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Kipish [7]
4 years ago
6

A plane intersects one nappe of a double-napped cone such that the plane is not perpendicular to the axis and is not parallel to

the generating line.
Which conic section is formed?

circle
ellipse
parabola
hyperbola
Mathematics
2 answers:
meriva4 years ago
6 0
Ellipse is the correct answer
belka [17]4 years ago
6 0

Answer:

The conic section that is produced on such slicing is:

                                   Ellipse.      

Step-by-step explanation:

We know that when a slicing of a double nape cone is done such that the plane intersects one nape of a double-napped cone such that the plane is not perpendicular to the axis and is not parallel to the generating line then ellipse is formed.

( If the plane passes just one nape of a cone and is perpendicular to the axis then a circle is obtained.

and if a plane passes through just one nape of a cone and is parallel to the generating line than a parabola is obtained )

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Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5
Nastasia [14]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 2 → (1)

2x + y = 3 → (2)

Multiply (2) by 5 will eliminate y when added to (1), that is

10x + 5y = 15 → (3)

Add (1) and (3) term by term

(3x + 10x) + (- 5y + 5y) = (- 2 + 15)

13x = 13 ( divide both sides by 13 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

2 + y = 3 ⇒ y = 3 - 2 = 1

Solution is (1, 1)

7 0
3 years ago
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Write the following equation in the general form Ax + By + C = 0 <br> 2x + y = 6
ki77a [65]
The Answer is 2x + Y - 6 =0
5 0
3 years ago
A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing
yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

  • Speed = 12 Km/h
  • Time = t
  • Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

  • Time (t) = 3.5 hours
  • Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

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6 0
2 years ago
A gardener uses 20 gallons of water each week on his 8-foot by 10-foot vegetable garden. He plans to enlarge his
MatroZZZ [7]

Answer:

60 gallons

Step-by-step explanation:

so he enlarged it by three so it would be 24by30

because of that, you have to multiply 20g by 3 also

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7 0
2 years ago
The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
VikaD [51]

The complete question is

"The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?

a. The domain of this function represents the total cost for a job

b. H is a function of C

c. The painter charges a $35 service fee in addition to an hourly rate

d. The painters hourly rate is $35.00"

The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. So, the correct option is D. The painters hourly rate is $35.00

<h3>What is a function?</h3>

Function is a type of relation, or rule, that maps one input to specific single output.

The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours.

The fixed fee, or service fee, is $60.

$35 is the hourly fee since in the function, it is 35 that is multiplied by the number of hours.

So, the correct option is D. The painters hourly rate is $35.00

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