${x}^{2} - 4x + 5 = 0 \\ {x}^{2} - 4x = - 5 \\ \\ { (\frac{b}{2} )}^{2} = ( \frac{ - 4}{2} ) = ( { - 2})^{2} = 4 \\ {x}^{2} - 4x + 4 = - 5 + 4 \\ {(x - 2)}^{2} = - 1 \\ {(x - 2)}^{2} + 1$
The last line is in vertex form, and can see the vertex is located at (2,1).

8 0

2 years ago

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A cheetah ran 230 feet in 1.932 seconds. What is the cheetah's speed in miles per hour?

Bumek [7]

Answer:

The answer to your question is speed = 81.5 mi/h

Step-by-step explanation:

Data

distance = 230 ft

time = 1.932 s

speed = ? mi/h

Process

1.- Convert the distance to mi

1 mile ----------------- 5280 ft

x ----------------- 230 ft

x = (230 x 1) / 5280

x = 0.044 mi

2.- Convert time to hours

1 h ------------------ 3600 s

x ------------------ 1.932 s

x = (1.932 x 1) / 3600

x = 0.00054 h

3.- Calculate the speed

speed = distance / time

-Substitution

speed = 0.044/ 0.00054

-Result

speed = 81.5 mi/h

4 0

3 years ago