Answer:
Step-by-step explanation:
We have been given an image of a line segment and we are asked to find the equation of perpendicular bisector of our given line segment in slope-intercept form.
Since we know that the slope of perpendicular line to a given line is negative reciprocal of the slope of the given line.
Let us find the slope of our given line using slope formula.
, where,
= Difference between two y-coordinates,
= Difference between two x-coordinates of same y-coordinates.
Upon substituting the coordinates of points (2,4) and (4,-2) in slope formula we will get,
Now we will find negative reciprocal of 
to get the slope of perpendicular line.
Since point (3,1) lies on the perpendicular line, so we will substitute coordinates of point (3,1) in slope-intercept form of equation 
.
Therefore, the equation of perpendicular line will be 
and option A is the correct choice.
Answer:
The ordered pair solution is (-2,2)
Step-by-step explanation:
Here, we want to get the ordered pair solution to the system of linear equations
From the first equation, we can have it that;
-2x = 16-6y
Now, we can substitute this into the second equation as follows;
From; -4x -3y = 2
2(-2x) - 3y = 2
2(16-6y) - 3y = 2
32 - 12y - 3y = 2
32-15y = 2
-15y = 2-32
-15y = -30
y = -30/-15
y = 2
Recall;
-2x + 6y = 16
substitute for the value of y
-2x + 6(2) = 16
-2x + 12 = 16
-2x = 16-12
-2x = 4
x = 4/-2
x = -2
The answer is B. Once you combine the two amounts consumed (which you’d put them in like terms and reduce) you’d subtract the sum from 3
There for
1 1/4 = 1 2/8
1 2/8+7/8 = 1 9/8
1 9/8 = 2 1/8
2 1/8 is the sum of the amount consumed there for,
3- 2 1/8 = 7/8
If you solved with A you would essentially be adding a initial quart of 3 and 1 1 1/4 which assumes you added milk then drank 7/8 of a quart, C assumes you don’t consume any and you have 1 1/4 and 7/8 quarts of milk above the 3 quarts and D would leave you with 1.125 or 1 1/8 there for it is also incorrect.
Answer:
D-2
Step-by-step explanation:
You can use elimination to get the value of y. Move numbers to one side and x and ys to the other side. To use elimination, multiply the first equation with 2. You will get 2x+2y=24. add it with the equation below. y will be eliminated and you will get the value of x. X=10. Plug in x and get the y value. Y=2
