All categories

3 years ago

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.

Mathematics

2 answers:

Alecsey [184]3 years ago

7 0

Answer:

y^2 = 28x

Step-by-step explanation:

Since the directrix is horizontal, use the equation of a parabola that opens left or right.

(y−k)^2 = 4p(x−h)

Find the vertex.

(0,0)

Find the distance from the focus to the vertex.

p = 7

Substitute in the known values for the variables into the equation

(y−k)^2 = 4p(x−h).

(y−0)^2 = 4(7)(x−0)

Simplify.

y^2 = 28x

Veronika [31]3 years ago

5 0

Answer:

x = - 1/28 y^2

Step-by-step explanation:

You might be interested in

What are the first three terms of the sequence...plz help pt.1

svetlana [45]

$a_{n} \: = \: 2(a_{n - 1})^{2} \\ a_{1} = 4 \: (given) \\ a_{2} = \: 2(a_{2 - 1})^{2} \\ = 2(a_{ 1})^{2} \\ = 2 \times {4}^{2} \\ = 32 \\ \\ a_{3} = \: 2(a_{3 - 1})^{2} \\ = 2(a_{ 2})^{2} \\ = 2 \times {32}^{2} \\ = 2 \times 1024 \\ = 2048$

so first 3 terms are

4, 32, 2048

8 0

3 years ago

Read 2 more answers

Complete the solution of the equation. Find the value of y when x equals -14. -2x + 5y = 8

shepuryov [24]

Answer:

y = -4

Step-by-step explanation:

-2x + 5y = 8

Let x=-14

-2(-14) +5y = 8

28 +5y = 8

Subtract 28 from each side

28-28 +5y = 8-28

5y = -20

Divide by 5

5y/5 = -20/5

y = -4

4 0

3 years ago

A reflection through what line will move p(6,-13) to p(6,13)

Vedmedyk [2.9K]

A reflection across the x axis

y=0

4 0

3 years ago

What is The Lowest Term of 100/1000

Fiesta28 [93]

Answer:

so the lowest term is 1/10

hope this helps u

3 0

2 years ago

The area of a trapezoid is 39 square millimeters. the height of the trapezoid is 6 millimeters. One of the base lengths is 5 mil

Strike441 [17]

Answer:

The other length of the trapezoid is 8 mm

Step-by-step explanation:

5 0

3 years ago