Answer:
B. zero
Step-by-step explanation:
Lines with negative slopes slant downward from left to right
Lines with positive slopes slant upward from left to right.
Lines with undefined slopes are vertical lines.
Lines with zero slopes are horizontal lines.
This is a horizontal line, so it must have a slope of zero. This is because it is a horizontal line, and the y-coordinate never changes.
Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:
The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).
9514 1404 393
Answer:
d. 76(cos(3π/16) +i·sin(3π/16))
Step-by-step explanation:
To form the product of 38cis(π/8) and 2cis(π/16), multiply the magnitudes and add the angles:
38cis(π/8) × 2cis(π/16) = (38×2)cis(π/8 +π/16) = 76cis(3π/16)
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In this context, a·cis(b) ≡ a(cos(b) +i·sin(b))
Answer:
x = 2±3sqrt(3)
Step-by-step explanation:
(x-2)^2/3=9
Multiply each side by 3
(x-2)^2/3 *3=9*3
(x-2)^2=27
Take the square root of each side
sqrt( (x-2)^2)=±sqrt(27)
x-2 = ±3sqrt(3)
Add 2 to each side
x = 2±3sqrt(3)
Hey there!
I'll assume we're using the slope-intercept form equation:
y = mx + b
m = slope
b = y-intercept
First, we keep the y, because it's value depends on the x value given.
Next, we find the slope. Slope is defined as rise/run, so we take two points on the graph, find how much taller one is from another, and how far right/left they are, put those values over each other, and we have out slope (m).
Finally, we need to determine the y-intercept, and that's as simple as seeing where the line crosses the y axis and writing down that value.
Hope this helps!
