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jekas [21]
2 years ago
15

With unique examples of your own let’s discuss the number of solutions possible (0, 1, 2, 3, 4) to a system of equations that in

clude a conic section.
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
8 0

The number of solutions possible to a system of equations that include a conic section depends on the type of equations involved

<h3>How to determine the number of solutions?</h3>

A system of equation that has a conic section may or may not have solutions.

It would have a solution if the equations intersect, when plotted on a graph and it would not, if otherwise

A conic section can be any of:

  • Parabola
  • Ellipse
  • Hyperbola
  • Circle

<u>Example 1: No solution</u>

Consider the following system of equations

  • y = x² - 10 --- parabola equation
  • (x - 1)² + (y - 2)² = 5 --- circle

The above system of equations has no solution because they do not intersect when plotted on a graph (see graph 1)

<u>Example 2: One solution</u>

Consider the following system of equations

  • x = 2 --- linear equation
  • y = x² - 10 --- parabola

The above system of equations has one solution because they intersect at one point (see graph 2)

<u>Example 3: One solution</u>

Consider the following system of equations

  • y = 2x + 1 --- linear equation
  • y = x² - 10 --- circle

The above system of equations has two solutions because they intersect at two points (see graph 3)

The above examples imply that a system of equations that involves conic section can have as many solutions as possible.

The number of solutions depends on the type of equations involved

The attached graphs illustrate how a system of equations can have 0 to 4 solutions

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

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14.7 divided by 2.2=
GenaCL600 [577]

Answer:

6.68181818182

Step-by-step explanation:

3 0
3 years ago
A man has 1 coins in his pocket, all of which are dimes and quarters. Aif the total value of his change is $2.75, how many dimes
VLD [36.1K]

Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of dimes in his pocket.
  • Variable y: number of quarters in his pocket.

He has a total of 14 coins, hence:

x + y = 14 -> y = 14 - x.

They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:

0.1x + 0.25y = 2.75

Since y = 14 - x:

0.1x + 0.25(14 - x) = 2.75

x = (0.25*14 - 2.75)/0.15.

x = 5.

y = 14 - x = 14 - 5 = 9.

There are 5 dimes and 9 quarters in his pocket.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
2^x + 2^-x =5/2 pls I need d. ans​
yKpoI14uk [10]

Answer:

x= 1, -1

Step-by-step explanation:

6 0
3 years ago
Helppppppppppppppppppppppppppppppppppppp
almond37 [142]

i think it would be D

4 0
2 years ago
What percent of 25 is12<br><br> And how do I work it
Sergio [31]
12/25 * 100 = 48%

Amount/Whole Amount * 100

5 0
3 years ago
Read 2 more answers
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