Answer:
2.4 cm
Step-by-step explanation:
We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.
Let's find the midpoint of AB.
- Segment AB: 10 cm
- Midpoint of AB: 10/2 = 5 cm
Next let's find the midpoint of BC.
- Segment BC: 5.2 cm
- Midpoint of BC: 5.2/2 = 2.6 cm
In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.
Therefore, the difference between the midpoints of AB and BC is 2.4 cm.
slope = (6 - 1)/(-2 - 1) = 5/-3 = -5/3
Equation
y - 6 = -5/3 (x + 2)
Hope it helps
You’re gonna do 3500X3X3 = 31500
Answer:
x = 1
y = 5
z = 2
Step-by-step explanation:
System of equations:
6x - 2y + z = -2
2x + 3y - 3z = 11
x + 6y = 31
Isolate one variable in any of the equations:
x + 6y = 31
x = 31 - 6y
Plug in this value for x in another equation:
6(31 - 6y) - 2y + z = -2
186 - 36y - 2y + z = -2
186 - 38y + z = -2
-38y + z = -188
z = -188 + 38y
Plug in these values in the remaining equation:
2(31 - 6y) + 3y - 3(-188 + 38y) = 11
62 - 12y + 3y + 564 - 114y = 11
626 - 12y + 3y - 114y = 11
626 - 9y - 114y = 11
626 - 123y = 11
-123y = -615
y = 5
Plug in value of y into our other answers to solve for x and z:
x = 31 - 6(5)
x = 31 - 30
x = 1
z = -188 + 38(5)
z = -188 + 190
z = 2
Check your work:
6x - 2y + z = -2
6(1) - 2(5) + 2 = -2
6 - 10 + 2 = -2
-4 + 2 = -2
-2 = -2
Correct!
*Note there are several ways to solve for these types of problems. I used substitution*
There isn't enough information to know the relation between x and y or even know the slope
