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3 years ago

Please help me with math

Mathematics

1 answer:

Vsevolod [243]3 years ago

8 0

You need to replace the coordinates given after dilating them or stretching the parabola.

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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

$A = B$

3 0

3 years ago

5. An attacker swings a board with a mass of 2 kg toward a victim. The acceleration is 10 m/s2 when the board hits the victim. H

suter [353]

The force exerted on victim is 20 newton

<em><u>Solution:</u></em>

An attacker swings a board with a mass of 2 kg toward a victim

The acceleration is 10 $m/s^2$ when the board hits the victim

To find: Force exerted on victim

<em><u>The force is given by formula:</u></em>

$F = mass \times acceleration$

From given,

$mass = 2 \text{ kg }\\\\Acceleration = 10$ $m/s^2$

<em><u>Substituting the values in formula,</u></em>

$Force = 2 \times 10 = 20$

Thus force exerted on victim is 20 newton

6 0

3 years ago

The cargo of the truck weighs at most 2,000 pounds.

Vadim26 [7]

$w \geqslant 2000$

which is, W is less than or equal to 2000 lbs.

6 0

3 years ago

Explain how you determined the length of segment LM using 2-3 sentences or explain your steps used to find the value for y.

anastassius [24]

<h2>Explanation:</h2><h2 />

The question is incomplete so I'll assume the segment LM is defined by these two points:

$L(4,3) \\ \\ M(5,8)$

So we can find the length of the segment by using the distance formula:

$d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2} \\ \\ \\ So, \ if \ we \ call: \\ \\ L(x_{1},y_{1}) \ and \ M(x_{2},y_{2}) \\ \\ \\ Then: \\ \\ \overline{LM}=\sqrt{(4-5)^2+(3-8)^2} \\ \\ \overline{LM}=\sqrt{(-1)^2+(-5)^2} \\ \\ \overline{LM}=\sqrt{1+25} \\ \\ \boxed{\overline{LM}=\sqrt{26}}$

5 0

3 years ago

Which equation represents a proportional relationship?choose one

Travka [436]

Answer:

d. y =1/4x

Step-by-step explanation:

There can be no added constant in an equation expressing a proportional relationship. If the equation is written in standard form (ax+by=c), then the value of c must be zero.

That is, the point (x, y) = (0, 0) must be a solution to the linear equation for a proportional relationship.

8 0

3 years ago

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