Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
Answer: 14.8
Explanation: You’re trying to find the hypotenuse using the two legs that you have. The formula to find hypotenuse is a^2+b^2=c^2. You are trying to find c^2. So it would be 10^2+11^2=c^2. 10^2 is 100 and 11^2 is 121 and 100+121 is 221. Then you would square root 221 and get 14.8 for the hypotenuse.
Answer:
x = 26
Step-by-step explanation:
The three angles form a straight line, so they will sum to 180
4x - 8 + 34 + 76- x = 180
Combine like terms
3x+ 102 = 180
Subtract 102 from each side
3x+102-102 = 180-102
3x= 78
Divide each side by 3
3x/3 = 78/3
x = 26
Answer:
Step-by-step explanation:
The ratio of the same side interior angles of two parallel lines is 33:3
If two parallel lines are cut by a transversal
Sum of the same side interior angles = 180 degrees.
Therefore, the two same-side interior angles are:
We can then say that the measure of all eight angles formed by the parallel lines and transversal starting from the upper left in a clockwise rotation is:
Slope= y/x so first let’s find the difference in the y coordinates. -6 and 3. -6 + 9= 3
So far we have 9/x, now on to the x coordinates. -3 and 0, -3 + 3 = 0
9/3 is the slope
now simplify and the slope is 3
