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dolphi86 [110]
2 years ago
8

the factors of the following polynomial are given below.choose the right factors that correspond to each given polynomial and wr

ite your answer on your answer sheet​​

Mathematics
1 answer:
seraphim [82]2 years ago
6 0

#1

\\ \ast\rm\longmapsto (x-9)(x+9)

\\ \ast\rm\longmapsto x^2-9^2

\\ \ast\rm\longmapsto x^2-81

#2

\\ \ast\rm\longmapsto (2x-7)(2x+7)

\\ \ast\rm\longmapsto 2x^2-7^2

\\ \ast\rm\longmapsto 4x^2-49

#3

\\ \ast\rm\longmapsto (4x-9y)(4x+9y)

\\ \ast\rm\longmapsto 4x^2-9y^2

\\ \ast\rm\longmapsto 16x^2-81y^2

#4

\\ \ast\rm\longmapsto (5x-1)(5x+1)

\\ \ast\rm\longmapsto 5x^2-1^2

\\ \ast\rm\longmapsto 25x^2-1

#5

\\ \ast\rm\longmapsto (9x-20y^2)(9x+20y^2)

\\ \ast\rm\longmapsto 9x^2-(20y^2)^2

\\ \ast\rm\longmapsto 81x^2-400y^2

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Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

m =  \frac{y_2-y_1}{x_2-x_1}

The slope of the line that passes through (−12, 15) and (4, −5) is

m_{1} =  \frac{ - 5 - 15}{4 -  - 12}

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The slope of the line going through (−8, −9) and (16, 21) is

m_{2} =  \frac{21 -  - 9}{16 -  - 8}

m_{2} =  \frac{21  + 9}{16  + 8}

m_{2} =  \frac{30}{24}  =  \frac{5}{4}

The product of the two slopes is

m_{1} \times m_{2} =  -  \frac{4}{5}  \times  \frac{5}{4}  =  - 1

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Answer:

After 12.86 days Nick and Perry will have the same amount of money

Step-by-step explanation:

Perrie's can be expressed as;

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Replacing in the expression;

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Nick's can be expressed as;

Total amount Nick will have after t days=Initial amount Perry has+Total amount Nick earns

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Replacing in the expression;

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Equating Total amount Nick will have after t days to Total amount Perry will have after t days;

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180=(8t+6t)

14t=180

t=(180/14)=12.86 days

After 12.86 days Nick and Perry will have the same amount of money

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