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.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{21})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[9-2]^2+[21-(-3)]^2}\implies d=\sqrt{(9-2)^2+(21+3)^2} \\\\\\ d=\sqrt{7^2+24^2}\implies d=\sqrt{49+576}\implies d=\sqrt{625}\implies d=25$

3 0

3 years ago

A building is 240 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

gulaghasi [49]

Answer:

60 in = 240 ft

Step-by-step explanation:

240/4 = 60

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15 x 4 = 60

9 x 4 = 36

60 x 4 = 240

13 x 4 = 52

5 0

3 years ago

Read 2 more answers

Are the expressions 3.16 - 0.22b and 2.88b Equivalent?

aleksley [76]

Answer:

Step-by-step explanation:

3 0

3 years ago