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Svetllana [295]
4 years ago
15

Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km per hour wh

ile the other traveled at 60 km per hour. After how many hours did they meet? If x represents the number of hours, which of the following equations could be used to solve the problem?
Mathematics
1 answer:
ale4655 [162]4 years ago
5 0
They met after (4 hours).
(60+65)*x=500<span />
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What is the distance between the two points (3,-3) and (6,1)
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Answer:

Distance between the points (3,-3) \\\\ and (6,1)= 25

Step-by-step explanation:

The distance between two points in coordinate geometry can be find by using Distance formula.

If two points (x_1,y_1)\\ and (x_2,y_2) are given then:

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For points (3,-3) \\\\ and (6,1)

Distance=

               =\sqrt{(6-3)^2+(1-(-3))^2} \\\\=\sqrt{(6-3)^2+(1+3)^2} \\\\=\sqrt{3^2+4^2}\\\\=\sqrt{9+16}\\\\=\sqrt{25}\\\\=5

The distance between the points is 25

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If we try to evaluate this expression, we arrive at an indeterminate limit of the form ∞ · 0. So we rewrite this limit as
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This results in an determinate form of 0/0, so we apply L'Hospital's rule by differentiating the numerator and denominator.
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Multiply the numerator and denominator by x^4
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Since e^(-x/5) approaches 0 as x→∞, the limit evaluates to 0.
The answer to this question is 0.
7 0
3 years ago
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