What is the standard equation with center (4, -5) and radius 11

Step-by-step explanation:

The standard equation of a circle is:

where (h,k) is the center, and r is the radius.

We know that (4,-5) is the center, and 11 is the radius.

Therefore, 4 is h, -5 is k, and 11 is r. Substitute them into the equation

Solve the exponent

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.