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2 years ago

A line passes through the points (4, -1) and (2,3). What is the slope of the line?

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

5 0

Slope = (Yb - Ya) / (Xb - Xa)
Slope = (3 - (-1)) / (2 - 4)
Slope = (3 + 1) / (-2)
Slope = 4/-2
Slope = -2

Licemer1 [7]2 years ago

4 0

-2 you do y2-y1/x2-x1 i believe

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22 I think If I worked it out right

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3 years ago

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 12 a

RSB [31]

Answer:

The width is 8 units

Step-by-step explanation:

This is a variation problem we are to work with.

Length is inversely proportional to width, let length be l and width be w

modeling the statement mathematically, we have lw = k where k is the proportionality constant

Now let’s get k from l = 12 and w = 6

k = 12 * 6 = 72

Now for the second rectangle also;

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3 years ago

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Nat2105 [25]

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

$a_1 =6\\a_2 = 18\\a_3 = 54$

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

$r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3$

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

$a_n = a_{n-1} * r$

In case of given sequence,

$a_n = a_{n-1} * 3$

So to find the 5th term

$a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486$

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

$a_n = a_1 * r^{n-1}$

Putting the values of a_1 and r

$a_n = 6 * (3)^{n-1}$

Hence,

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#LearnwithBrainly

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3 years ago

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Step-by-step explanation:

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2 years ago

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katen-ka-za [31]

Answer:

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Step-by-step explanation:

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3 years ago

A line passes through the points (4, -1) and (2,3). What is the slope of the line?​

A line passes through the points (4, -1) and (2,3). What is the slope of the line?