The ordered pair(2,-3) is a solution to which of the following inequalities? a. y-2x>-5
b. y ≥-2x+2
c. 4y+2x≤-1
d. y<3x-9

pretty sure it is 4y+2x<_-1

C

Step-by-step explanation:

y-2x>-5 : (2,-3) is not a solution to this equation

y> -2x+2 : (2,-3) is not a solution to this equation

4y+2x< -1 : (2,-3) is a solution to this equation

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .