One number is 1/2 of another number the sum of the two numbers is 27 find the two numbers

Mathematics

1 answer:

Art [367]3 years ago

4 0

Filling up the space because it has to be 20 characters

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Braceleftzf y = 8/7 x − 2/3 <br> 8/3 x + y = 5/9

givi [52]

Answer:

(x, y) = (77/240, -3/10)

Step-by-step explanation:

It is convenient to write the equations in standard form.

Multiplying the first equation by 21 gives ...

21y = 24x -14

Multiplying the second equation by 8 gives ...

24x +9y = 5

Then the system of equations in standard form is ...

24x -21y = 14
24x +9y = 5

Subtracting the first from the second, we get ...

(24x +9y) -(24x -21y) = (5) -(14)

30y = -9

y = -9/30 = -3/10

Substituting this into the second equation, we have ...

24x +9(-3/10) = 5

24x = 7.7 . . . . . . . add 27/10

x = 7.7/24 = 77/240

The solution is (x, y) = (77/240, -3/10).

7 0

3 years ago

Pleaseee help me I’m stuck

antiseptic1488 [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Which of the following statements best describes the relationship between a line and a point in a plane? exactly one plane conta

Alexandra [31]

Answer: (b) exactly one plane contains a given line and a point not on the line.

Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-

(i) The intersection of two lines determines a point,

(ii) Two parallel lines give result to a plane,

(iii) A line and a point not on the line determines a plane, etc...

Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.

Hence, the correct option is (b).