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Ira Lisetskai [31]
2 years ago
8

Find the equation of the parabola with a focus at the point (2,5), and a directrix of y = 3.​

Mathematics
1 answer:
Nataliya [291]2 years ago
8 0

Answer:

1,3

Step-by-step explanation:

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Solve the following systems by Elimination
Alenkasestr [34]

Answer:

The solutions for both system of equations are as follows:

  1. (5,2)
  2. (2,-1)

Step-by-step explanation:

The first set of equations is:

4x+6y=32\\3x-6y=3\\

It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations

So adding both equations, we get

4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5

Putting x=5 in equation 1

4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2

The solution is (5,2)

The second set of simultaneous equations is:

-3x+5y=-113x+7y=-1

We can see that the coefficients of x in both equations are same in magnitude with opposite signs so

Adding both equations

-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1

Putting y= -1 in first equation

-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2

The solution is: (2,-1)

Hence,

The solutions for both system of equations are as follows:

  1. (5,2)
  2. (2,-1)
3 0
2 years ago
YOO HELPPPPP PPPPLLLLLLLLEAAAAASSSSSEEEEE AND HURRY!!!
Tomtit [17]

Answer:

I think it's 1.

5 0
2 years ago
What ratios are equivalent<br> to 3/5
barxatty [35]
The given ratios 3: 5 and 15: 25 are equal. Because when you divide the ratio 15: 25 by 5 on both numerator and denominator, the first ratio 3: 5 can be obtained. Similarly, when you multiply the first ratio 3: 5 by 5, the ratio 15: 25 can be obtained.
5 0
3 years ago
What is the solution to the equation <br><br> 7(3-x)=-7(x+3)-4
marissa [1.9K]

Answer:

No solution

Step-by-step explanation:

21−7x=−7x−21−4

21−7x=−7x−25

21=−25

No solution

4 0
3 years ago
This is done in for parts (separated by letter)
lord [1]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
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