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Nady [450]
3 years ago
6

On a trip to the art museum lily rode the subway for 7/10 mile and walked for 3/10 mile how much farther did she ride on the sub

way than walk?
Mathematics
2 answers:
Phantasy [73]3 years ago
8 0
4/10 simplest form 2/5 mile
zmey [24]3 years ago
7 0
4/10 Miles because 7/10 - 3/10 = 4/10
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Answer:

<em>The coordinates of the vertex are (-1,-4).</em>

Step-by-step explanation:

<u>Equation of the Quadratic Function </u>

The vertex form of the quadratic function has the following equation:

y-k=a(x-h)^2

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

We are given the function:

y=x^2+2x-3

We must transform the equation above by completing squares:

The first two terms can be completed to be the square of a binomial. Recall the identity:

x^2+2xy+y^2=(x+y)^2

Thus if we add and subtract 1:

y=(x^2+2x+1)-3-1

Operating:

y=(x^2+2x+1)-4

The trinomial in parentheses is a perfect square:

y=(x+1)^2-4

Adding 4:

y+4=(x+1)^2

Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).

The coordinates of the vertex are (-1,-4).

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