1) Parallel lines have the same slope, so the answer is 1/2
2) Perpendicular lines have slopes that are negative reciprocals, so the answer is -2
3) The equation of the perpendicular is y = -2x - 6, so a point is (0, -6)
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer:
D. 3
Step-by-step explanation:
If the ratio of their sides is 4:1, and if PQ=12 inches, then Ab=12/4=3 inches.
Sum of angles In all triangles are 180....line DAC is horizontal and therefore is 180 degrees ....so minus 180 degrees from 105 and you get 75 degrees....and since the sum of all angles in a triangle is 180...add 75 and 67 which would be 142 degrees ...then minus 142 from 180 degrees to get 38 degrees for x
slope = (y2-y1)/(x2-x1)
= (2--1)/(5-1)
= (2+1)/(4)
=3/4
The point slope from of a line is
y-y1 = m(x-x1)
y--1 = 3/4 (x-1)
y+1 = 3/4 (x-1)
