Answer:
They will pass in 30.97 seconds (16/31 minutes).
Step-by-step explanation:
blah blah this the answer nothing more nothing less
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)
The measure of the interior angle at vertex C is D. 144.
<h3>How to calculate the angle?</h3>
Based on the information given, the angle will be calculated thus:
8x + 8x + 8x + 3x + 3x = (5 - 2) × 180
30x = 540
Divide both side by 30
30x/30 = 540/30
x = 18
Therefore, at vertex C, we have 8x. This will be:
= 8x
= 8 × 18
= 144
Learn more about angles on:
brainly.com/question/13007711
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Answer:
hola:)
Step-by-step explanation:
3 ^6= 6x6x6
4 ^5= 4x4x4x4x4
6 ^3=3x3x3x3x3x3
5 ^4= 4x4x4x4x4
Answer:
a = 324
Step-by-step explanation:
9=1/27 a -3
value of a = ?
9=(1/27) a -3
9 + 3 = (1/27) a
12 = (1/27) a
12 x 27 = a
a = 324
