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djyliett [7]
3 years ago
10

Find the equation of the parabola with focus (2, 3) and directrix y = -1. es

Mathematics
2 answers:
aev [14]3 years ago
7 0
Y=1/8^2-1/2x + 3/2 would be the answer
Elan Coil [88]3 years ago
4 0

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of  this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9  = y^2 + 2y + 1

x^2 - 4x  + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

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galina1969 [7]
The position of the 7 is in the ten thousandths place.
7 0
3 years ago
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Choose whether the expression is a result of multiplying
vladimir1956 [14]

Answer:

neither

Step-by-step explanation:

Take out 5 as a common factor. It will be easier to look at.

5(5c^2 + 11c + 6)

5(5C +6 )(c + 1 )

Now you can put the 5 inside.

(25c + 30)(c + 1) is one answer.

(5c + 6)(5c + 5) is another.

The answer is multiplying binomials. There is nothing that that is squared and the answers are not conjugates. They are two binomials multiplied together.

8 0
3 years ago
PLEASE HELP ASAP
Volgvan

The length of each side of the polygon is the number of units on each side of the polygon, and the perimeter of the factory is 1000 feet

<h3>The length of each side of the polygon?</h3>

To do this, we simply calculate the number of units on each side of the polygon.

So, we have:

S1 = 5 units

S2 = 8 units

N1 = 13 units

E1 = 7 units

W1 = 3 units

W2 = 4 units

<h3>The perimeter of the polygon</h3>

This is the sum of the side lengths.

So, we have:

Perimeter = 5 + 8 + 13 + 7 + 3 + 4

Perimeter = 40

Each unit equals 25 feet.

So, we have:

Perimeter = 40 * 25 feet

Evaluate

Perimeter = 1000 feet

Hence, the perimeter of the factor is 1000 feet

Read more about perimeter at:

brainly.com/question/24571594

#SPJ2

8 0
2 years ago
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Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together the
Yuliya22 [10]
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.

Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)

Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
        -5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115

Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour
3 0
3 years ago
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
Anton [14]

Answer:

Given the graph f(x) = \frac{1}{3}x -2 and g(x) = \frac{1}{3}x + 3

We have to find the value of k;

Since, g(x) = f(x) +k

\frac{1}{3}x+3 = \frac{1}{3}x-2 +k

Subtract \frac{1}{3}x from both sides we get;

3 = -2 +k

Add 2 to both sides we get;

3+2 = -2 +k +2

Simplify:

5 = k

or

k = 5

Therefore, the value of k = 5


3 0
3 years ago
Read 2 more answers
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