-180 is the answer
explanation: order of operations
Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.
If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.
If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.
However, the area x*y must be constant and = 100.
We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.
We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.
So, the difference between the max and min values of x+y = 101 - 20 = 81.
Answer:
A.(-2, 0)
C. (-1.4)
Step-by-step explanation:
we know that
If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)
we have
subtract 7 both sides
divide by 2 both sides
Substitute the value of x and the value of y of each point in the linear equation and analyze the result
<u><em>Verify each point</em></u>
case A) we have
(-2, 0)
For x=-2, y=0
substitute
---> is true
so
the point lie on the line
case B) we have
(1, 3)
For x=1, y=3
substitute
---> is not true
so
the point not lie on the line
case C) we have
(-1, 4)
For x=-1, y=4
substitute
---> is true
so
the point lie on the line
case D) we have
(1, -4)
For x=1, y=-4
substitute
---> is not true
so
the point not lie on the line
case E) we have
(0, -1)
For x=0, y=-1
substitute
---> is not true
so
the point not lie on the line
Answer:
7x+54
Step-by-step explanation:
because you distribute the 7 to the x and the 8 first then you bring that down which becomes 7x+56 then you to the addition so you do 56+-2 which would give you 54.
Answer:
x=44
Step-by-step explanation:
For the two lines to be parallel, the two angles have to add to 180 degrees
45+3x+3 =180
Combine like terms
3x+48 = 180
Subtract 48 from each side
3x+48-48=180-48
3x=132
Divide each side by 3
3x/3 = 132/3
x =44
