1st box is 28, 2nd box is 42!! If you need an explanation you can message me:-)
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.
Answer:
55
Step-by-step explanation:
Answer: x=-4, y=-7
Problem:
4x-6y = 26
5x-4y=8
You can use substitution or elimination to solve the problem. I’m going to use elimination.
Multiply by -2 => -8x+12y = -52
Multiply by 3 => 15x- 12y = 24
Add those equations together:
7x=-28
x=-4
Plug that into one of the original equations to get y.
4(-4)-6y=26
-16 - 6y=26
-6y=42
y=-7
Check for the other equation to see if this is true. Which in this case it is. So that’s your answer. x=-4, y=-7
Answer:
d = 5
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = a₂ - a₁ = a₃ - a₂ =
- 
Given
= 5n - 3
Generate the first 2 terms of the sequence by substituting n = 1, n = 2
a₁ = 5(1) - 3 = 5 - 3 = 2
a₂ = 5(2) - 3 = 10 - 3 = 7
d = 7 - 2 = 5