Slope of f(x)
Slope of g(x)
PART A)
The slopes of f(x) and g(x) are the same.
PART B)
The equation for line f(x)
y = 4x + b
-1 = 4(0) + b
-1 = b
y = 4x - 1
The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.
Answer: C and E
Step-by-step explanation:
asymptotes are : x=4 and x=-1
Answer:
(51*31)/1 = 1581
Step-by-step explanation:
If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.