The point (2,7) is successively reflected across the x-axis then the y-axis and then the x-axis again. what is the area of the rectangle formed by these two pointer

The area of rectangle is

Step-by-step explanation:

Let

A(2,7)

step 1

The point A is reflected across the x-axis

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

so

A(2,7) ----->B(2,-7)

step 2

The point B is reflected across the y-axis

we know that

The rule of the reflection of a point across the y-axis is

(x,y) -----> (-x,y)

B(2,-7) ----> C(-2,-7)

step 3

The point C is reflected across the x-axis

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

so

C(-2,-7) ----->D(-2,7)      

step 4

Find the area of rectangle formed by

A(2,7),B(2,-7),C(-2,-7),D(-2,7)

using a graphing tool

see the attached figure

The area of rectangle is

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )