Answer:
Step-by-step explanation:
Let points D, E and F have coordinates 
and 
1. Midpoint M of segment DF has coordinates
2. Midpoint N of segment EF has coordinates
3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.
Step 1: Read and understand the problem statement.
You are given (time, depth) pairs of (20 s, 8 cm) and (40 s, 0 cm) and asked to write an equation that describes the relationship of depth (y) to time (x).
The rate of change is (0 cm -8 cm)/(40 s -20 s) = -8 cm/(20 s) = -2/5 cm/s. Then in point-slope form using the second point, the linear function rule is
y = (-2/5)(x -40) +0
You can expand this to
y = (-2/5)x +16
y = -0.4x +16 . . . . . . using a decimal number for the slope
_____
If the bathtubs in your "draining race" start with the same level, the one with the steepest slope (-0.5 cm/s) will win.
Answer:
Hi there!
Your answer is:
x= 18
Step-by-step explanation:
3x+70=8x-20
Isolate x on left side
3x+70=8x-20
-8x -8x
-5x +70 = -20
Isolate whole numbers on right side
-5x +70 = -20
-70 -70
-5x = -90
Isolate x by dividing both sides by -5
-5x = -90
/-5
x= 18
First let's make both the miles and the hours ran improper fractions:
So, to find our miles per hour, we have to divide the miles by the hours to get: 
