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lana66690 [7]
2 years ago
13

Use the drawing tools to form the correct answer on the graph

Mathematics
1 answer:
DIA [1.3K]2 years ago
3 0

Step-by-step explanation:

answer is in photo above

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Find an equation of the parabola with focus (2, −3) and directrix y = 1.
Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

.

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be  P(x,y)  .

The distance of P from the directrix is

           

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

 

The required equation of the parabola is

5 0
2 years ago
[I need the answer asap because my teacher wants this done today!] Which y coordinate can be found on the house?
Lynna [10]

Answer:

Your answer should be 5.

Hope this helps. :-)

3 0
3 years ago
X + 2 = 2x +1<br>what's x​
LekaFEV [45]
X + 2 = 2x + 1
2 - 1 = 2x - x
1 = x
x = 1
4 0
2 years ago
Read 2 more answers
The John Jay Theater Dept has tickets at $6 for adults, $4 for teachers, and $2 for students. A total of 280 tickets were sold f
OleMash [197]

Answer:

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

Step-by-step explanation:

Cost of tickets

Adults = $6

Teachers = $4

Students = $2

Total tickets sold = 280

Total revenue = $1010

Let

x = number of adults tickets

y = number of teachers tickets

z = number of students tickets

x + y + z = 280

6x + 4y + 2z = 1010

If the number of adult tickets sold was twice the number of teacher tickets

x = 2y

Substitute x=2y into the equations

x + y + z = 280

6x + 4y + 2z = 1010

2y + y + z = 280

6(2y) + 4y + 2z = 1010

3y + z = 280

12y + 4y + 2z = 1010

3y + z = 280 (1)

16y + 2z = 1010 (2)

Multiply (1) by 2

6y + 2z = 560 (3)

16y + 2z = 1010

Subtract (3) from (2)

16y - 6y = 1010 - 560

10y = 450

Divide both sides by 10

y = 450/10

= 45

y = 45

Substitute y=45 into (1)

3y + z = 280

3(45) + z = 280

135 + z = 280

z = 280 - 135

= 145

z = 145

Substitute the values of y and z into

x + y + z = 280

x + 45 + 145 = 280

x + 190 = 280

x = 280 - 190

= 90

x = 90

Therefore,

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

5 0
3 years ago
Michael drove from Orlando to Jacksonville in 3 3/5 hours. The next day he drove from Jacksonville to savannah in 5 5/6 hours. W
stiv31 [10]

The answer is 9 13/30! I hope I helped!


4 0
3 years ago
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