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Amiraneli [1.4K]
2 years ago
6

The directrix and focus of a parabola are shown on the graph. Which is an equation for the parabola?

Mathematics
2 answers:
Soloha48 [4]2 years ago
7 0
The answers is x=-3……….
raketka [301]2 years ago
4 0
So we know the focus and deritrix, so plug it into the distance formula

Square root all (x - 1)^2 (y- 3)^2 = (x + 5)^2 just do some algebra you will get x^2 -2x + 1 + y^2 - 6y + 9 = x^2 + 10x + 25, simplified you will get -12x - 15 = 6y - y^2. I’m pretty sure the answer is c
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Find the average rate of change of the function over the given interval.
Minchanka [31]

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

\frac{f(5.1)-f(5)}{5.1 - 5} = \frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

6 0
3 years ago
3x - 3y = 9 and x + 3y = 12 <br> Elimination
Firlakuza [10]

Answer:

x=5.25,y=2.25

Step-by-step explanation:

We can add the two equations to eliminate the variable y and solve for x:

3x-3y+x+3y=9+12

4x=21

x=5.25

Now, we can use substitution to solve for y:

x+3y=12 (given)

5.25+3y=12

3y=12-5.25

=6.75

y=2.25

Hope this helps :)

8 0
3 years ago
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