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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:
7 : 14, or simplified, 1 : 2
Step-by-step explanation:
Answer:
y = -5x - 17
Step-by-step explanation:
Linear equations, or lines, that are perpendicular to each other have opposite reciprocals for the value of slope. For the given line, y = 1/5x - 2, the slope is 1/5 and the opposite reciprocal is -5.
Given the value of the slope and a given point on the second line, you can solve for 'b':
y = mx + b
8 = (-5)(-5) + b
8 = 25 + b
-17 = b
y = -5x - 17
Answer:
x = - 15
Step-by-step explanation:
Given
+ 3 = x - 2
Multiply through by 3 to clear the fraction
4x + 9 = 3x - 6 ( subtract 3x from both sides )
x + 9 = - 6 ( subtract 9 from both sides )
x = - 15
