1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iris [78.8K]
3 years ago
10

Write an equation of the parabola with focus (0, -3) and vertex at the origin. Use z for the independent variable.

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

z^2 = -12y

or y = -(z^2/12)

Step-by-step explanation:

Answer:

z^2 = -12y

Step-by-step explanation:

Given the vertex at origin;

This is same as (0,0)

The focus (0,-3)

The general form is;

(z-h)^2 = 4p(y-k)

(h,k) is the vertex (0,0); so h = 0 and k = 0

The focus is given as;

(h,k + p)

so ;

k + p = -3

but k =0

so p = -3

Thus, the equation of the parabola is;

(z-0)^2 = 4(-3)(y-0)

z^2 = -12y

You might be interested in
Brad typed in 48 minutes a report that
g100num [7]

Answer:

59.9 words per minute

Step-by-step explanation:

You can round it to 60.

3 0
2 years ago
Read 2 more answers
Twice the sum of two numbers is 36 If one of the numbers is 10 find the other number​
Dahasolnce [82]

Answer:

8

Step-by-step explanation:

10 + 8 = 18

18 x 2 = 36

3 0
3 years ago
Read 2 more answers
Eric ordered 6 tacos and 1 large pop. The large pop costs $2.00 and the total cost of his order was
pshichka [43]

Answer: 6x + $2= $21.50

Step-by-step explanation:

To make an equation first we are going to give the cost of each taco the variable x since we don't know what it is. Then we will combine 6 multiplied by x to get 6x and add it to $2 to get $21.50 so the equation will be 6x + $2= $21.50. First we subtract 2 from both sides of the equation which makes the equation become 6x= $19.50. Then we divide both sides of the equation by 6 and get x=$3.25. This means that each taco cost $3.25.

5 0
3 years ago
which equation results from isolating a radical term and squaring both sides of the equation for the equation
damaskus [11]

Answer:

D) c - 2 = 25 + c + 10√c

Step-by-step explanation:

The given equation is \sqrt{c - 2} - \sqrt{c}  = 5

\sqrt{c -2} = 5 + \sqrt{c} \\

Taking square on both sides, we get

Here we used ( a+ b)^2 = a^2 + b^2 + 2ab formula.

c - 2 = 5^2 + (√c)^2 + 2(5)√c

c - 2 = 25 + c +10√c

Answer: D) c - 2 = 25 + c + 10√c

Thank you.

4 0
3 years ago
Read 2 more answers
Are the two triangles similar? How do you know?<br><br><br> (It’s number 12)
tensa zangetsu [6.8K]
The triangles are similar by Angle-Angle
5 0
2 years ago
Read 2 more answers
Other questions:
  • The following figures are not drawn to scale but AB and CD (if present) are straight lines. Find x:
    5·1 answer
  • The new printer at the school is able to print 2,700 pages in 45 minutes. On average, how many pages does it print per minute?
    9·2 answers
  • There are 12 months in 1 year. If Carrick is 11years d ,how many months old is he?
    12·2 answers
  • Find the value of the variable in the triangle below. Round decimal answers to the nearest tenth.
    11·1 answer
  • Oh my god someone please tell me
    9·2 answers
  • Which is the better buy? Show your work and explain your reasoning.
    11·1 answer
  • The total population of a village is 3540 out of which 2065 are male find the ratio of males to female
    13·2 answers
  • Gemma and Leah are both jewelry makers. Gemma made 106 beaded necklaces. Leah made 39 more necklaces than Gemma.
    5·2 answers
  • Whats 1-2x+3y for x=-2 and y=-5 ?​
    13·1 answer
  • Does anyone know the answer to this ??? I got the first part of it, help with the second part pls !!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!