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2 years ago

10

In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.What is the lar

gest possible number of students in that class?

1 answer:

djverab [1.8K]2 years ago

6 0

Answer:

32

Step-by-step explanation:

n(G or F) = n(G) + n(F) - n(G and F)

Total will be the greatest when the intersection is empty

Largest number = 15 + 17 = 32

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$\text{we know that the general equation of the circle is }\\
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(x-h)^2+(y-k)^2=r^2\\
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\text{where, (h,k) is the center of the circle and r is the radius.}\\
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\text{Given that the centered of the circle is at }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
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\text{so the radius of the circle will be the distance between center and the }$

$\text{solution point. so using the distance formula, we have}\\
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\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
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