Hello,
P(x)=x^4-6x²+2=(x-a)(x-b)(x-c)(x-d)
=x^4-(a+b+c+d)x^3+(ab+ac+ad+bc+bd+cd)x^2-(abc+abd+acd+bcd)x+abcd
==>
ab+ac+ad+bc+bd+cd=-6
abc+abd+acd+bcd=0
abcd=2
a+b+c+d=0 ==>(a+b+c+d)²=0=a²+b²+c²+d²+2(ab+ac+ac+bc+bd+cd)
==>a²+b²+c²+d²=0-2*(-6)=12
if a is a root P(a)=0==>a^4-6a²+2=0
if b is a root P(b)=0==>b^4-6b²+2=0
if c is a root P(a)=0==>c^4-6c²+2=0
if d is a root P(a)=0==>d^4-6d²+2=0
==>a^4+b^4+c^4+d^4-6(a²+b²+c²+d²)+4*2=0
==>a^4+b^4+c^4+d^4=-8+6*12=64
Answer:
850 but im not sure lol
Step-by-step explanation:
645 + 225 = 870
1,320 - 870 = 450
450 + 350 = 800
800 + 50 = 850
Answer:
D.
all of the above
Step-by-step explanation:
Congruent means they are the same
30=30
60=60
130=130
So they are all the same
To draw theta=-120° in the unit circle, we move clockwise 90°, then another 30°.
This means that we pass the fourth quadrant and stop in the third quadrant.
The reference angle of an angle theta in the third quadrant, is theta + 180°.
So the reference angle of -120° is -120°+180°=60°.
360° are 2π Radians
then 60° are 1/6 of 2π Radians = π/3 Radians
Answer: Reference angle is π/3 Radians
Answer:
-2.4 + 3.2t
Step-by-step explanation:
To combine the like terms, add both the numbers with the variable t together and the others without together.
-3.6+1.2= -2.4
-1.9t + 5.1t = 3.2t
Putting the sums together you should get:
-2.4 + 3.2t
If you're confused about how to subtract/add negative numbers, I like to ignore the sign--depending on what it is of course. For example, I rewrite -3.6+1.2 as 3.6-1.2. When you get the answer for that (2.4), add a negative symbol in front because the negative number was greater than the positive. I hope that helps rather than confusing you.
