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Alex17521 [72]
3 years ago
9

What are the answers to these???

Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

10. 30km

11. 288km

12. 99km

Step-by-step explanation:

If 1cm=12km, just take the amount of cm and multiply by 12km.

For example, 2.5x12=30, and 24x12=288.

I hope this helps :)

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
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Answer:

The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)

Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

h=(3+3)/2→h=6/2→h=3

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Vertex: V=(h,k)→V=(3,3)

p=yf-k→p=1-3→p=-2

Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

f(x)=[ 1 / (-8) ] (x-3)^2 + 3

f(x)= - (1/8) (x-3)^2 + 3

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