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2 years ago

How can you find the LCM of two rational expressions if the polynomials cannot be factored?

Mathematics

1 answer:

Leviafan [203]2 years ago

7 0

Answer:

To find the LCD of two rational expressions, we factor the expressions and multiply all of the distinct factors. For instance, if the factored denominators were (x+3)(x+4) ( x + 3 ) ( x + 4 ) and (x+4)(x+5) ( x + 4 ) ( x + 5 ) , then the LCD would be (x+3)(x+4)(x+5) ( x + 3 ) ( x + 4 ) ( x + 5 ) .

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Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).

Licemer1 [7]

<u>coordinates of the point are (2,6) and (3,4)</u>

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB = $\frac{1k}{2k}$ = ratio 1:2

now

finding p

for this

$(m_1,m_2)=(1,2)$

For AB

$(x_1,y_1)=(1,8)$

$(x_2,y_2)=(4,2)$

now by using division formula

$(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})$

$=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)$

similarly

Q divides AB

Ratio of AQ and QB = $\frac{2k}{1k}$ = ratio 2:1

$(x_1,y_1)=(1,8)$

$(x_2,y_2)=(4,2)$

$(m_1,m_2)=(2,1)$

by using division formula

$(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})$

$=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)$

4 0

3 years ago

It takes three identical water pumps 7 hours to fill a pool. How long would it take two of these same pumps to fill the pool, as

ra1l [238]

Answer:

Step-by-step explanation:

i dont know the exact answer ..but i know that the hours would be a larger number and first you need to find out how many ours 1 pump takes so you do 3 divided by 7 which on the calculator its 0.4...

after this you times it but i dont know by what

5 0

3 years ago

Read 2 more answers

Solve 2x2 + 5x = 12

Delvig [45]

Answer:

Step-by-step explanation:

2x² + 5x = 12

2x² + 5x - 12 = 0

x² + 5x - 24 = 0

factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3

2x² - 3x + 8x - 12 = 0

split the equation and factor

2x² - 3x = 0 ||| 8x - 12 = 0

x(2x - 3) ||| 4(2x - 3)

therefore the pair is (2x - 3)(x + 4)

2x - 3 = 0

2x = 3

x = 3/2

x + 4 = 0

x = -4

3 0

2 years ago

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You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. how many cases do you news to o

nignag [31]

You would need 13 cases. If you would like an explanation of my answer, let me know.

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3 years ago

A number is 5. Do you know it’s square?

Elanso [62]

Answer:

Step-by-step explanation:

5*5=25

4 0

3 years ago