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Paladinen [302]
3 years ago
8

the difference between two numbers is 4. three times the smaller number is equal to two times the larger less two. find the numb

ers
Mathematics
1 answer:
Doss [256]3 years ago
3 0

The larger number is 10 and smaller number is 6.

Step-by-step explanation:

Given,

The difference between two numbers = 4

Let,

x be the larger number.

y be the smaller number.

According to given statement;

x-y=4     Eqn 1

3y=2x-2   Eqn 2

Multiplying Eqn 1 by 3

3(x-y=4)\\3x-3y=12\ \ \ Eqn\ 3

Putting value of 3y from Eqn 2 in Eqn 3

3x-(2x-2)=12\\3x-2x+2=12\\x=12-2\\x=10

Putting x = 10 in Eqn 2

3y=2(10)-2\\3y=20-2\\3y=18

Dividing both sides by 3

\frac{3y}{3}=\frac{18}{3}\\y=6

The larger number is 10 and smaller number is 6.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11149751
  • brainly.com/question/11155478

#LearnwithBrainly

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cestrela7 [59]

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

<h3>What is the transformation rule?</h3>

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

\mathbf{(x,y) \to  (k_x, k_y)}

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From the given information:

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Now, using the coordinate vertices:

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Learn more about the transformation rule in coordinate planes here:

brainly.com/question/4251601

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7 0
2 years ago
Please Help !! Show All Work !!
GrogVix [38]

Answer:

1) (4,4)  2) (4,0)   3) (6,1)

Step-by-step explanation:

(\frac{5+13}{2} )(\frac{7+1}{2} )\\(\frac{8}{2} )(\frac{8}{2} )\\(4,4)

(\frac{-3+7}{2} )(\frac{-3+3}{2} )\\(\frac{4}{2} )(\frac{0}{2} )\\(4,0)

\frac{-5+x_2}{2} =1 multiply 1 by 2=2 then write(+5)-5+x_2=1(+5)\\x_2 = 6

\frac{3+y_2}{2} =2 multiply 2 by 2= 4 then write (-3)3+y_2=4(-3)\\y_2=1

4 0
3 years ago
The perimeter of a triangle is 90 cm. The lengths of the sides of the triangle are in the ratios 3:5:7 Work out the length of th
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Step-by-step explanation:

7 0
3 years ago
In centimeters, what is the unknown length in this right triangle
Ilya [14]

Answer:

11

Explanation:

(next time, it would be helpful to include a picture)

If you were on the same test as I was, than that means that the triangle you're looking for is the one below.

Using the Pythagorean Theorem,

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Next, we subtract:

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3 0
3 years ago
Read 2 more answers
What’s the interger of -(-10)
Lorico [155]

Answer:

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7 0
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