Can someone please help me with my homework !

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

Answer:

[tex]\boxed {\boxed {\sf x^2=-2y}}[/tex]

Step-by-step explanation:

First, plot the two points. We can see the focus is below the vertex. The result will be a vertical parabola. Since the parabola must contain the focus, it will have to open downward.

From this information, we know that the following equation must be used:

[tex](x-h)^2=-4p(y-k)[/tex]

where (h,k) is the vertex and p is the distance from the focus to the vertex.

Next, find p, the distance between the focus and vertex. We can use the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The vertex is (0,0) and the focus is (0, -1/2). Therefore:

[tex]x_1=0\\y_1=0\\x_2=0\\y_2= -1/2[/tex]

[tex]d=\sqrt{(0-0)^2+(0--1/2)^2}[/tex]

[tex]d=\sqrt{(0)^2+(0+1/2)^2}[/tex]

[tex]d=\sqrt{0+(1/2)^2}[/tex]

[tex]d=\sqrt{0+1/4}[/tex]

[tex]d=\sqrt{1/4}[/tex]

[tex]d=1/2[/tex]

Now we know the distance and vertex. We can plug the values into the equation.

d=1/2 and (h,k)= (0,0)

[tex](x-0)^2=-4(1/2)(y-0)[/tex]

[tex](x)^2=-2(y)[/tex]

[tex]x^2=-2y[/tex]

The equation of the parabola is x²= -2y

Answer:

5/12

Step-by-step explanation:

Total pound of oranges = 5

Number of piles = 12

Weight of the oranges in each pile = Total pound of oranges / Number of piles

= 5 / 12

The rational number which represents the weight of the oranges in each pile is 5/12

Answer:

Hope it help, and please give me Brainlest!

Step-by-step explanation:

I just know this one. I'm so sorry!

2x + 13= [tex]\sqrt{x} = 5[/tex]; x + 9 = -4; [tex]4^{3x + 2} = 4[/tex]

The value of x and y in the given figure is 14° and 23° respectively.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know vertically opposite angles are equal, and we also know that sum of all the interior angles of a triangle is equal to 180°.

∴ 47° + (2x + 13)° + (5y - 23)° = 180°.

47° + 13° - 23° + 2x + 5y = 180°.

2x + 5y = 143°...(i).

Now, We also know that when parallel lines are intersected by a transversal pair of alternate angles are equal and the sum of two adjacent angles is equal to 180°.

∴ 3x + (5y - 23)° = 180°.

3x + 5y = 157°...(ii)

Now subtracting eqn(i) from eqn(ii) we get x = 14°, and substituting the value of x in any of the equations we y = 23°.

learn more about transversal here :

https://brainly.com/question/17432060

#SPJ2

Answer:

c

Step-by-step explanation:

It could be 443, try simplifying to the nearest hundreaths, hope this helps!

Answer:

so you are going to divide with  a calculator

19,067 divided by 43

equals 443.4186047 (simplify)

Step-by-step explanation:

can i have brainliest please

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[tex]slope = - 3[/tex]

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Let me know if you need explanation.

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Answer:

The order of the numbers from least to greatest is -3, -0.5, 1.2, 3.

Answer:

-3, -0.5, 1.2, 3

Answer:

12 beats per minute after 30minutes

Step-by-step explanation:

Since we are told by how much his heartrate increased in 20 minutes, we can simply calculate how much it increased in 10 minutes and add that amount to the current heart rate to know how much his heartrate increased after 30 minutes of working out. Since 10minutes would be half of the 20minutes we simply divide the beats per minute by 2.

8 / 2 = 4 beats per minute after 10 minutes

Now we simply add this to the beats per minute at the 20minute mark to calculate the beats per minute at 30minutes

8 + 4 = 12 beats per minute after 30minutes

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

Answer:

Step-by-step explanation:

Area of rectangle=length x width

Given area= 5734 m^2.

