Answer:
y=120-4x
Step-by-step explanation:
Here we are given the average speed for Day 1 and Day 2 and the time of ride . We asked to Find an expression to determine the total distance travelled in two days.
Day 1 :
Avg Speed = 8 mph
Let the time for travelling = x hrs
Hence Distace Travelled D1= Speed x Time
D1=8x
Day 2 :
Avg Speed = 12 mph
Total time of travelling for two days is given as 10 hours . Hence the time of travelling for day 2 is
= (10-x) hrs
Hence Distance travelled in Day 2 D2 = speed x time
D2 = 12(10-x)
D2=120-12x
Total Distance travelled = D1 + D2
= 8x+120-12x
=120-4x
If the total distance travelled is denoted by y
The expression will be
y=120-4x
Answer:
n=12
Step-by-step explanation:
5/6n=10
*6 *6
5n=60
n=12
If 5x - 17 ≥ 0, then |5x - 17| = 5x - 17 and the equation reduces to
-8 - 2 (5x - 17) = -14
-8 - 10x + 34 = -14
-10x = -40
x = 4
If 5x - 17 < 0, then |5x - 17| = -(5x - 17) = -5x + 17 and we have
-8 - 2 (-5x + 17) = -14
-8 + 10x - 34 = -14
10x = 28
x = 2.8
Answer:
slope (m) = 0.75
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
3
= 0.33333333333333
θ =
arctan( ΔY ) + 180°
ΔX
= 198.43494882292°
ΔX = -4 – 2 = -6
ΔY = 3 – 5 = -2
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = 0.33333333333333x + 4.3333333333333
or
y =
1 x
3
+ 13
3
When x=0, y = 4.3333333333333
When y=0, x = -13
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