The length and width of a rectangle are consecutive even integers. the area of the rectangle is 48 square units. what are the length and width of the rectangle? separate the answers with a comma.

width: 6 units, length: 8 units

Step-by-step explanation:

x × (x + 2) = 48

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) - 6(x + 8) = 0

(x + 8)(x - 6) = 0

x = -8, 6

x cannot be -8 because it's a length

x + 2 = 8

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.

its 8

step-by-step explanation: