Answer:
4 hours
Step-by-step explanation:
Given
Car 1:
Car 2:
--- i.e. 2 hours after car 1
Required
Determine the time car 1 will meet car 2
To do this, we calculate the distance of both cars using:
For Car 1:
For Car 2:
Open bracket
When car 2 meets up with car 1, they are at the same distance.
So:
Collect Like Terms
Solve for h
<em>Car 2 will catch car 1; 4 hours from the start</em>
9514 1404 393
Answer:
- 6x +y = -6
- 6x -y = 8
- 5x +y = 13
Step-by-step explanation:
To rewrite these equations from point-slope form to standard form, you can do the following:
- eliminate parentheses
- subtract the x-term
- subtract the constant on the left
- if the coefficient of x is negative, multiply by -1
Of course, any operation you do must be done <em>to both sides of the equation</em>.
__
1. y -6 = -6(x +2)
y -6 = -6x -12 . . . . . eliminate parentheses
6x +y -6 = -12 . . . . . add 6x
6x +y = -6 . . . . . . . . add 6
__
2. y +2 = 6(x -1)
y +2 = 6x -6
-6x +y +2 = -6
-6x +y = -8
6x -y = 8 . . . . . . . . multiply by -1
__
3. y -3 = -5(x -2)
y -3 = -5x +10
5x +y -3 = 10
5x +y = 13
_____
<em>Additional comment</em>
The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.
Cost of dried fruit per pound=2.5 $/pound
cost of nuts per pound =2 $/pound
total cost=225$ =cost of dried fruit +total cost of nuts
To find the cost of dried fruit we need to multiply cost of dried fruit per pound and the number of bounds hence 2.5 x where x is the number of bounds
which is the total cost of dried fruit and consequently 2y is total cost of nuts where y is the weight of nuts in pound
The cube is 512 btw I’m getting free points squeeze
