Answer: choice C) -15x^4y
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Explanation:
The coefficients are -3 and 5. They are the numbers to the left of the variable terms
Multiply the coefficients to get -3*5 = -15. So -15 is the coefficient in the answer
Multiply the x terms to get x^3 times x = x^(3+1) = x^4. Notice the exponents are being added
Do the same for the y terms as well: y^2 times y^(-1) = y^(2+(-1)) = y^(2-1) = y^1 = y
So we have a final coefficient of -15, the x terms simplify to x^4 and the y terms simplify to just y
Put this all together and we end up with -15x^4y which is what choice C is showing
1) b (think commutative and associative properties) , 2) a (think that minus a negative equals positive)
Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.
a) 5² + 10² = 15²
25 + 100 = 225 *FALSE*
b) 13² + 35² = 37²
169 + 1225 = 1369 *FALSE*
c) 9² + 40² = 41²
81 + 1600 = 1681 *TRUE*
d) 6² + 9² = 10²
36 + 81 = 100 *FALSE*
The answer is C) 9, 40, 41.
