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1 answer:
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Answer:
B) m = -1 , x + y = 9
Step-by-step explanation:
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:
Step-by-step explanation:
To obtain the result of a fractions multiplication we need to multiply both numerators and the divide by the multiplication of the denomitators. In general, given a,b,c,d real numbers with b and d not zero, we have that
Substituting a,b,c and d for 8,15,2 and 13 we obtain that
<u>Answer:</u>
The hand moved of a complete turn.
<u>Step-by-step explanation:</u>
The hand moved from 3 to 12, that is, it moved:
12 - 3 = 9 hours
In a clock, 12 hours represent a complete turn.
∴ Using the unitary method:
12 hours ⇒ 1 turn
1 hour ⇒ turns
9 hours ⇒ × 9 =
= turns (simplified)
∴ The hand moved of a complete turn.