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Paladinen [302]
4 years ago
14

What is the slope of the line through (1,-1) and (5,-7)

Mathematics
1 answer:
tiny-mole [99]4 years ago
8 0

Answer:

  -3/2

Step-by-step explanation:

The slope is the ratio of rise to run, the change in y divided by the change in x. It is often designated by the letter "m".

  m = (change in y)/(change in x) = (-7 -(-1))/(5 -1) = -6/4

  m = -3/2

The slope of the line through the given points is -3/2.

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Correctly complete this sequence: 88511, 16351, ?, 10251
Temka [501]

Answer:

73155 is the required 3rd number that will complete the sequence as: 88511, 16351, 73155 , 10251.

Step-by-step explanation:

So, let us consider 88511 and determine the pattern to find the next number and so on to complete the sequence.

Adding the first 2 digits in the number 88511 i.e.  8 + 8 = 16

Subtracting the 3rd digit from the 2nd digit i.e. 8 - 5 = 3

Multiplying the 3rd digit and 4th digit i.e. 5 × 1 = 5

Dividing the 4th digit by the 5th digit i.e. 1 ÷ 1 = 1

Hence, using these steps would get us the number 16351.

So, the next number would be obtained using same steps:

Adding the first 2 digits in the number 16351 i.e.  1 + 6 = 7

Subtracting the 3rd digit from the 2nd digit i.e. 6 - 3 = 3

Multiplying the 3rd digit and 4th digit i.e. 3 × 5 = 15

Dividing the 4th digit by the 5th digit i.e. 5 ÷ 1 = 5

Hence, using these steps would get us the number 73155.

So, the next number would be obtained using same steps:

Adding the first 2 digits in the number 73155 i.e.  7 + 3 = 10

Subtracting the 3rd digit from the 2nd digit i.e. 3 - 1 = 2

Multiplying the 3rd digit and 4th digit i.e. 1 × 5 = 5

Dividing the 4th digit by the 5th digit i.e. 5 ÷ 5 = 1

Hence, using these steps would get us the final number 10251.

So, from this pattern method, we determine that 73155 will be the 3rd number in the sequence: 88511,16351,?,10251.

So, the complete sequence would be: 88511, 16351, 73155, 10251.

Keywords: sequence, number

Learn more about sequence from brainly.com/question/12373616

#learnwithBrainly

8 0
4 years ago
Is 13/7 a rational number? how do you know?
bija089 [108]

Answer:

The fraction 13/7 is a rational number. Both 13 and 7 are integers (whole numbers), so by definition, 13/7 is a rational number

5 0
3 years ago
Which inequality is shown in this graph?
ICE Princess25 [194]
The inequality in this graph is B
8 0
3 years ago
A cylindrical waste can has a volume of 5, 667.7cubic inches and its base has a radius of 9.5 inches. Find the height of the was
butalik [34]

Answer:

height of the waste is 20.0 inches.

Step-by-step explanation:

given data

volume = 5, 667.7cubic inches

radius = 9.5 inches

solution

we use here volume of a cylinder is express as

V = πr²h     .................1

put here value

5667.7 = (3.14) × (9.5²) × h

solve it we get

h = 20 inch

so height of the waste is 20.0 inches.

4 0
3 years ago
What would be the reason? Help!!
torisob [31]

Answer:

Congruent segments added to congruent segments forms congruent segment .

6 0
3 years ago
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