Answer:
Distributive
Step-by-step explanation:
when you distribute 3 to x, 3y, and 5, you get 3x+9y+15, which is equivalent to the other expression when you simplify it
Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.
The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.
Putting the two together, the midpoint of the segment WT has the coordinates (-10, -5.5).
For this case we have the following functions:
By definition of composition of functions we have:
Then substituting:
So:
Answer:
Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
Answer:
5 pounds
Step-by-step explanation:
