9514 1404 393
Answer:
Step-by-step explanation:
(a) The polynomial is degree 2, so the fundamental theorem of calculus tells you there are 2 roots.
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(b) We can "complete the square" to find the two roots.
2x^2 +4x +7 = 2(x^2 +2x) +7 = 2(x^2 +2x +1) +5 = 2(x +1)^2 +5
This is zero when ...
2(x +1)^2 = -5 . . . . . subtract 5
x +1 = ±i(√10)/2 . . . divide by 2, take the square root
x = -1 ±i(√10)/2 . . . subtract 1
C. HL
The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.
3 of the 36 outcomes have a sum of 10. The probability is 3/36 = 1/12
