Answer:
Exact Form:
47
2942
Decimal Form:
0.01597552
…
Step-by-step explanation:
Scalene just means all the angles are different. Not particularly helpful; we'll check at the end.
Obtuse is bigger than 90, so this will be the biggest angle in the triangle, let's call it A. A>90 degrees.
B=56 degrees.
C is the smallest angle. It will be smaller than B, since A is obtuse.
The two equations we can write are
A = 3C
A+B+C=180
3C + 56 + C = 180
4C = 124
C = 31
A = 3(31) = 93
Check:
31 + 93 + 56 = 180, good
all three different, scalene, good
93 is obtuse, good
Answer: Triangle has angles 31°, 56°, 93°
Answer:
x = 2 ± (i)√5 (Answer b)
Step-by-step explanation:
x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula.
Completing the square is fast here:
Rewrite x²-4x+9=0 as x²-4x +9=0
Identify the coefficient of the x term: it is -4
Take half of that, obtaining -2
Square this result, obtaining 4
Add 4 to x²-4x +9=0, in the blank space in the middle, and then subtract 4: x²-4x +4 -4 +9=0
Rewrite x²-4x +4 as the square of a binomial:
(x - 2)² - 4 + 9 = 0 → (x - 2)² = -5
Take the square root of both sides: x - 2 = ±√(-5) = ± (i)√5
Then x = 2 ± (i)√5
Answer:
-5
Step-by-step explanation:
Find the number with the equation 6(x + 8) = 18
solve for x to get -5
I think this is the graph for your answer, for the next question like this, try to use "Desmos"