Answer:
x = 3
Step-by-step explanation:
we can use the Pythagorean theorem to solve this problem
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
x = +/- 3
we take only the positive value because a length can‘t be negative
x = 3
9514 1404 393
Answer:
- 30m +50 = 20m +100
- m = 5
- yes. symmetric property of equality.
Step-by-step explanation:
1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...
c = 20m +100
gives you ...
30m +50 = 20m +100
__
2. Adding -50-20m to both sides gives ...
10m = 50
m = 5 . . . . . . . divide by 10
__
3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...
c = 30m +50
to get ...
20m +100 = 30m +50
This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).
You get the same solution.
Answer:
Step-by-step explanation:
Combine Like Terms:
Therefore, 
will be your final answer.
Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : 
. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:
Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:
Now we solve for 
in this last equation and make the substitution in the equation for car A:
So this is the speed of both cars: 0.625 miles/minute
