Rotate the vector -5,7 180 degrees about the origin

⟨5,-7⟩

Context & Step by Step Explanation:

Since a vector is a list of numbers ordered in a column or row, you can place the given numbers into a matrix calculator. A matrix is a list of organized numbers in multiple columns or rows.

Step 1:

Using the Desmos matrix calculator, make a matrix of one row and two columns. Insert the following numbers as if you were placing the coordinates in a graph. Place the negative five into the X placement and seven into the Y placement.

Step 2:

Then make another matrix with two rows and two columns. On the top row, place the negative one first and zero next to it. On the bottom row, place a zero first and a negative one next to it. It's the formula for rotating a matrix at 180 degrees.

Step 3:

Multiply the first and second matrices, and you'll get the answer, ⟨5,-7⟩.

b

step-by-step explanation:

b

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.