Length=94m

So 5734=94xwidth

width=5734/94=61m is the answer

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

Answer:

72 hours

Step-by-step explanation:

Answer:

< P = 30

Step-by-step explanation:

PQR isosceles triangle

< R= 75

< P = 180 - ( 75 + 75 ) = 30

yt is anser 4325

Step-by-step explanation:

Answer: I believe the answer is A.

Explanation: hope this helps

Answer:

Step-by-step explanation:

Total for the first choice:

Total for the second choice:

As we see the second choice is better as more salary is expected

Answer:

1-75    2-105    3-35

Step-by-step explanation:

1-  180-75-30=75

2-  180-75=105

3-   180-105-40=35

Answer

I know how to solve it just don't know how to explain how you came up with the equation

Step-by-step explanation:

To solve 9y+7=2y+98   you add 9y+2y and you get 11y  and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11  y= 9.54

Answer:

angle 1 = angle 2 = 17 degrees

(12,2) (-7,5)

x1 y1. x2 y2

use this formula to solve:

y2-y1/x2-x1

=

(5)-(2)

(-7)-(12)

slope: -3/19

Answer:

It is R, T.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I got it right

Answer:

j + 5 = s

a = l + 3

Step-by-step explanation:

Answer:

A rectangle doesn't has a diameter

________________________________

But if you are asking about perimeter.

Step-by-step explanation:

Perimeter = 2(l + b)

l = 9cm

b = 5cm

Perimeter = 2(l + b)

= 2(9 + 5)

= 18 + 10

= 28cm

Answer:

192 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, let's convert 6 feet 3 inches to just inches. Because there are 12 inches in 1 foot, we can say that there are 72 inches in 6 feet. Combined with the other 3 inches, we can say that Marco is a 75 inches tall.

Now, we can multiply the number of inches we found by 2.54 to get Marco's height in centimeters. This gives us 190.5 cm.

Answer:

Step-by-step explanation:

As per the spinner we have:

16. P(red, yellow, blue) = ?

17. P(orange, yellow) = ?

18. P(green, blue, purple) = ?

19. P(pink) = ?

20. P(red, orange, yellow, green, blue, purple) = ?

[tex]\sqrt9a^2 + b^2[/tex]

мой пипи действительно большой, и это круто

Given :

Chicken costs $3.20 per pound, and beef costs $4.59 per pound.

To Find :

When purchasing 3 pounds, which meat is more expensive and by how much.

Solution :

Price of 3 pound chicken, [tex]P_c=3.2\times 3 = \$9.6[/tex] .

Price of 3 pound beef, [tex]P_b = 4.59\times 3=\$13.77[/tex] .

Now, difference in price :

P = $13.77 - $9.6 = $4.17 .

Therefore, beef is more expensive than chicken by $4.17 .

Hence, this is the required solution.

Answer:

[tex]f(x)=(x-3)(x^2-8x+17)[/tex]

Or:

[tex]f(x)=x^3-11x^2+41x-51[/tex]

Step-by-step explanation:

To find our factors, we can work backwards.

We know that 3 is a zero. This means that:

[tex]x=3[/tex]

Subtract 3 from both sides:

[tex](x-3)=0[/tex]

So, (x-3) is one of our factors.

We also know that (4+i) is a zero. So:

[tex]x=4+i[/tex]

First, let’s isolate the imaginary. So, subtract 4 from both sides:

[tex](x-4)=i[/tex]

Now, let’s square both sides:

[tex](x-4)^2=(i)^2[/tex]

Expand the left. Evaluate the right:

[tex](x^2-8x+16)=-1[/tex]

Add 1 to both sides. So, our factor is:

[tex](x^2-8x+17)=0[/tex]

Hence, our polynomial function is:

[tex]f(x)=(x-3)(x^2-8x+17)[/tex]

This is also the least degree since we did the most minimum we can do to solve backwards.

Further Notes:

If we want to convert this to standard form, we can distribute:

[tex]f(x)=(x^3-8x^2+17x)+(-3x^2+24x-51)[/tex]

Combining like terms will yield:

[tex]f(x)=x^3-11x^2+41x-51[/tex]