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3 years ago

What is the equation of a line that is parallel to the line x=-2and passes through the point (-5, 4)?

1 answer:

6 0

First, it is important to understand that any equation that is x=some number is just a vertical line that hits the x-axis at the given number. For example, x=-2 would be a vertical line hitting the x-axis at -2. Therefore, the line we are trying to identify would also be vertical (and have the form x=some number) because we know the lines are parallel. Then, since we're given the point (-5,4), we know the line needs to hit the x-axis at -5, therefore the equation would be x=-5.

I hope this helps.

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3 years ago

The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po

noname [10]

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

$A = B$

Step-by-step explanation:

<em>See comment for complete question</em>

Given

$A: (4x^2 - 4x)(x^2 - 4)$

$B: (x^2 + x - 2)(4x^2 - 8x)$

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

$A: (4x^2 - 4x)(x^2 - 4)$

Factor out 4x

$A: 4x(x - 1)(x^2 - 4)$

Apply difference of two squares on x^2 - 4

$A: 4x(x - 1)(x - 2)(x+2)$

For, Polynomial B: We have:

$B: (x^2 + x - 2)(4x^2 - 8x)$

Expand x^2 + x - 2

$B:(x^2 + 2x - x - 2)(4x^2- 8x)$

Factorize:

$B:(x(x + 2) -1(x + 2))(4x^2- 8x)$

Factor out x + 2

$B:(x -1) (x + 2)(4x^2- 8x)$

Factor out 4x

$B:(x -1) (x + 2)4x(x- 2)$

Rearrange

$B: 4x(x - 1)(x - 2)(x+2)$

The simplified expressions are:

$A: 4x(x - 1)(x - 2)(x+2)$ and

$B: 4x(x - 1)(x - 2)(x+2)$

Hence, both polynomials are equal

$A = B$

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2 years ago

What will be the lowest common denominator for the fractions 2/3 and 4/5?

dusya [7]

To find the lowest common denominator between the fractions, what you need to do is simply write out the multiples of both 3 and 5 and find what multiple is common between both:

3,6,9,12,15
5,10,15

The multiple that is common and is the lowest in both would be 15.

The solution thus is B.15, it is the LCD for the fractions of 2/3 and 4/5.

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2 years ago

Write the following expressions as an exponential term with a single base <br> (4*2^5)÷(2^3 *1/16)

Schach [20]

Answer:

2^8

Step-by-step explanation:

(4*2^5)÷(2^3 *1/16)

$\left ( 4\times 2^5 \right )\div \left ( 2^3\times \frac{1}{16} \right )\\\\2^7 \div 2^{-1}\\\\2^7\times 2^1\\\\2^8$

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2 years ago