The standard equation for an ellipse is
where
(h,k) = coordinates of the center
a, b = semi-major and semi-minor axes
Refer to the figure shown below.
The center of the ellipse is at (0,0).
Therefore, h=0, k=0.
One focus is at (12, 0)
Therefore
c = 12
One directrix is at 14 1/12 = 169/12.
Because the directrix is located at x = a²/c, therefore
a²/12 = 169/12
a² = 169/144
a = 13
Because c² = a² - b², obtain
b² = a² - c²
= 169 - 144 = 25
b = 5
Answer:
The equation for the ellipse is
Answer:
the estimated answer is B: 2.50.
<em>(</em><em>the</em><em> </em><em>exact</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>2</em><em>.</em><em>4</em><em>8</em><em>,</em><em> </em><em>but</em><em> </em><em>rounding</em><em> </em><em>up</em><em> </em><em>would</em><em> </em><em>make</em><em> </em><em>it</em><em> </em><em>2</em><em>.</em><em>5</em><em>0</em><em>)</em>
Answer:c -3/4pi
Step-by-step explanation:
it’s right
Answer:
7.5 hours
Step-by-step explanation:
Time is inversely proportional to speed for the same distance. The bus speed is 40/50 = 4/5 of the car speed, so it will take 5/4 as long.
(5/4)·(6 h) = 7.5 h
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If you like, you can use the relations ...
distance = speed × time
time = distance/speed
to compute the distance between A and B, then the time at the lower speed:
distance = (6 h) × (50 mi/h) = 300 mi
time = (300 mi)/(40 mi/h) = 30/4 h = 7.5 h