The correct answer is x+b/a
f^{-1}(x)=\frac{x+b}{a}
Answer:
a reflection over the y-axis and then a translation 2 units right
a 180 Degrees rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis
a reflection over the x-axis and then a translation 2 units left
a reflection over the y-axis and then a translation 2 units left
Step-by-step explanation:
Answer:
The sequence is 14, 19, 24, 29, 34, 39.
Step-by-step explanation:
Let's call the common difference (the difference between two consecutive terms) as d. We see that the second term is 19 and the 5th term is 34 and since 5 - 2 = 3, we add d 3 times to 19 to get 34 so therefore:
19 + 3d = 34
3d = 15
d = 5 so the first term is 19 - 5 = 14, the third would be 19 + 5 = 24, the fourth would be 24 + 5 = 29 and the sixth would be 34 + 5 = 39.
<h3>
Answer: perpendicular</h3>
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Work Shown:
Use the slope formula to find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (f-0)/(e-0)
m = f/e
Let p = f/e so we can compare the slope later
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Use the slope formula to find the slope of line CD
m = (y2-y1)/(x2-x1)
m = (0-e)/(f-0)
m = -e/f
Let q = -e/f so we can compare the slope later
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We have
- p = f/e which is the slope of AB
- q = -e/f which is the slope of CD
Multiply the values of p and q
p*q = (f/e)*(-e/f) = (f(-e))/(ef) = (-ef)/(ef) = -1
since p*q = -1, this means the lines AB and CD are perpendicular. They form a 90 degree angle.
