Select the point that satisfies

y ≤ x^2 - 4x + 2

a) ( 5,5 )
b) ( 2,2 )
c) ( 4,4 )
d) ( 1,1 )

Step-by-step explanation:

Put the coordinates of the points to the inequality, and check:

y ≤ x² - 4x + 2

for (5, 5) → x = 5, y = 5

5 ≤ 5² - 4(5) + 2

5 ≤ 25 - 20 + 2

5 ≤ 7     CORRECT :)

for (2, 2) → x = 2, y = 2

2 ≤ 2² - 4(2) + 2

2 ≤ 4 - 8 + 2

2≤ -2      FALSE

for (4, 4) → x = 4, y = 4

4 ≤ 4² - 4(4) + 2

4 ≤ 16 - 16 + 2

4 ≤ 2         FALSE

for (1, 1) → x = 1, y = 1

1 ≤ 1² - 4(1) + 2

1 ≤ 1 - 4 + 2

1 ≤ -1       FALSE

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk