2 - 3i is just another of writing (2, -3) in the cartesian plane, the 2-3i however is using the "imaginary axis" for the imaginary plane, is all however the imaginary axis is simply the equivalent of the y-axis. Likewise 9+21i is just (9,21), so let's just use the distance formula.
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{21})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[9-2]^2+[21-(-3)]^2}\implies d=\sqrt{(9-2)^2+(21+3)^2} \\\\\\ d=\sqrt{7^2+24^2}\implies d=\sqrt{49+576}\implies d=\sqrt{625}\implies d=25](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B-3%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B9%7D~%2C~%5Cstackrel%7By_2%7D%7B21%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20d%3D%5Csqrt%7B%5B9-2%5D%5E2%2B%5B21-%28-3%29%5D%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B%289-2%29%5E2%2B%2821%2B3%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20d%3D%5Csqrt%7B7%5E2%2B24%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B49%2B576%7D%5Cimplies%20d%3D%5Csqrt%7B625%7D%5Cimplies%20d%3D25)
Step-by-step explanation:
given Tony can type at a constant rate of 110 words every 2 minutes.This means tony can type 55 words in every minute.
A- Tony can type W words in T minutes. W*T=M (M=Minutes Tony typed)
B- Tony can type 1100 words in 20 minutes. as 55*20=1100.
C- Yes, Tony can type the essay. Why: because in this equation w=55 and t=30 minutes so t*w=30*55=1650 so yes, Tony can write the essay.
Answer:
Step-by-step explanation:
Given
at 9 am temperature of the body is 
1 hr later temperature 
Temperature of room 
According to newtons law



Integrating



Now at 9 am i.e. t=0,


At 10 am i.e. t=1 hr T=89



Temperature of Normal human body is 


Taking log both sides

i.e. 5 hr and 16.2 min
i.e. victim murdered at 3 am and 43.8 min
Answer:
The answer is C. 7 - 3 = 4
Step-by-step explanation:
The median is 6 and the first quartile is 3 and the third quartile is 7. Ap3x certified!Have a great day hope this helps!
Answer:
Its either A or D because its reflection so that cancels out B and C
im not sure if this helps u or not but at lest it cancels out 2 of the options
The reflection of a horizontal line has the same result as a rotation of 90 degrees clockwise.
Step-by-step explanation:
When an image is rotated 90 degrees counterclockwise the shape is still congruent but in a different quadrant. The same is true when an image is reflected across a horizontal line.