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Aliun [14]
3 years ago
6

One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

egs. How many humans and horses were there?
Mathematics
1 answer:
Kazeer [188]3 years ago
6 0
You have two unknowns - the number of people (P) and the number of horses (H). You can set up two equations to solve for these two unknowns. Every person and every horse has 1 head, so:

P+H=74

Also, every person has 2 legs but every horse has 4 legs, so:

2P+4H=196

We can now solve by rearranging the first equation (H = 74 - P), and subbing that value into the second equation:


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The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

If y = 2\cdot x + 3 is a line <em>tangent</em> to the parabola y = c\cdot x^{2}, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

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The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

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