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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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Translate the sentence into an equation.
hram777 [196]

Answer:

5y+2=7

Step-by-step explanation:

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6 0
4 years ago
Using the information in the customer order, determine the length and width of the garden. Enter the dimensions. ↓
SashulF [63]

Answer:

Length: 14 feet   Width: 1 foot

Step-by-step explanation:

This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.

For perimeter:

14 + 14 = 28

1 + 1 = 2

2 + 28 = 30

These dimensions have a perimeter of 30.

For area:

14 x 1 = 14

These dimesnions also have an area of 14.

So, 14 and 1 are the correct dimensions!

6 0
3 years ago
Use triangles ABC and A'B'C' for Exercise. Use the coordinates to find the lengths of the sides.
mafiozo [28]

Answer:

AB = 2

BC = 2

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Step-by-step explanation:

5 0
3 years ago
A group of 266 persons consist of men , women and children and there are four times as many men as children and twice as many wo
klasskru [66]

Answer:

see explanation

Step-by-step explanation:

Let c represent the number of children, then

number of men = 4c and number of women = 2c

Sum the numbers of each and equate to 266

4c + 2c + c = 266, that is

7c = 266 ( divide both sides by 7 )

c = 38

Thus

4 × 38 = 152 and 2 × 38 = 76

The group consists of 38 children, 152 men and 76 women

3 0
3 years ago
James wants to send two gifts by mail. One package weighs 2 3/4 pounds. One package weighs 2 3/4 pounds. The other package weigh
Andreyy89
1 3/4 + 2 3/4 = 4 1/2
8 0
3 years ago
Read 2 more answers
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