rectangle array of seats. Each seat would be a box where there's a number inside. Each seat is also labeled in a way so you can find it very quickly (eg: "seat C1" for row C, 1st seat on the very left). The rule is that you can only subtract values that are in the same seat between the two buses.

So in this case, we subtract the first upper left corner values 14 and 15 to get 14-15 = -1. The only answer that has this is choice B. So we can stop here if needed.

If we kept going then the other values would be...

row1,column2: P-R = -33-16 = -49

row1,column3: P-R = 28-(-24) = 52

row2,column1: P-R = 42-25 = 17

row2,column2: P-R = 35-(-30) = 65

row2,column3: P-R = -19-36 = -55

The values in bold correspond to the proper values shown in choice B.

As you can probably guess by now, matrix addition and subtraction is only possible if the two matrices are the same size (same number of rows, same number of columns). The matrices don't have to be square.

7 0
3 years ago
Given tan θ = 3/4 for acute angle θ, find the value of a and b for the statement cos θ = a/b.
Furkat [3]

Step-by-step explanation:

\tan \theta =  \frac{3}{4}  \\  \\ \sec \theta =  \sqrt{1 +  { \tan }^{2} \theta}  \\  \hspace{22 pt} =  \sqrt{1 +  {( \frac{3}{4}  )}^{2} }  \\  \hspace{22 pt} =  \sqrt{1 +  {\frac{9}{16}  }}  \\ \hspace{22 pt} =  \sqrt{ {\frac{16 + 9}{16}  }}  \\  \hspace{22 pt} =  \sqrt{ {\frac{25}{16}  }}  \\ \red{  \boxed{\bold{ \therefore  \sec \theta  =  { {\frac{5}{4}  }} }}} \\  \\ \cos \theta  = \frac{1}{\sec \theta  }  =  \frac{4}{5}  =  \frac{a}{b}  \\   \\ \implies \: a = 4 \: and \: b = 5

6 0
4 years ago
Explain how you would find 45x7/9 mentally
fredd [130]
First you add a one under the 45 than multiply the two numerators together than you should get 315 then multiply the two bottoms numbers now your answer should be 315/9 after that you divide 315 and 9 And than make that a mixed fraction and simply if needed

4 0
3 years ago
A tortoise takes 1 1/4​ hours to walk 5/6 miles. At this rate, how long does it take her to walk 1 mile?
Illusion [34]

Answer:

I think it is 3/2

Step-by-step explanation:

1 1/4 ÷ 5/6

5/4 × 6/5 = 30/20= 3/2

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2 years ago
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