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9 months ago

Determine the equation of the line that is parallel to the given line, through the given point

Mathematics

1 answer:

bixtya [17]9 months ago

8 0

The equation of the line that is parallel to the given line, through the given point is y = -5x - 7

Given equation,

y = -5x + 1

Slope = m

= -5

For two lines to be parallel, slope is equal.

Therefore, m = -5 for another line.

Let the equation of the line be y = mx + c

This line passes through A(-2,3)

Therefore, 3 = -5(-2) + c

3 = 10 + c

c = 3 - 10

= -7

Hence, equation of line is y = -5x - 7.

To learn more about equation of the line here:

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I need help with this if anyone can help

Fiesta28 [93]

Answer: $\Large\boxed{Fourth~Choice.~f(x)=2-i}$

Concept:

Here, we need to know the power of imaginary numbers

i = √(-1)

i² = -1

i³ = -i

i⁴ = 1

Solve:

Given function expression

$f(x)=x^3-2x^2$

Given the requirement of the question

To find the expression for f(i)

Substitute values into the expression

$f(x)=(i)^3-2(i)^2$

Simplify the exponents

$f(x)=(-i)-2(-1)$

Expand the parenthesis

$f(x)=-i-(-2)$

$\Large\boxed{f(x)=2-i}$

Hope this helps!! :)

Please let me know if you have any questions

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1 year ago

Read 2 more answers

They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter

wariber [46]

Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

3W = 465 + 60 = 525

W = 525/3 = 175

L = 465 - W = 465 - 175

L = 290

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Pepsi [2]

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Step-by-step explanation:

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Reptile [31]

Answer:

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Step-by-step explanation:

I had the same question on my hw and I guessed that and got it right so

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2 years ago