Find the GCF. 20, 45x

Answers

Answer 1

Answer: Here what you can do is list the factors for both terms:
20: 2, 2, 5
45x: 3, 3, 5, x

The only factor that both terms share is 5, so 5 is your GCF.

Answer 2

Answer: Yes the GCF of 20 and 45x is 5. Due to the fact that 20: 1 & 20, 2 & 10, 4 & 5 and 45: 1 & 45, 3 & 15, 5 & 9 also only one of them has the variable x so it is not common.

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The expression x+3/2x-8 is undefined when x=____?

Answers

3.66666666666667 thats what i get

when x equals 6.6666666667

A line goes through the points (-4,6) and (-2,3). A line perpendicular to
that line is:

Answers

The equation of the line perpendicular to the given line that passes through the point (-4, 6) is y = (2/3)x + 26/3.

Here, we have to find a line that is perpendicular to the given line, we need to determine the slope of the given line and then find the negative reciprocal of that slope.

Perpendicular lines have slopes that are negative reciprocals of each other.

Given points: (-4, 6) and (-2, 3)

The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:

$m = (y_2 - y_1) / (x_2 - x_1)$

Let's plug in the values:

$m_1 = (3 - 6) / (-2 - (-4))\nm_1 = (-3) / (2)\nm_1 = -3/2$

The negative reciprocal of a number is the negative value of its reciprocal.

The reciprocal of a number a is 1/a.

So, the negative reciprocal of $m_1$ is:

$m_2 = -1 / m_1\nm_2 = -1 / (-3/2)\nm_2 = -1 * (-2/3)\nm_2 = 2/3$

The perpendicular line has a slope of 2/3.

Now, we have the slope of the line perpendicular to the given line.

To find the equation of this perpendicular line, we also need a point on the line.

We can use one of the given points from the original line.

Let's use the point (-4, 6):

Use the point-slope form of a line to write the equation of the perpendicular line:

$y - y_1 = m_2(x - x_1)$

Substitute the values:

y - 6 = (2/3)(x - (-4))

y - 6 = (2/3)(x + 4)

Now, if we want to put the equation in slope-intercept form (y = mx + b), we can simplify further:

y - 6 = (2/3)x + 8/3

Add 6 to both sides:

y = (2/3)x + 8/3 + 6

y = (2/3)x + 8/3 + 18/3

y = (2/3)x + 26/3

So, the equation of the line perpendicular to the given line that passes through the point (-4, 6) is y = (2/3)x + 26/3.

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Answer: A line with a slope of 2

Step-by-step explanation: the slope of the line is -1/2 so the negative reciprcal of the slope is 2 (It would be perpendicular to it)

i used m=y2-y2/x2-x1 to figure ou the slope and -(x/y) as the negative reciprcal for the perpendicular line.

A 4 kg bird is flying and it has a total kinetic energy of 32 Joules. What is the bird's current velocity?

Answers

Answer:

K=32J

Explanation:

Kinetic energy is given by:

K=12mv2

We are given that m=4kg and v=4ms.

⇒K=12(4kg)(4ms)2

=32Nm

=32J

Step-by-step explanation:

i have no idea if this helps or not

Choose all the fractions that are equivalent to 4/12.1/3
9/27
5/15
2/8
8/24

Answers

The following fractions that are equivalent to 4/12: 1/3, 9/27, 5/15 and 8/24.

Equivalent Fraction

This classification refers to the fractions that represent the same value even if they are written with different numbers. For finding an equivalent fraction you should simplify the fraction until its simple form.

The given fraction is 4/12, when you divide the numerator and denominator by 4 you find 1/3 which represents the fraction in simplest form .

1/3 is equivalent to 4/12. Because the fraction in simplest form for 4/12 is 1/3 .

9/27 is equivalent to 4/12. Because the fraction in simplest form for 9/27 is 1/3 .

5/15 is equivalent to 4/12. Because the fraction in simplest form for 5/15 is 1/3 .

2/8 is not equivalent to 4/12. Because the fraction in simplest form for 2/8 is 1/4 .

8/24 is equivalent to 4/12. Because the fraction in simplest form for 8/24 is 1/3 .

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Answer:

1/3 ! 5/15 ! 8/24 ! 9/27

Step-by-step explanation:

i know math

What is the product?
2x(x – 4)
2x2 – 4
2x2 – 8
2x2 – 4x
2x2 – 8x

Answers

2x(x - 4)
2x × x + 2x × -4
2x^2 + 2x × -4
2x^2 + -2x × 4
2x^2 - 8x

The answer is: 2x^2 - 8x.

Answer:

2x^2-8x.

Step-by-step explanation:

Please Help me Check the image below!!!!!

Answers

Answer:

First question:

The graph of $y=(3-2x)/(2-3x)$ has a vertical asymptote at x = $(2)/(3)$ and a horizontal asymptote at y = $(2)/(3)$

Second question:

The graph of equation $y=(1-3x)/(2+x)$ has a horizontal asymptote at y = -3 ⇒ C

Step-by-step explanation:

The vertical asymptotes will occur at the values of x for which make the denominator is equal to zero

The horizontal asymptotes will occur if:

Both polynomials are the same degree, divide the coefficients of the highest degree terms
The polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote

First question:

∵ $y=(3-2x)/(2-3x)$

- To find the vertical asymptote equate the denominator by 0

to find the value of x

∵ The denominator is 2 - 3x

∴ 2 - 3x = 0

- Add 3x to both sides

∴ 2 = 3x

- Divide both sides by 3

∴ $(2)/(3)$ = x

∴ The graph has a vertical asymptote at x = $(2)/(3)$

To find the horizontal asymptote look at the highest degree of x in both numerator and denominator

∵ The denominator and the numerator has the same degree of x

- Divide the coefficient of x of the numerator and denominator

∵ The coefficient of x in the numerator is -2

∵ The coefficient of x in the denominator is -3

∵ -2 ÷ -3 = $(2)/(3)$

∴ The graph has a horizontal asymptote at y = $(2)/(3)$

The graph of $y=(3-2x)/(2-3x)$ has a vertical asymptote at x = $(2)/(3)$ and a horizontal asymptote at y = $(2)/(3)$

Second question:

The graph has a horizontal asymptote at y = -3

means the numerator and the denominator has same highest degree and the coefficient of the highest degree in the numerator divided by the coefficient of the highest degree in the denominator equal to -3

In all answers the numerator and the denominator have the same highest degree

Lets look for the coefficients of x up and down to find which one gives quotient of -3

∵ In answer A the quotient is 1 because x up and down have

coefficient 1

∵ In answer B the quotient is $-(1)/(3)$ because the coefficient of x

up is 1 and down is -3

∵ In answer D the quotient is -1 because the coefficient of x

up is 3 and down is -3

∵ In answer C the quotient is -3 because the coefficient of x up

is -3 and down is 1

∴ The graph of equation $y=(1-3x)/(2+x)$ has a horizontal asymptote at y = -3

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NEED HELP AND FAST! WILL GIVE BRAINLEST TO HOWEVER ANSWERS CORRECTLY.

Divide 6/13 by 6/12 .

A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car during the drop is modeled by the function, h(t)=10t2−40t+80 , where t is measured in seconds since the car started its decline. The model is accurate for 0≤t≤4 . On this portion of the ride, how long does the car take to reach a minimum height from the ground before rising again?

Suppose you have two different linear equations. How would you tell if the lines represented are parallel, perpendicular, or neither?