All categories

3 years ago

The graphs below shows some properties of regular

Mathematics

2 answers:

Dmitrij [34]3 years ago

6 0

<u>Corrected Question</u>

The graphs below shows some properties of regular polygons. When compared with the independent variable, how many of the other three columns of the graphs represent a linear relationship?

(A)0 (B)1 (C)2 (D)3

Answer:

Step-by-step explanation:

Given the independent variable (Number of sides of the polygon), we notice that out of the three other columns:

Number of Diagonals

Slope= $\frac{1-0}{4-3}= \frac{2-1}{5-4}=1$

Sum of all interior angles

Slope= $\frac{360-180}{4-3}= \frac{540-360}{5-4}=180$

Measure of each angle

Slope= $\frac{90-60}{4-3}\neq \frac{108-90}{5-4}\\30 \neq 18$

Therefore, the measure of each angle does not represent a linear relationship.

Only 2 columns represent a linear relationship.

<u>The correct option is C.</u>

See below for the table

stich3 [128]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

A jewelry maker has 24 jade beads and 30 teak beads.What is the greatest number of necklaces she can make? How many beads of eac

gulaghasi [49]

Jewelery maker has

24 jade beads

30 teak Beads

She has to make necklaces with each necklace having the same number of beads

So we need to find the highest common factor for both 24 and 30

The factors for both numbers are as follows

24 -1,2,3,4,6,8,12,24

30 - 1,2,3,5,6,10,15,30

The highest common factor for both is 6

The greatest number of necklaces she can make is 6

Number of jade beads - 24/6 = 4 jade beads

Number of teak beads - 30/6 = 5 teak beads

So each necklace will have 4 jade beads and 5 teak beads

6 0

3 years ago

Read 2 more answers

Consider the function f(x)=6sin(x-pi/8)+8. What transformation results in g(x)=6sin(x-7pi/16)+1?

olga nikolaevna [1]

Answer: we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

Step-by-step explanation:

First, let's define the transformations:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Here we have:

f(x) = 6*sin(x - pi/8) + 8

and the transformed function:

g(x) = 6*sin(x - (7/16)*pi) + 1

We can assume that the transformations are a vertical shift of A units, and an horizontal shift of B units, then we can write:

g(x) = f(x + B) + A

g(x) = 6*sin(x + B - pi/8) + (8 + A) = 6*sin(x - (7/16)*pi) + 1

Then we must have that:

(x + B - pi/8) = x - (7/16)*pi

B - pi/8 = -(7/16)*pi

B = -(7/16)*pi + pi/8 = -(7/16)*pi +2*pi/16 = (-7 + 2)*pi/16 = -5*pi/16

And we also must have that:

8 + A = 1

A = 1 - 8 = -7

Then the transformation is:

g(x) = f(x - 5*pi/16) - 7

This means that we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

3 0

3 years ago

Gianna brought seven necklaces for $50.75 and Winnie brought three necklaces for $24.60 who got the better deal

olganol [36]

Gianna paid less per necklace so she got the better deal

Gianna: 50.75 / 7 = 7.25
So she paid $7.25 per necklace
Winnie: 24.60 / 3 = 8.20
So she paid $8.20 per necklace

4 0

3 years ago

Does anyone know the answers to I-ready ( Math Lvl F: Understanding Algerbretic Expressions)

sergij07 [2.7K]

Answer:

B 10x+5

Step-by-step explanation:

5 0

3 years ago

3y=6......... But i need a t chart

vovangra [49]

HEY THERE !!

3y= 6
Dividing by 3 on both sides
y = 2

And it's graph is in the attachment.