Answer:

Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.


This is the equation of the line perpendicular to the equation given that crosses through (-2,3).
There are 4! = 24 poosible permutations of the four letters. Let the letters be A, B, C and D. Two permutations will have only letter A in the correct envelope, two more permutations will have only letter B in the correct envelope, two more will have only letter C in the correct envelope and two more will have only letter D in the correct envelope. Therefore 8 out of the 24 possible permutations will have only one letter with the correct address. The required probability is 8/24 = 1/3.
Answer:
x intercept ( -40,0)
y intercept ( 0,15)
Step-by-step explanation:
The x intercept is where it crosses the x axis. The y value is zero
(-40,0)
The y intercept is where it crosses the y axis. The x value is zero
(0,15)
Answer:
103
Step-by-step explanation:
