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3 years ago

PLEASE HELP ASAP DUE In 5 MINUTES

Mathematics

1 answer:

Arada [10]3 years ago

5 0

C hahjfmroahcnfnosjajd

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The general form of an parabola is 2x2−12x−3y+12=0 .

Murljashka [212]

Answer:

The standard form of the parabola is $(x-3)^2=4*\frac{3}{8}(y+2)$

Step-by-step explanation:

The standard form of a parabola is

$(x-h)^2=4p(y-k)$ .

In order to convert $2x^2-12x-3y+12=0$ into the standard form, we first separate the variables:

$2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y$

we now divided both sides by 2 to remove the coefficient from $2x^2$ and get:

$x^2-6x+6=\frac{3}{2}y$ .

We complete the square on the left side by adding 3 to both sides:

$x^2-6x+6+3=\frac{3}{2}y+3$

$x^2-6x+9=\frac{3}{2}y+3$

$(x-3)^2=\frac{3}{2}y+3$

now we bring the right side into the form $4p(y-k)$ by first multiplying the equation by $\frac{2}{3}$ :

$\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2$

and then we multiplying both sides by $\frac{3}{2}$ to get

$(x-3)^2=\frac{3}{2} (y+2)$ .

Here we see that

$4p=\frac{3}{2}$

$\therefore p=\frac{3}{8}$

Thus, finally we have the equation of the parabola in the standard form:

$\boxed{(x-3)^2=4*\frac{3}{8}(y+2)}$

5 0

3 years ago

Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking speed is only r miles per hour.

tamaranim1 [39]

For this problem I got (20/r)-(20/s).

7 0

3 years ago

Fraction 1 whole minus 3 8 ths

lys-0071 [83]

5/8 or .625 is the answer

5 0

3 years ago

Read 2 more answers

E-Z View cable company charges a flat rate of $40 per month for service and $4.95 for each pay per view movie. View the Best cha

Sliva [168]

The difference between the first company and the other is that the first charges $1 less per movie than the second , but charges $15 more than the second as well.
To awnser this problem and equal the charges in bth companies we just need to cancel out the $15 the first company charges more than the second.
As we pay more $1 each movie in the first , we would need to view 15 movies to equalize the charges from both companies :
x= 15 if we want to equalize the charges

f(x) = 4.95(15) + 40
f(x) = 74.25 + 40 = 114.25

g(x) = 5.95(15) + 25
g(x) = 89.25 + 25 = 114.25

Awnser: We would need to view 15 pay per view to equalize the bills from both companies

6 0

4 years ago

Read 2 more answers

I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail

Reika [66]

Answer:

28%

Step-by-step explanation:

2/7 = 0.28

0.28 = 28%

8 0

3 years ago