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ivolga24 [154]
3 years ago
8

Ok so I have the question and answer but need to be explained why the answer works.

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0
As you know the directrix and focus. so first of all find the distance 'a.f' shown in the figure. now find the location of the mid point of the line 'a.f' because it's the vertex. half the distance to get the focal length 'a'. now put all the values in the equation given to get the equation of required parabola.

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A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a
dolphi86 [110]

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties.  The difference is   (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

       1/6  =  5/30

     1/10  =  3/30 .

So in every hour,  5/30 of the pool fills, and  3/30 of the pool empties.
The result of both at the same time is that  2/30 = 1/15  fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.


If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours.  With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted. 

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week.  I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.


6 0
3 years ago
How can you tell when an equation in one variable has infinitely many solutions or no solution?
Masteriza [31]

Answer:

A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.

6 0
3 years ago
The equation of a best fit line is y = 6x + 9. Predict a value for y when x = 4. Type your answer in the space provided. Do not
MrMuchimi

Answer:

y=33

Step-by-step explanation:

we have

y = 6x + 9

Remember that

To predict a value for y, when x = 4

substitute the value of x in the equation

so

y= 6(4) + 9=24+9=33

6 0
3 years ago
Read 2 more answers
Question 3
matrenka [14]

Answer:

about 5 boxes

Step-by-step explanation:

2 *40/15 Please give brainliest

6 0
3 years ago
Read 2 more answers
Jimmy goes for a run with his friends on the weekend. They run 11km in 5 hours. How long
zheka24 [161]
11km = 5h
1km = 5h divide by 11km = 0.45h
16.5km = 0.45 x 16.5 = 7.42 h
7 0
3 years ago
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