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photoshop1234 [79]
3 years ago
14

The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

x= -13

y= -28

Step-by-step explanation:

To find the two numbers, write a system of equations with x as one number and y as another:

x-y=15

5x=2y-9

Use substitution to substitute one equation into another. Then solve for the variable.

x=15+y into 5x=2y-9

becomes

5(15+y) = 2y-9

75+5y = 2y- 9

75+3y= -9

3y = -84

y= -28

To find x, substitute y= -28 into one equation.

x - (-28) = 15

x+28 =15

x = 15-28

x=-13




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9) In the standard co-ordinate system, which of the following points in the greatest distance from origin? A. (-4, -1) B. (-3, 3
ludmilkaskok [199]

The point with the greatest distance to the origin is given by:

B. (-3, 3).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:

D = sqrt(x² + y²).

Hence the distances for each point given in the problem are:

  • A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
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  • C. Distance = sqrt((4)² + 0²) = sqrt(16).
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Hence option B has the greatest distance.

More can be learned about the distance between two points at brainly.com/question/18345417

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