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1 year ago

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Segment ab falls on line 6x 3y = 9. segment cd falls on line 4x 2y = 8. what is true about segments ab and cd? they are parallel

because they have the same slope of −2. they are perpendicular because they have slopes that are opposite reciprocals of −2 and one half. they are parallel because they have the same slope of 2. they are perpendicular because they have opposite reciprocal slopes 2 and negative one half.

1 answer:

AnnyKZ [126]1 year ago

8 0

They are parallel because they have the same slope of 2.

<h3>How to determine the true statements about the segments?</h3>

The segments are given as;

AB => 6x - 3y = 9

CD => 4x - 2y = 8

We start by making y the subject of both equations

AB => 6x - 3y = 9

-3y = -6x + 9

Divide through by -3

y = 2x - 3

CD => 4x - 2y = 8

-2y = -4x + 8

Divide through by -2

y = 2x - 2

A linear equation is represented as:

y = mx + b

Where m represents the slope of the line.

By comparing the three equations, we have:

m1 = 2

m2 = 2

Parallel lines have equal slopes.

This means that the lines AB and CD are parallel lines

Hence, they are parallel because they have the same slope of 2.

Read more about slopes at:

brainly.com/question/3493733

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Find the mean 35 40 12 16 25 10

ruslelena [56]

Answer: Mean = 23

Step-by-step explanation:

<u>Given information:</u>

35, 40, 12, 16, 25, 10

<u>Given formula:</u>

$Mean~=~\frac{Sum~of~terms}{Number~of~terms}$

<u>Substitute values into the formula</u>

$Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}$

<u>Combine like terms</u>

$Mean~=~\frac{75~+~28~+~35}{6}$

$Mean~=~\frac{103~+~35}{6}$

$Mean~=~\frac{138}{6}$

<u>Simplify the fraction</u>

$\Large\boxed{Mean=23}$

Hope this helps!! :)

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1 year ago

Briefly, describe the distribution in context. Recall, categorical variables are summarized by counts and/or percents

Sholpan [36]

Thus, distribution is a function that shows the possible values for a variable and how often they occur and categorical values are summarized by counts and/or percents

In statistics, the distribution is a function that shows the possible values for a variable and how often they occur.

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The categorical variable is a data in which individuals are placed into groups or categories.

One way to summarize categorical data is to simply count (frequency), or tally up, the number of individuals that fall into each category. Another way is to show the percentage of individuals who fall into each category, thereby creating a relative frequency.

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2 years ago

The sides of two cubes are in the ratio 2:1. What is the ratio of their volumes ?

olasank [31]

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Answer:

we know that, Volume of cube=a³

Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)

Step-by-step explanation:

ATQ: 2x=a³ and, x=A³

a=³√2x and, A=x

we know that, surface area of cube is 6a²

Thus, surface area of 1st cube = 6(³√2x)²

= 6³√4x²

Surface area of 2nd cube=6(x)²=6x²

Ratio of S.A=(6³√4x²)÷(6x²)

Ratio of S.A=³√4:1

<em><u>Please mark as brainliest</u></em>

Have a great day, be safe and healthy

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2 years ago

Write an equation to model growth or decay in the following scenario. A stock is declining at a rate of 25% of its value every 2

yawa3891 [41]

The exponential function that models this situation is:

$y(t) = 225(0.75)^{\frac{t}{2}}$

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A decaying exponential function has the following format:

$y(t) = y(0)(1 - r)^t$

In which:

y(0) is the initial value.
r is the decay rate, as a decimal.

In this problem:

The stock started at $225, thus $y(0) = 225$ .
Declines at a rate of 25% every 2 weeks, thus $r = 0.25, t = \frac{t}{2}$

The equation is:

$y(t) = y(0)(1 - r)^t$

$y(t) = 225(1 - 0.25)^{\frac{t}{2}}$

$y(t) = 225(0.75)^{\frac{t}{2}}$

A similar problem is given at brainly.com/question/24282972

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2 years ago

Which decimal is closest in value to 9/20

yan [13]

Answer:

0.45

Step-by-step explanation:

9/20 is the same as 0.45

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3 years ago

Read 2 more answers