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Igoryamba
4 years ago
6

Solve the equation.

Mathematics
1 answer:
Sergeeva-Olga [200]4 years ago
3 0
The answer to your question is 4
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Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. f(x) = −one eighth (x − 2)2 + 6 f(x) = one
vfiekz [6]

Answer:

A

Step-by-step explanation:

For any point (x, y ) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x-2)^2+(y-4)^2} = | y - 8 |

Squaring both sides gives

(x - 2)² + (y - 4)² = (y - 8)²

(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )

(x - 2)² = - 8y + 48

8y = - (x - 2)² + 48

y = - \frac{1}{8}(x - 2)² + 6 → A


3 0
3 years ago
Read 2 more answers
Plzz HELP FOR POINTS AND BRAINLIST ANSWER
storchak [24]

A)Plugging in our initial statement values of y = 16 when x = 10, we get:

16 = 10k

Divide each side by 10 to solve for k:

16/10=

 k = 1.6

Solve the second part of the variation equation:

Because we have found our relationship constant k = 1.6, we form our new variation equation:

y = 1.6x

Since we were given that x, we have

y = 1.6()

y = 0


B)Plugging in our initial statement values of y = 1 when x = 15, we get:

1 = 15k

Divide each side by 15 to solve for k:

1/15

=15k

k = 0.066666666666667

7 0
3 years ago
at a school number of boys:number of girls = 9:7 . There are 116 more boys than girls. Work out the total number at the school
Westkost [7]
612 Boys and 476 Girls
8 0
3 years ago
It costs $5 to become a member of a video game club. After that, video games 10 each with a 7% tax on each game. If you spent $6
Alinara [238K]

Answer:

6 games

Step-by-step explanation:

Each game is 10.70 x 6 = 64.20+5=no change

5 0
3 years ago
Read 2 more answers
What is the opposite of 3.82
BigorU [14]
The Opposite of 3.82 is -3.82. It's like you saying what is the inverse of 3.82.
3 0
3 years ago
Read 2 more answers
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