Compare each set of rational numbers.
1 answer:
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An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the varying radian measure of the angle.
a. if the terminal ray of the angle passes through the point(3.38,2.32), whta is the slope of the terminal ray of the angle?
b. if the terminal ray of the angle passes through the point(1.49,3.82), whta is the slope of the terminal ray of the angle?
c. if the terminal ray of the angle passes through the point(1.1,3.95), what is the slope of the terminal ray of the angle?
Answer:
a. 1.45
b. 2.56
c. 3.59
Step-by-step explanation:
As we know that formula to find the slope is change in y-coordinates divided by change in x-coordinates.
It is given that initial point is (x1,y1)=(0,0)
Part(a)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(3.38,2.32)
so the slope of the terminal ray is
Part(b)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(1.49,3.82)
so the slope of the terminal ray is
Part(c)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(1.1,3.95)
so the slope of the terminal ray is
Answer:
12x +8y +1 = 0
Step-by-step explanation:
You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:
3(x-(-3/4)) +2(y -1) = 0
3x +9/4 +2y -2 = 0 . . . . eliminate parentheses
3x +2y +1/4 = 0 . . . . . . . simplify
To eliminate the fraction, multiply by 4:
12x +8y +1 = 0
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<em>Comment on the equation</em>
The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.
The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.
