2.Brian is heading out for a steady early morning jog as one of his training runs for a marathon. He plans to jog

1 answer:

6 0

It would be 2.9 hours because you would add 4 of the 39 minute intervals together and for the last interval if Brian ran extra 2 miles which would be 20 miles. You would have to divide the 39 minute interval by 2 since he ran an extra 2 miles to get 19.5 minutes for him to get his last 2 miles for his 18 mile jog. Then add the 4 intervals of 39 minutes along with the 19.5 minutes to get you a total of 175.5 minutes and if you were to convert that to hours and minutes it would be 2 hours and 55 1/2 minutes so technically it would be 2.9 hours. To find the 2.9 you would divided 175.5 by 60 since there is 60 minutes an hour to get the answer 2.925 unrounded, but rounded it would get you the final answer 2.9 hours.

Final answer: 2.9 hours.

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Write the equation of an ellipse with a major axis of length 8 and co-vertices (0,3) and (0,-3)

alexandr1967 [171]

If the co-vertices are (0, 3) and (0, -3) where x is 0 and y has a value, then y is the minor axis. That means that the x axis is the major axis. Because of what the co-vertices are, the center of the ellipse is at the origin. The formula for an ellipse that has a horizontal major axis is $\frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2}=1$ . The a value will always be larger than the b value, therefore, the a value goes under the coordinate that is the major axis. Here, its the x-axis. a is the distance that the outer edge of the ellipse is from the center. It's 8 units away from the center along the x axis and 3 units along the y axis from the center. So a = 8 and a^2 = 64; b = 3 and b^2 = 9. Our formula then is $\frac{x^2}{64}+ \frac{y^2}{9}=1$