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2 years ago

5, -15, 45, -135 identify the common ratio , then write the sequence as a geometric series

Mathematics

1 answer:

Novay_Z [31]2 years ago

8 0

Answer:

Common ratio: -3

Geometric sequence: an=5(-3)^n-1

Step-by-step explanation:

Each number multiplied by -3 gets the product of the next number. (5*-3= -15)

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Aaron and noah wanted to have a contest to see which of their paper airplanes could fly the longest distance. Aaron's plane flew

Marina CMI [18]

Aaron's plane flew 3.21 meters further than Noah's plane.

Explanation

Aaron's plane flew 4 meters and Noah's plane flew 79 centimeters.

So, first we need to convert 79 centimeters into meters.

We know that, 1 centimeter = 0.01 meter

So, 79 centimeters = $(0.01*79)meter= 0.79 meter$

Now, the difference of distance between Aaron's plane and Noah's plane is $(4-0.79) meters = 3.21 meters$

3 0

3 years ago

Point R is on line segment QS. Given RS = 13 and QS = 20, determine the length of QR

Aleksandr-060686 [28]

Answer:

Length of QR = 7

Step-by-step explanation:

20 - 13 = 7

6 0

3 years ago

Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

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

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

This point is on the graph

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

This point is not on the graph

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

This point is not on the graph

$(\frac{4}{8},\frac{2}{8})$

$x = \frac{4}{8}$ and $y = \frac{2}{8}$

Substitute $\frac{4}{8}$  for x and  $\frac{2}{8}$ for y in $y = \frac{1}{2}x$

$\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$

$\frac{2}{8} = \frac{1 * 4}{8 * 2}$

$\frac{2}{8} = \frac{4}{16}$

$\frac{1}{4} = \frac{1}{4}$

This point is on the graph

3 0

3 years ago

Is 6,000 g bigger than 6kg

Helen [10]

They are equal in mass.

1 kilogram is 1,000 grams.

Meaning, 6,000 grams is 6 kilograms.

5 0

3 years ago

Read 2 more answers

Brainiest fastest answer no link or bot or I report you I report you if you report me

Elodia [21]

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2065.24
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I did this really quick so I hope all the answers are right, and double check them if you have time just in case

4 0

2 years ago