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stepan [7]
3 years ago
12

The sum of two numbers is 193 and the difference is 19. What are the two numbers?

Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

The numbers are 87 and 106

Step-by-step explanation:

x + y = 193

x - y = 19

Add y to both sides of the equation

x = 19 + y

Substitute new value for x into first equation

19 + y + y = 193

Add y's together

19 + 2y = 193

Subtract 19 from both sides of the equation

2y = 174

Divide both sides of the equation by 2

y = 87

193 - 87 = 106

The numbers are 87 and 106

Hope this helps :)

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nikklg [1K]

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

A = (-6,0)

B = (-4,0)

Area = 12

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

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

So, we have:

AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}

AB = \sqrt{(-2)^2 + (0)^2}

AB = \sqrt{4 + 0}

AB = \sqrt{4}

AB = 2

The above represents the length of the triangle.

Next, calculate the width using:

Length * Width = Area

2* Width = 12

Divide both sides by 2

Width = 6

This implies that, the width of the rectangle is 6 units.

We have:

A = (-6,0)

B = (-4,0)

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

C = (-6,0-6)\\ => C = (-6,-6)

D = (-4,0-6) => D = (-4,-6)

Hence, the points of the rectangle are:

A = (-6,0)

B = (-4,0)

C = (-6,-6)

D = (-4,-6)

<em>See attachment for rectangle</em>

6 0
3 years ago
If f(x) = 3LX-2], what is f(5.9)? 9 10 11 12​
Black_prince [1.1K]

Answer: 12

Step-by-step explanation:

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The given function :

Then, for x= 5.9 , we have

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Therefore, the value of f(5.9) is 12

6 0
3 years ago
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Maru [420]
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Average rate of change = \frac{a(4)-a(3)}{4-3} = \frac{9-3}{1}=6

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seropon [69]

Answer:

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7 0
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ale4655 [162]

Answer:

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Step-by-step explanation:

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