Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=|2x−1|+3.
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Answer:
Step-by-step explanation:
<u>slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept
Given line: y= 2x +2
slope= 2
The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.
m(2)= -1
m= -1 ÷2
m= -½
Substitute the value of m into the equation:
y= -½x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= 3,
3= -½(4) +c
3= -2 +c
c= 3 +2
c= 5
Thus, the equation of the line is y= -½x +5.
The radian measures of the central angle of the sector is 2
Given,
In the question:
Perimeter of sector is 4 times of its radius .
To find the radian measures of the central angle of the sector is?
Now, According to the question:
We know:
The perimeter of the circumference is = 2r
If the perimeter of a sector is 4 times its radius.
then, the arc measure of the sector is (4r-2r) → 2r
So, if 2× radians (full circle) has a length → 2
r
X radians → 2× r (the sector)
X=2× r ×(2×)/(2
r)
X = 2
Hence, The radian measures of the central angle of the sector is 2.
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