Another way to solve this is to use the Midpoint Formula. The midpoint of a segment joining points
and
is
So the midpoint of your segment is
Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.
Answer:
x-35>15
x>15+35
x>50
Answer:
the statement shows the inverse property of addition as the sum of a number and its inverse is zero.
Step-by-step explanation:
As we know that Inverse Property of Addition states if you add any number to its opposite, the result will be zero.
For example, 13 + (-13) = 0 shows that -13 is the additive inverse of 13.
In other words, the sum of a number and its inverse is zero.
Now checking from the available options,
Thus,
Therefore, the statement shows the inverse property of addition as the sum of a number and its inverse is zero.
Graph A
it shows two points for each x, meaning its not a function.
Answer:
C. 20 feet
Step-by-step explanation:
Let x = width
Let y = length
If the length is at least 10 feet longer than the width:
⇒ x + 10 ≤ y
⇒ x ≤ y - 10
If the perimeter is to be no more than 100 ft:
⇒ 2x + 2y ≤ 100
⇒ x + y ≤ 50
⇒ x ≤ 50 - y
Equate the equations for x and solve for y:
⇒ y - 10 = 50 - y
⇒ 2y = 60
⇒ y = 30
Substitute found value of y into one of the inequalities for x:
⇒ x ≤ 30 - 10
⇒ x ≤ 20
Therefore, the maximum possible width of the fence is 20 feet.
