All categories

3 years ago

match the steps to find the equation of the parabola with focus (-1, -8.75) and directrix y = - 9.25.

Mathematics

1 answer:

choli [55]3 years ago

5 0

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistant from S and d

Focus S=(-1,2), d:x-5=0]

You might be interested in

Simon has a certain length of fencing to enclose a rectangular area. The function A models the rectangle's area (in square meter

ss7ja [257]

Answer:

The maximum area is 1,600 square meters

Step-by-step explanation:

<u><em>The complete question is</em></u>

What is the maximum area possible?

The given function area is modeled by A(w)=-w(w-80)

we know that

The given function is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the width for the maximum area

The y-coordinate of the vertex represent the maximum area

Convert the quadratic function in vertex form

$A(w)=-w(w-80)\\\\A(w)=-w^{2}+80w$

Factor -1

$A(w)=-(w^{2}-80w)$

Complete the square

$A(w)=-(w^{2}-80w+1,600)+1,600$

Rewrite as perfect squares

$A(w)=-(w-40)^{2}+1,600$ ----> function in vertex form

The vertex is the point (40,1,600)

therefore

The maximum area is 1,600 square meters

8 0

3 years ago

Read 2 more answers

Write the point-slope form of the equation with the given characteristics.

Neporo4naja [7]

Answer:

1. y = 2x+3

2. y= -2x-1

3. y=3/5 x +3

4. y = 1/2 x 23/2

Step-by-step explanation:

1. Use slope intercept, y=mx+b where m =2 and b=3. y=2x+3

2. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-5)=-2(x--3)

y-5=-2(x+3)

y=-2x-6+5

y=-2x-1

3. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is 3/5 since parallel lines have the same slope.

(y-3)=3/5(x-0)

y-3=3/5 x

y=3/5 x +3

4. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is 1/2 since perpendicular lines have the negative reciprocal slopes. So -2 becomes 1/2.

(y-10)=1/2(x--3)

y-10=1/2 (x+3)

y-10 = 1/2 x + 3/2

y = 1/2 x 23/2

3 0

3 years ago

Every week, Enrique walks one mile each day for 4 days of the week. He can usually walk one mile in about 14 to 16 minutes.

Snezhnost [94]

Answer:

512

Step-by-step explanation:

Beacuse 4x3 =32 32 x 16 =512