What is 10.4 as a mixed number in simplest form?
2 answers:
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It is b. Y=8. Steps are in picture.
Answer:
A. a parabola that opens down.
Step-by-step explanation:
First we can eliminate two answers, b and d, since parabalas that open left or right use the y variable.
Now the equation of a standard parabola is x². This means that there are no negative y values, and therefore it cannot open down, it is up.
With a NEGATIVE coefficient, the graph is flipped over the x axis, therefore making it open down.
Graphical proof is attached for further understanding, positive a is in red, negative a is in blue.
First, we are going to use the formula of the circumference of a circle: 
where
is the circumference of the circle.
is the radius of the circle.
We know for our problem that the diameter of Ubehebe Crater is 1 mile. Since the radius of a circle is half its diameter, the radius of our crater will be:
. Lets replace that value in our formula:
miles
Next, we are going to use the distance speed time formula:
where
is time
is distance
is speed
We know for our problem that Latisha walks around its rim at a rate of 2 miles per hour, so her speed is 2 mph; therefore,
. We also know for our previous calculation that the circumference of the crater is 3.14 miles, so 
. Lets replace those values in our formula to find :
hours
We can conclude that it will take Latisha 1.6 hours <span>to walk all the way around the crater.</span>
where
We know for our problem that the diameter of Ubehebe Crater is 1 mile. Since the radius of a circle is half its diameter, the radius of our crater will be:
Next, we are going to use the distance speed time formula:
where
We know for our problem that Latisha walks around its rim at a rate of 2 miles per hour, so her speed is 2 mph; therefore,
We can conclude that it will take Latisha 1.6 hours <span>to walk all the way around the crater.</span>