Answer:
The numbers are 6 and 4
Step-by-step explanation:
Let x = integer
The second is x-2
Product of x*(x-2) is 24
x(x-2) = 24
Distribute
x^2 -2x =24
Subtract 24 from each side
x^2 -2x -24 =24-24
x^2 -2x-24 =0
Factor
What two number multiply together to give 24 and add to -2
-6*4= -24
-6+4 = -2
(x-6) (x+4) =0
Using the zero product property
x-6 =0 x+4 = 0
x=6 x=-4
The question states the number is positive
x=6
The second number is x-2 = 4
The numbers are 6 and 4
Answer: 
Reason:
"at least 31 points" means "31 or more".
So either E = 31 or E > 31 (meaning Embiid scored 31 points or he scored more than 31 points).
Choice A looks like the closest match assuming the inequality sign is 
Saying E > 31 instead of would be false because it leaves out the case E = 31.
D. csc^2 x + sec^2 x = 1
The process for each option is to rewrite the equation, attempting to obtain the identity sin^2 x + cos^2 x = 1. In general convert each function to its equivalent using just sin and cos.
A. cos^2 x csc x - csc x = -sin x
cos^2 x * 1/sin x - 1/sin x = -sin x
(cos^2 x * 1/sin x - 1/sin x) * sin x = -sin x * sin x
cos^2 x * 1 - 1 = -sin^2 x
cos^2 x = -sin^2 x + 1
cos^2 x + sin^2 x = 1
Option A is an identity.
B. sin x(cot x + tan x) = sec x
sin x(cos x/sin x + sin x/cos x) = 1/cos x
cos x + sin^2 x/cos x = 1/cos x
cos^2 x + sin^2 x = 1
Option B is an identity.
C. cos^2 x - sin^2 x = 1- 2sin^2 x
cos^2 x - sin^2 x + 2sin^2 x = 1- 2sin^2 x + 2sin^2 x
cos^2 x + sin^2 x = 1
Option C is an identity.
D. csc^2 x + sec^2 x = 1
1/sin^2 x + 1/cos^2 x = 1
cos^2 x/(cos ^2 x sin^2 x) + sin^2 x/(cos^2 x sin^2 x) = 1
(cos^2 x + sin^2 x)/(cos ^2 x sin^2 x) = 1
1/(cos ^2 x sin^2 x) = 1
1 = cos ^2 x sin^2 x
Option D is NOT an identity.
