Answer: See Below
Step-by-step explanation:
Line equation is y = ax +b. We need to solve for a and b
First we will solve for the slope (a)
Given that it is perpendicular to 2x - 6y = 12, we know that our slope a is the negative reciprocal of the slope of this line. Lets put this line in point-slope format.
2x - 6y = 12
-6y = -2x + 12
y = (1/3)x - 2
This line has a slope of 1/3 so our slope is the negative reciprocal of that. Our slope is -3
We can plug that slope into our line equation in place of a
y = -3x + b
Now we can plug in (3,6) to solve for b
y = -3x + b
6 = -3(3) + b
6 = -9 + b
15 = b
Therefore our line equation is:
y = -3x + 15
Answer:
6 < x < 51
Step-by-step explanation:
An acute angle has a measure between 0 and 90 degrees:
0 < 2x -12 < 90
12 < 2x < 102 . . . . . add 12
6 < x < 51 . . . . . . . . divide by 2
Possible values of x are between 6 and 51.
Answer:
y = 7
Step-by-step explanation:
y = 0x + b
7 = 0(-2) + b
7 = b
y = 7
If it costs her [ 37x + 20 ] to be a member of the gym for 'x' months,
that means that it cost her 20 at the beginning just to sign up, before
any time went by, and then another 37 every month after that.