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kompoz [17]
4 years ago
10

The streets in Sachi's city are arranged in square blocks. Sachi left her house and walked 5 blocks east and 2 blocks north to J

im's house. She and Jim walked 1 block north, 3 blocks west and 2 blocks south to Bella's house. How far from Bella's house is Sachi's house?
Mathematics
1 answer:
Genrish500 [490]4 years ago
5 0
Sachi goes 5 blocks to the right(east) and 2 blocks up(north). From there, add 1 block up, and 3 blocks to the left(west). And then, 2 blocks down (south). So, we are left with: 
2 Blocks to the left (west) and 1 block down (south) to reach back to Sachi's house.
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vfiekz [6]
<h3>Axis of symmetry is 0 and vertex is (0, -1)</h3>

<em><u>Solution:</u></em>

<em><u>Given is:</u></em>

f(x) = 2x^2 - 1

We have to find the vertex and axis of symmetry

<em><u>The general equation is given as:</u></em>

f(x) = ax^2 + bx + c

Comparing with given equation,

a = 2

b = 0

c = -1

<em><u>The axis of symmetry is given as:</u></em>

x = \frac{-b}{2a}

x = \frac{0}{2(2)}\\\\x = 0

Thus axis of symmetry is 0

The x coordinate of the vertex is the same

x coordinate of the vertex = 0

h = 0

The y coordinate of the vertex is:

k = f(h)

k = f(0)

f(0) = 2(0) - 1\\\\f(0) = 0 - 1\\\\f(0) = -1

Thus, y coordinate of the vertex is -1

Therefore, vertex is (0, -1)

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