Answer:
Parallel line:
Perpendicular line:
Step-by-step explanation:
we are given equation 4x+5y=19
Firstly, we will solve for y
we can change it into y=mx+b form
so,
Parallel line:
we know that slope of two parallel lines are always same
so,
Let's assume parallel line passes through (1,1)
now, we can find equation of line
we can plug values
now, we can solve for y
Perpendicular line:
we know that slope of perpendicular line is -1/m
so, we get slope as
Let's assume perpendicular line passes through (2,2)
now, we can find equation of line
we can plug values
now, we can solve for y
Answer:
3n^2 (9+25n)
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = 1/4 x²+bx+10
the derivate is : f'(x) = 1/2 x +b
you have : f'(6)=0
1/2 (6)+b=0
3+b =0
b = -3
so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1
f(x) = 1/4(x-6)²+1... the vertex form
Answer: 35
Step-by-step explanation:
Answer:
Last one at the bottom
Step-by-step explanation:
Recall that for a function to be valid, each input (x-value) must give exactly one unique output (y-value). If we find that any x-value gives more than one y-value, then it is not a function.
Option 1: x = 3 gives y = 2 and y = -2 (not a function)
Option 2: x = 5 gives y = 2 and y = 8 (not a function)
Option 3: x = 3 gives y = 4 and y = 5 (not a function)
Option 4: each x-value gives only one possible y-value (this is a function)
