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Katarina [22]
4 years ago
9

Anybody know the answer?

Mathematics
1 answer:
Darya [45]4 years ago
8 0

Sure.  We see all three right triangles are similar since each has corresponding congruent angles.  We can think of them as all having a common three way ratio:

short leg : long leg : hypotenuse

In the smallest triangle the short leg is a+5 and the long leg is 12.

In the medium triangle the short leg is 12 and the long leg is 18

So the relevant ratio is

(a+5) / 12 = 12 / 18

a+5 = 12 × 2/3

a = 8 - 5

a = 3

Answer: A. 3

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ladessa [460]

Answer:

y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}

Step-by-step explanation:

We need to write a quadratic equation so we can use standard quadratic equation:

y=ax^2+bx+c

Plug the given points to get three equations.

for (7,4), we plug x=7 and y=4

4=a(7)^2+b(7)+c

4=49a+7b+c ...(i)

similarly using other two points, we get:

1=4a-2b+c ...(ii)

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Now we solve those three equations by any method like substitution, or matrices or by any method and get:

a=-\frac{7}{18},\ b=\frac{41}{18},\ c=\frac{64}{9}

Now plug these values into y=ax^2+bx+c, we get final equation as:

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