Answer:
5,000
Step-by-step explanation:
Answer:
3 1/3 . 5-2=3 and 2/3 - 1/3 = 1/3. All together is 3 1/3
<span>we have that
the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]
we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]
z1=3[cos 110° + i sin 110°]
cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]
z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is
</span>z1=3[cos 110° + i sin 110°]<span>
</span>z2=3[cos 230° + i sin 230°]
z3=3[cos 350° + i sin 350°]<span>
</span>
Answer:
42 minutes.
Step-by-step explanation:
We know that:
y = 0.2*x
is the equation that that defines the distance, in miles, that the boat travels in x minutes.
We know that the dolphins are at 8.4 miles from the boat.
Then when we have y = 8.4, this will mean that the boat reached the dolphins.
Then we need to solve the equation:
y = 8.4 = 0.2*x
for x
To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:
8.4/0.2 = (0.2*x)/0.2
42 = x
And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.
Answer: Question 1 is m=-7/4
Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)
Step-by-step explanation: