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olga_2 [115]
3 years ago
15

What is the slope of the line going through the points (-3,-7.5) and (-2,-5)

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

<em>2.5</em>

Step-by-step explanation:

y2 - y1 = top

x2 - x1 = bottom

<em>y2 = -5</em>

<em>y1 = -7.5</em>

<em />

<em>x2 = -2</em>

<em>x1 = -3</em>

<em />

<em />

-5-(-7.5) = 2.5

-2-(-3) = 1

2.5 over 1 = 2.5

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Use the identity (x+y)(x−y)=x2−y2 to find the difference of two numbers if the sum of the numbers is 12 and the difference of th
Natalka [10]

Answer:

The difference of two numbers using identity (x+y)(x-y)=x^2-y^2 is 4.

Step-by-step explanation:

Given:  The sum of the numbers is 12 and the difference of the squares of the numbers is 48.

To find the difference of two numbers using identity (x+y)(x-y)=x^2-y^2

Let the two numbers be a and b, then

Given that the sum of the numbers is 12

that is a + b = 12 .........(1)

Also, given the difference of the squares of the numbers is 48.

that is a^2-b^2=48     ..........(2)

Using given identity  (x+y)(x-y)=x^2-y^2

We have (a+b)(a-b)=a^2-b^2

Substitute the known values, we have,

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3 years ago
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Liam is setting chairs for meeting he arranges chairs in 5 rows of the same length he has 3 chairs left over if he arranges the
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Answer:

The answer to your question is 48 chairs

Step-by-step explanation:

Data

5 rows- 3 chairs left over

3 rows - 21 chairs left over

Process

1.- Write two equations each for each situation

x = number of rows

y = number of chairs

Equation 1       y = 5x + 3

Equation 2      y = 3x + 21

2.- Solve the system by equality

                      5x + 3 = 3x + 21

                       5x - 3x = 21 - 3

                               2x = 18

                                 x = 18/2

                                 x = 9

3.- Find the total number of chairs

y = 5(9)+ 3                         y = 3(9) + 21

y = 45 + 3                          y = 27 + 21

y = 48                                y = 48

4.- Conclusion

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It’s 4 according to my calculator
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