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3 years ago

1/5,6/30 tell if it forms a porportion

Mathematics

1 answer:

Marianna [84]3 years ago

5 0

1/5=6/30 if thats what you mean

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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

The sum of two numbers is 30.the first number is 1/5 of the second number. what are the numbers?

gizmo_the_mogwai [7]

The 2md number can be y. This makes the first number 1/5 of y

Your equation is y + 1/5y = 30
You can randomly plug in numbers and you get that the first number is 5. This means that the second number is 25

6 0

3 years ago

How many times does 15 goes into 2

Whitepunk [10]

Answer:

Step-by-step explanation:

2,4,6,8,10,12,14 that is howni got my answer

4 0

3 years ago

Read 2 more answers

Look carefully at the triangle solve for x

luda_lava [24]

The 3 inside angles of a triangle need to equal 180 degrees. Looking at the larger outside triangle the top angle is 30 and the lower right angle is 60.

30 + 60 = 90

The lower left angle needs to be 180 - 90 = 90 degrees.

That angle is split into two angles with one given as 70.

This means X needs to be 90 - 70 = 20 degrees.

x = 20

3 0

3 years ago

Please help me to answer this question.

12345 [234]

Answer:

456,976,000

Step-by-step explanation:

The total number of possibilities is the product of the number of possibilities in each of the character positions:

10 · 10 · 10 · 26 · 26 · 26 · 26

= 10^3 · 26^4 = 456,976,000

5 0

3 years ago