2 years ago

Which complex number has an absolute value of 5? -3 + 4i 2 +3i 7-2i 9 +4i

2 answers:

8 0

Answer: -3 + 4i

Step-by-step explanation: Square both numbers, add them, then find the square root. Essentially, use the Pythagorean theorem. -3^2 + 4^2 9 + 16=25 Square root of 25 is 5

fiasKO [112]2 years ago

6 0

Answer:

-3+4i

Step-by-step explanation:

on a graph the complex number is (-3,4) The magnitude is -3^2+4^2=c^2

c=5 when solved

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What equation represents a line that passes through (4,1/3) and has a slope of 3/4

AysviL [449]

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{\frac{1}{3}})
\qquad \qquad \qquad \qquad 
% slope = m
slope = m\implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-\cfrac{1}{3}=\cfrac{3}{4}(x-4)\implies y-\cfrac{1}{3}=\cfrac{3}{4}x-3
\\\\\\
y=\cfrac{3}{4}x-3+\cfrac{1}{3}\implies y=\cfrac{3}{4}x-\cfrac{8}{3}$