Answer:
A. x = 4
B. RQ = 6
C. 48 square units
Step-by-step explanation:
A. 3x - 2 = 10
3x = 12
x = 12/3
B. a^2 + b^2 = c^2
8^2 + b^2 = 10^2
64 + b^2 = 100
b = sqrt (100 - 64
b = 6
C. Area of a triangle = (b*h)/2
b = (2)(6) = 12
Area = (12 * 8)/2 = 48 square units
X^2 - 4x - 12 = x^2 + 2x - 6x - 12 = x(x + 2) - 6(x + 2) = (x - 6)(x + 2)
x^2 + 4x - 12 = x^2 - 2x + 6x - 12 = x(x - 2) + 6(x - 2) = (x - 2)(x + 6)
x^2 - x - 12 = x^2 + 3x - 4x - 12 = x(x + 3) - 4(x + 3) = (x - 4)(x + 3)
x^2 - 7x - 12 is prime.
When you have an algebraic expression including brackets, you always multiply what's on the inside by what is on the outside. This means that you would do -2 × 5x = -10x, and then -2 × -6 = 12, so your answer would be -10x + 12.
I hope this helps!
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