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olasank [31]
3 years ago
7

3.

Mathematics
1 answer:
artcher [175]3 years ago
7 0

Answer:

14 or 15

Step-by-step explanation:

14 squared is 196

15 squared is 225

I memorized these, my math tutor recommends to memorize the squares up to 20. :)

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Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he
Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, time=\frac{distance}{speed}

So, time for running= \frac{8}{x}

And time for riding= \frac{11}{x+9}

Equation becomes:

\frac{8}{x}+\frac{11}{x+9}=1.5

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Simplifying it we get

3x^{2}-11x-144=0

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x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=\frac{-16}{3}

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

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write and graph the equation of a line passing through point 1,3 that is parallel and perpendicular to the line with the equatio
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