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KiRa [710]
3 years ago
13

Write the equation of the line passing through the given point T (-6,2) and is parallel to the line

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

y = \frac{2}{3} x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{2}{3} x ← is in slope- intercept form

with slope m = \frac{2}{3} and c = 0

Parallel lines have equal slopes , thus

y = \frac{2}{3} x + c ← is the partial equation

To find c substitute (- 6, 2) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = \frac{2}{3} x + 6 ← equation of parallel line

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Answer:

Part 1: How's the weather? Investigate the weather forecast in your city.

Record the high and low temperatures that are forecast for the next 7 days in the table below. In the columns titled, Difference," record the change in temperature from the day before. To do this, subtract the previous temperature from the current temperature Be sure to use positive and negative numbers as needed! For example, if yesterday’s temperature was 70 and today’s temperature was 65, the difference is 65 – 70 = -5.

Date

High Temperature

Subtract previous temperature from current temperature

Difference

Low Temperature

Subtract previous temperature from current temperature

Difference

1

10-24-21

75

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-N/A-

57

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2

10-25-21

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6

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81

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10-27-21

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81

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10-29-21

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-6

Note: The columns for Day One's subtraction and difference cannot be filled in. As this is the first data point, there is no previous temperature to subtract.

Write a mathematical expression using the information from your table to answer the following questions:

What is the mean change in the forecaster high temperatures? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.

What is the mean change in the forecaster low temperatures? Remember, this can be found by averaging the values in the Difference column for the low temperatures. If your answer is not an integer, explain what two integers your answer is between.

Step-by-step explanation:

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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

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3 years ago
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4 years ago
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