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denis-greek [22]
3 years ago
14

The equation of a parabola is given.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

Directrix equation:  y = 11/2

y = k - c = 6 - 1/2 = 11/2

Step-by-step explanation:

y=(1/2) x^2+6x+24

factor this

y =  (1/2)* [  x^2  + 12x  ]  +  24

y =  (1/2)* [  x^2  + 12x  + 36  -  36]  +  24

y =  (1/2)* [  (x + 6)^2  -  36]  +  24

y =  (1/2)*   (x + 6)^2  - 18 +  24

y =  (1/2)*   (x + 6)^2  + 6

y - 6 =  (1/2)*   (x + 6)^2

2*(y - 6)  =   (x + 6)^2

4c = 2,   (h, k) = (-6, 6)

c = 1/2

Directrix equation:  y = k - c = 6 - 1/2 = 11/2

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Lady bird [3.3K]

Answer:

9/36 = 1/4

24/32 = 3/4

Step-by-step explanation:

For the first one: divide the numerator and the denominator by 9

Second one: divide the numerator and denominator by 4 to get 6/8 then divide it by 2 to get the answer

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3 years ago
What is the difference between-34 and -43
ehidna [41]
The difference of -34 and -43 is 9

-34 - -43 = 9

I hope this helps
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Step-by-step explanation:

(2) (x+2)^2 + (-15x -3)

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3 years ago
Factor x^2-2x-4 PLEASE ANSWER QUICKLY!!! I WILL GIVE POINTS!!! DBA IS TODAY!!!!
Thepotemich [5.8K]

To factor x²-2x-4, you are looking to answer three questions.

1) What pair of numbers multiplies to 4?

2) What pair of numbers multiplies to 1?

3) Do these pairs when multiplied together, add/subtract to the middle term?

To answer (1), our pairs are 2 and 2, 4 and 1. Since there's a negative with 4 at the end (from question one), the signs will be opposite.

To answer (2), only pair multiplies to 1 - 1 and 1. Let's try both pairs from 1.

(x-4)(x+1) The middle term here is -3x. Nope.

(x-1)(x+4). The middle term here is 3x. Nope.

(x-2)(x+2) The middle term is 0x (or no middle term). Nope.

So x²-2x-4 does not factor.

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