Answer:
Step-by-step explanation:
Slope-intercept form is:
Where <em>m</em> = slope and <em>b </em>= y-intercept.
It is stated that the slope of the line is 1.
It is stated that the line includes the point (0, 8)
To find the y-intercept, we can just inverse the slope-intercept form to solve for <em>b</em>.
We know that the point (8, 0) falls on the line, so that's what we'll use for <em>x</em> and <em>y</em>.
Then, we just have to plug those numbers in, as well as the slope.
Simplify.
Simplify again.
Now, we know that <em>b = -8</em>.
All we have left is to plug the slope and y-intercept into the slope-intercept form.
The answer for t is 4 and the proportional relationship is 9
Answer:
C. 4(cos(300°) +i·sin(300°))
Step-by-step explanation:
The magnitude will be ...
magnitude = √(2^2 +(-2√3)^2) = √(4+12) = 4
The negative imaginary part puts the angle in the 4th quadrant. The answer choice with a magnitude of 4 and a 4th-quadrant angle is ...
4(cos(300°) +i·sin(300°))
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If you want to figure the angle, it will be ...
angle = arctan(Im()/Re()) = arctan(-2√3/2) = arctan(-√3) = -60°
The corresponding 4th-quadrant angle is 300°.
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<em>Comment on answer choices</em>
Answer choice A is <em>another representation of the same number</em>. Typically, we want the magnitude to be positive in polar form, so that answer can be avoided on those grounds.