Use the Pythagorean Theorem of a² + b² = c² to solve for x.
x² + (x + 3)² = (√117)²
x² + x² + 6x + 9 = 117
2x² + 6x + 9 = 117
2x² + 6x + 9 - 117 = 0
2x² + 6x - 108 = 0
2x² + 18x - 12x - 108 = 0
2x(x + 9) - 12(x + 9) = 0
(2x - 12)(x + 9) = 0
x = - 9, 6
Length cannot be negative so you can't use - 9.
x = 6. Option C is your answer.
Equation: y=-2x-4
slope: -2
y-int: -4
x-int: -2
Answer:
Step-by-step explanation:
s = n(a + 1)
n(a + 1) = s
a + 1 = s/n
a = s/n - 1
2x-1.1/4+x/3=2
2x-1/4+x/3=2
2x-1/4+x/3+1/4=2+1/4
2x+x/3=9/4
3(2x+x/3)=3.94
7x=27/4
7x/7=27/4/7
x=27/8
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