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Ksenya-84 [330]
3 years ago
8

a metal rod 9.4 meters long is cut into two piecew. One piece is 3 times as long as the other m. find the length of the longer p

iece in meters. round your answer to the nearest tenth of a meter.
Mathematics
1 answer:
Grace [21]3 years ago
8 0
x-shorter\ piece\\3x-longer\ piece\\\\x+3x=9.4\\4x=9.4\ \ \ \ \ |:4\\x=2.35\\\\3\cdot2.35=7.05\approx7.1\\\\The\ longer\ piece\ has\ 7.1\ meters
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Answer:

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Step-by-step explanation:

A quadratic function in vertex form is f(x)=a(x-h)^2+k where (h,k) is the vertex.

We are given h=1,k=-3.

Let's plug that in:

f(x)=a(x-1)^2-3.

Now let's find a.

We will use the y-intercept (0,-2) to find a.

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So the function in vertex form is:

f(x)=(x-1)^2-3.

In standard form, we will have to multiply and combine any like terms.

Let's do that:

f(x)=(x-1)(x-1)-3

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Answer:

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