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Arisa [49]
2 years ago
13

What does it mean for a point to be the solution to two equations​

Mathematics
1 answer:
Hunter-Best [27]2 years ago
4 0

Answer:

It means the point will satisfy both the equations.

Step-by-step explanation:

If we consider a point P(x_{1},y_{1}) which is the solution of two equations ax + by + c = 0 and px + qy + r = 0, then it conveys the information that both the equations will be satisfied by this point.

That means ax_{1} + by_{1} + c = 0 and px_{1} + qy_{1} + r = 0

At the same time if we consider the geometric interpretation then, the graph of the equations ax + by + c = 0 and px + qy + r = 0 will always pass through the common point P(x_{1},y_{1}).  (Answer)

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What is the meaning of panchtantra???​
DochEvi [55]

Answer:

<h2><u>✍</u><u> </u><u>PANCHTANTRA </u><u>:</u></h2>

⎆ The word “Panch.atantra” is a combination of the words Pancha – meaning five in Sanskrit, and Tantra – meaning weave. It's an ancient Indian inter-related collection of animal fables in verse and prose, in a frame story format.

⋆┈┈。゚❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀゚ུ۪。┈┈⋆

7 0
2 years ago
Read 2 more answers
B. You used 13 gallons when you traveled 342 miles. How many miles did you<br> travel per gallon?
svet-max [94.6K]

Answer:

26.307 miles per gallon

Step-by-step explanation:

Divide the miles traveled by the number of gallons used.

In this case, divide 342 by 13 to get the answer of 26.307 miles per gallon.

8 0
2 years ago
20 points, please help
Damm [24]

Answer:

The answer to your question is:    83 + 6\sqrt{35}

Step-by-step explanation:

This is a square of a binomial.

                                  (2\sqrt{5} + 3\sqrt{7} )^{2}

1.- Square of the first term

                               ( 2\sqrt{5} )^{2} = 4(5) = 20

2.- Twice the product of the two terms

               (2)(2\sqrt{5} )(3\sqrt{7} ) = 6\sqrt{35}

3.- Square of the second term

                              (3\sqrt{7)})^{2} = 9(7) = 63

4.- Write the solution

                           20 + 6\sqrt{35} + 63

                            83 + 6\sqrt{35}

7 0
3 years ago
The original sale price of an item at markdowns is $110.95. You have an additional 20% off coupon for markdowns for purchases to
IRINA_888 [86]

Answer:

$22.19

Step-by-step explanation:

20% off the original price = $110.95 - (20% x $110.95)

20% x $110.95 = $22.19

$110.95 - $22.19 = $88.76

difference = $110.95 - $88.76 = $22.19

5 0
2 years ago
Read 2 more answers
. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased
DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is \frac{12}{31}

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

P(A)=\frac{number of favorable cases}{number of possible cases}

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

  • P(A)= the probability that they purchased a green sweater
  • P(B)= the probability that they purchased a gray sweater
  • Mutually exclusive events

You know:

  • 8 purchased green sweaters
  • 4 purchased gray sweaters
  • number of possible cases= 12 + 8 + 4+ 7= 21

So:

  • P(A)=\frac{8}{31}
  • P(B)=\frac{4}{31}
  • P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= \frac{8}{31}+ \frac{4}{31}

P(A∪B)= \frac{12}{31}

<u><em>The probability that they purchased a green or a gray sweater is </em></u>\frac{12}{31}<u><em></em></u>

5 0
2 years ago
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