From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).

The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)

The transformed triangle is shown in red color.

5 0

3 years ago

An average of 145 people visited a 4-day exhibition on the first 3 days. Another 205 people visited the exhibition on the fourth

Alenkinab [10]

Answer:

160 visitors.

Step-by-step explanation:

Given:

An average of 145 people visited a 4-day exhibition on the first 3 days, means here average people visited in 3 days is given 145.

Average = 145

Number of people, n = 3

Another 205 people visited the exhibition on the fourth day.

To find:

What is the average number of visitors per day ?

Solution:

First of all we will find total number of people visited in 3 days:-

As we know:

$Average=\frac{Sum\ of\ observation}{number\ of\ observation}$

$145=\frac{Sum\ of\ observation}{3}\\$

Multiplying both sides by 3

$145\times3=\frac{Sum\ of\ observation}{3}\times3\\435=Sum\ of\ observations$

Thus, we found that total number of people visited in 3 days is 435 and as 205 people visited in fourth day, then total number of people increased to

435 + 205 = 640

Now, sum of total observations( total number of people ) = 640

And number of observation ( number of days ) = 4

Now, we will calculate average number of visitors visit per day :-

$Average=\frac{Sum\ of\ observation}{number\ of\ observation}$

$=\frac{640}{4} \\=160\ visitors$

Thus, the average number of visitors per day is 160 visitors.

6 0

2 years ago