Answer:
A) 
Step-by-step explanation:
Hi there!
The given equations are written in point-slope form:
where <em>m</em> is the slope of the line and
is a point that falls on the line
Notice how the line is travelling infinitely down as x increases. This means that the slope is negative.
Therefore, the equation of the line is either A or B.
Now, let's look at A:

This equation suggests that the point (4,-7) falls on the line, which it does.
Therefore, the equation of the graph is
.
I hope this helps!
Answer:
x= 7, y= -7 or (7, -7)
Step-by-step explanation:
3x-y=28
3x+y=14
because the y is opposite of each other in both equations you can cancel them out
3x=28
3x=14
next you add 3x to 3x, then 28 to 14 and get...
6x=42
next divide both sides by 6 and you get your answer for x...
x=7
now you must solve for y and you do this by substituting what you found for x in one equation it doesn't matter which because you'll get the same answer but you can check for both to make sure...
3(7)+y=14
21+y=14
y=-21+14
y=-7
Answer:
All real numbers greater than or equal to 4,999.85 millimeters and less than or equal to 5,000.15 millimeters
Step-by-step explanation:
Let
x -----> values for the center thickness of the lens
we know that
The absolute value that represent this problem is

Solve the absolute value
First case (positive)

Adds 5,000 both sides


Second case (negative)

Multiply by -1 both sides

Adds 5,000 both sides


therefore
The extreme acceptable values for the center thickness of the lens is the interval [4,999.85,5,000.15]
All real numbers greater than or equal to 4,999.85 millimeters and less than or equal to 5,000.15 millimeters
The answer as a decimal is 0.32