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Arisa [49]
3 years ago
13

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

Mathematics
1 answer:
Hunter-Best [27]3 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 factored form of 8x^2 + 12x
Crazy boy [7]
The answer is the following:

4x(2x+3)

hope it helped :)
6 0
3 years ago
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On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid
Anon25 [30]

Answer:

y=7600(5^(t/22))

Step-by-step explanation:

This is going to be an exponential function as it grows rapidly.

This type of question can be solved using the formula y=a(r^x), where a is the inital amount, r the factor by which the amount increases and x is the unit of time after which the amount increases.

x=t/22

a=7600

r=5

∴y=7600(5^(t/22))

5 0
3 years ago
Please help me Create a system of two equations but do not solve the system please actually help me please and thank you
mel-nik [20]

Answer:

7r + g = 46

7r + 2g = 50

Step-by-step explanation:

Hi there!

Matt and Trevon both bought supplies from a store, and we know that Matt bought 7 rose bushes and 1 geranium, and spent a total of $46 while Trevon bought 7 rose bushes and 2 geraniums, and spent a total of $50

We know that each rose bush costs a certain amount, and each geranium must cost a certain amount, but we don't know what that amount is; it's also possible that the amounts could be different

So let's say that the cost of one rose bush is r dollars; for Matt, that means that he spent 7r dollars on 7 rose bushes. Trevon also bought 7 rose bushes, meaning he also spent 7r dollars on rose bushes.

Since the cost of the geraniums can be different from the cost of every rose bush, let's express it with a different variable, like g.
Since Matt bought one geranium, he spent g dollars on that one geranium.
Trevon bought 2 geraniums, so he spent 2g dollars on the geraniums

The total cost of what Matt spent on flowers was 7r + g dollars (7 rose bushes + 1 geranium), which is equal to 46 dollars

As an equation, that can be written as 7r + g = 46

Trevon spent 7r + 2g dollars (7 rose bushes + 2 geraniums), which gave him a total of $50

As an equation, that can be written as 7r + 2g = 50
The two equations therefore are:
7r + g =46
7r+2g=50
Hope this helps!

Take a look here to practice with a similar problem if you wish (you don't have to look at the actual solving portion): brainly.com/question/14033905

8 0
2 years ago
When trying to find the probability of rolling an even number on a number cube with numbers 1 through 6, how many desired outcom
shepuryov [24]

Answer:

3

Step-by-step explanation:

3 even numbers 2,4,6

or 1/2

or 50%

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3 years ago
A rectangular pool in your friend' s yard is 150 ft× 400 ft.
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60,000 us the answer.
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