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vodomira [7]
4 years ago
5

Niki uses 15 litres of water every minute when she has a shower.

Mathematics
1 answer:
MAXImum [283]4 years ago
6 0
15 litres per minute times three minutes is 45 litres for three minutes, and half a minute's worth of water in the shower is 7 1/2 (half of 15). 45+7 1/2= 52 1/2 litres of water.<span>The difference between 100 and 52 1/2 is 47 1/2, which is our final answer.</span>
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Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
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Step-by-step explanation:

If the parabola has the form

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then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

\text{focus} = (h, k +\frac{1}{4a})

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f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6

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3 years ago
On Monday, 351 students went on a trip to the zoo. All 7 buses were filled and 8 students had to travel in cars. How many studen
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Answer:

49

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➷ Substitute in the value:

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Answer:

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Step-by-step explanation:

Given equation of the circle is x^2 + y^2 = 4.

Now we need to find the radius of the given circle x^2 + y^2 = 4.

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