Answer:
2.7
Step-by-step explanation:
322/7=46
46*125=2.71739
round off
2.7
Answer:Consider the right triangle formed by the complex number in the Argand-Gauss plane and it's projections on the axis. – José Siqueira Nov 12 '13 at 17:21
In particular what is the definition of sine of theta in terms of the known sides of the above mentioned right triangle? – Adam Nov 12 '13 at 17:27
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3 Answers
1
Consider the following Argand-diagram
enter image description here
The y-axis is the imaginary axis and the x-axis is the real one. The complex number in question is
x+yi
To figure out θ, consider the right-triangle formed by the two-coordinates on the plane (illustrated in red). Let θ be the angle formed with the real axis.
tanθ=yx
⟹tan−1(yx)
The hypotenuse of the triangle will be
x2+y2−−−−−−√
Therefore,
Step-by-step explanation:
Answer:
Y=x+12
Step-by-step explanation:
Not pretty sure XD but .-.
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.