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Andrei [34K]
3 years ago
13

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9).

Mathematics
1 answer:
Svetllana [295]3 years ago
5 0
First we write standard form that includes both vertex and focus. The formula goes like this:

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

h and k are coordinates of vertex. since vertex is at beginning that means that h=k=0

p is focal lenght and in our case it is 9

expressing al of this we get:
x^2 = 4*9*y
x^2 = 36y
y = 1/36 * x^2
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What is the value of x?<br> X+4/9=3/4
Mashcka [7]

Answer:

11/36

Step-by-step explanation:

Here are the steps:

Step 1: Find a common denominator for both of the fractions

4/9 --> 27/36 (Multiply top and bottom by 4)

3/4 --> 16/36 (Multiply top and bottom by 9)

This is the smallest common denominator

Step 2: Subtract:

27/36 - 16/36 = 11/36

Soo...

x = 11/36

Hope this helps!

-jp524

8 0
3 years ago
Read 2 more answers
Please explain and write the answer!
jenyasd209 [6]

Answer:

You can actually draw both points in a graph to find out as it makes it easier to understand. Or you could think, if C has moved from (0,0) to (-2,3). It means it moves to the left of the x axis by 2, then moves up by 3 on the y axis.

So point P should move the same way. (-3, 4) move by -2 on the x axis would make it -5, and for y you go up 3 steps so 4+3=7 making P's final location (-5,7)

8 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Slav-nsk [51]

Answer:

C. 94.2 cm

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

  • Circumference: C = 2πr

Step-by-step explanation:

<u>Step 1: Define</u>

r = 15 cm

<u>Step 2: Find </u><em><u>C</u></em>

  1. Substitute [C]:                       C = 2π(15 cm)
  2. Multiply:                                 C = 30π cm
  3. Multiply:                                 C = 94.2 cm
3 0
2 years ago
15% tip to 100 cents why does this make a unit less factor?
evablogger [386]
15% and the corresponding 0.15 is by necessity unit-less; it's just a multiplier.  If you run up a $1 bill and wish to tip 15%, multiply $1 by 0.15, obtaining $0.15.
Then the total due would be $1 plus $0.15, or $1.15.

Note that $0.15
                -------- = 0.15 is unit-less
                   $1
4 0
3 years ago
Theorem: the sum of any two even integers equals 4k for some integer k. "proof: suppose m and n are any two even integers. by de
icang [17]

Remark

The proof is only true if m and n are equal. Make it more general.

m = 2k

n = 2v

m + n = 2k + 2v = 2(k + v).

k and v can be equal but many times they are not. From that simple equation you cannot do anything for sure but divide by 2.

There are 4 combinations

m is divisible by 4 and n is not. The result will not be divisible by 4.

m is not divisible by 4 but n is. The result will not be divisible by 4.

But are divisible by 4 then the sum will be as well. Here's the really odd result

If both are even and not divisible by 4 then their sum is divisible by 4

3 0
3 years ago
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