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belka [17]
3 years ago
7

Which of the following represents the equation of the line passing through (-4,5)

Mathematics
1 answer:
Sergio [31]3 years ago
5 0

Answer:

Answer: y=2x+13.

Step-by-step explanation:

Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).

The equation of the line in the slope-intercept form is y=5/2−x/2.

The slope of the perpendicular line is negative inverse: m=2.

So, the equation of the perpendicular line is y=2x+a.

To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.

Thus, a=13.

Therefore, the equation of the line is y=2x+13.

Answer: y=2x+13.

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Dinesh has been keeping track of his time at work over the past month. Answer the questions below using the information provided
Gala2k [10]

The total hours that Dinesh worked each week over the past month are as follows:

<h3>Dinesh's Time in Hours</h3>

                Total Hours

                   Worked

Week 1        37.500    

Week 2       36.071

Week 3      35.999

Week 4      34.570

Total          144.140

<h3>Data and Calculations:</h3><h3>Dinesh's Time in Hours</h3>

                Meetings  Administration   Project X -  Project X-  Total Hours

                                                               Design   Deliverables    Worked

Week 1        7¹/₄               4¹/₄                  23¹/₃              2²/₃

Week 2       4²/₃              2⁴/₇                  16¹/₃              12¹/₂

Week 3      3.50             3.83                9.33              19.33

Week 4      6.17                3.40                4.20              20.80

<h3>Conversion into Dinesh's Time in Hours (decimals)</h3>

                Meetings  Administration   Project X -  Project X-  Total Hours

                                                              Design   Deliverables    Worked

Week 1        7.250            4.250           23.333           2.667          37.500    

Week 2       4.667            2.571             16.333         12.500          36.071

Week 3      3.500            3.833              9.333          19.333         35.999

Week 4       6.170            3.400             4.200        20.800          34.570

Total        21.587            14.054            53.199        55.300         144.140

Thus, Dinesh's total hours worked for the past month was <u>144.140 hours</u>.

Learn more about calculating hours worked at brainly.com/question/17054097

#SPJ1

8 0
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