I need to know this answer I've worked it out but not sure

An equation of a parabola with its vertex at (-3,2) and focus at (-3,-1) written in general equation form

german

we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)

the answer is (x+3)^2=-12(y-2)

5 0

3 years ago

Convert 50 m/s to miles/hr

poizon [28]

Answer is: 111.847

Method:
1 m/s = 2.23693629 mi/hr

Therefore ->
50 (m/s) * 2.23693629 (mi/hr) = 111.847 mi/hr

(Thanks to google)

7 0

3 years ago

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago

Part One

bogdanovich [222]

Answer:

that would be nice for you to have to say about me nila rc

6 0

2 years ago

Which sixth-grade student lives the farthest from school? Is this a statistical question?

MAVERICK [17]

Answer:

Yes

Step-by-step explanation:

Becuase a statistical question is "one that can be answered by collecting data and where there will be variability in that data" you can collect data to find out

7 0

3 years ago

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