Convert 20 min to hrs: 20/60 = 1/3 hr
Let t = time on the bikethent-(1/3) = time on the bus
Write a dist equation Dist = speed * time:Bike dist + bus dist = 26 mi6t + 30[t-(1/3)] = 26:6t + 30t - 10 = 2636t = 26 + 1036t = 36t = 1 hr on the bike
6 mph for 1 h = 6 mi from house to the bus station
Check solution by finding the distance6(1) + 30(2/3) =6 + 20 = 26 mi
Answer:
2 and 3
Step-by-step explanation:
2 because integers are counting numbers (1,2,3,...) zero, and their opposites ( 1 and -1). 3 because a rational number is any number can be written is the form a/b where a and b are integers but b is not 0 ( i can explain this further) or is a decimal that either ends or has a repeated pattern
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
-
, where
and
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴
and 
∴
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
5
Step-by-step explanation:
We have an equation and are asked to find the input of x when y = 7.
The output = y = 7
The input = x
7 = 2x - 3
2x - 3 = 7
We need to find a number that multiplied by 2 which then is subtracted by 3 equals 7. We can use the backwards method to solve our answer.
2x - 3 = 7
7 + 3 = 2x
10 = 2x
Solve for x by dividing 2 from both sides :
x = 5.
Therefore, you would need an input of 5 to get 7 as the output.
Proof :
2(5) - 3 = 7
10 - 3 = 7
The graph of f(x) = g(x) would be the same as y = x graph ...
Where slope is 1 and the vertex is (0,0)