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(a) TRUE The opposite of a number is basically that number's negative. For example, 2 + (-2) = 0. 

(b) FALSE Not always! It depends if the first number is greater or less than the second number. For example, 2 - 3 = -1

(c) FALSE Actually, It's the quite opposite! When a positive integer is multiplied to a negative integer, the product is ALWAYS negative. For example. (-2)*3=-6

(d) FALSE NOOOOOOOOOOOO. Just because the sum of a postive and its oppositie integer is 0, it doesn't mean the product is 0. Remember, the only way to get a product to equal 0 is by multiplying by 0!

\(3(x+2)=20-4x\)

= \(3x + 6 = 20-4x\)

= \(3x + 6 + 4x = 20\)

= \(3x + 4x = 20 - 6\)

= \(7x = 14 \)

 = \(x = 2\)

Let's check our work

= \(3(2 + 2)=20- 4(2)\)

= \(3(4)=20-8\)

= \(12 = 12\)

X = 2

Umm, i think I can help. 

X and y are numbers. 

x^2 - y^2 = 99

x - y = 3

x = y + 3

(y + 3)^2 - y^2 = 99

y^2 + 6y + 9 - y^2 = 99

6y + 9 = 99

6y = 90

y = 15

x = 15 + 3

x = 18

Now we test. 

324 - 225 = 99 and there are 2 perfect squares between them, 256 and 289. 

SO, 324 + 225 = 549!

549