Answer:
its triangle shown in attached figure
Step-by-step explanation:
Graph is attached
Answer:
4.11 miles.
Step-by-step explanation:
In the image that I am going to attach we can see the description of the statement in a graph, now, the right triangle is formed, and we can apply Pythagoras, and the hypotenuse would be equal to:
(5 ^ 2 + x ^ 2) ^ (1/2)
The speed is equal to:
V = d / t, therefore the time is t = d / V, the total time would then be:
total time = (5 ^ 2 + x ^ 2) ^ (1/2) / 3 + (7-x) / 6
we derive with respect to x, and we are left with:
dt / dx = x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) - 1/6 = 0
x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) = 1/6
6x / (3 = (5 ^ 2 + x ^ 2) ^ (1/2)
(2 * x) ^ 2 = (5 ^ 2 + x ^ 2)
4 * x ^ 2 = 25 + x ^ 2
3 * x ^ 2 = 25
x ^ 2 = 25/3
x = 2.88
now we replace
7 - x = 7 - 2.89 = 4.11
In other words, the answer is 4.11 miles.
X is greater than or equal 23
Graph:< ___|_|_|_|_|_|_|_|______>
19 20 21 22 23
closed dot over 23 and line and arrow going to the right
Answer:
son age: X
man_age= 5X
in 3 years: we have: (man_age+3)(X+3)=380
we can replace the man age by 5X and we get :
(5X+3)(X+3)=380
it is a quadratic equation with 2 solutions. One negative and 7
The solution is thus 7, since age can not be negative.
The son is thus 7 and the dad 5 times more 35
Step-by-step explanation:
There are many solutions, and that's an understatement. There are actually an infinite number of solutions.