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lara31 [8.8K]
3 years ago
7

Enter an equation in point-slope form for the perpendicular bisector of the segment with endpoints M(−3, 7) and N(9, −3). The po

int-slope equation of the perpendicular bisector is .
Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

5y - 6x = 53

Step-by-step explanation:

Given the segment with endpoints  M(−3, 7) and N(9, −3), let us find the slope first

m = y2-y1/x2-x1

m = -3-7/9-(-3)

m = -10/12

m = -5/6

Since the unknown line forms a perpendicular bisector, the slope of the unknown line will be:

m = -1/(-5/6)

m = 6/5

To get the intercept of the line, we will substitute m = 6/5 and any point on the line say (-3, 7) into the equation y = mx+c

7 = 6/5 (-3)+c

7 = -18/5 + c

c = 7 + 18/5

c = (35+18)/5

c = 53/5

Substitute m = 6/5 and c = 53/5

y = 6/5 x + 53/5

multiply through by 5

5y = 6x + 53

5y - 6x = 53

hence the point-slope equation of the perpendicular bisector is 5y - 6x = 53

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maks197457 [2]

Answer:

because 1+1 adds up to 2

Step-by-step explanation:

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cc is guaranteed the larger of $500 per week or 7% of sales. last week she 4 sold $6785. How much was her check for?​
weeeeeb [17]

Answer:

Step-by-step explanation:

6785*7%=474.95 in commission

500 per week salary is more

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mauricio estimates that the first module of the project could be completed in as few as 15 days or could take as many as 25 days
4vir4ik [10]

Answer:

<em>Most likely time, </em>according to PERT (Program evaluation and review technique).

Step-by-step explanation:

PERT is "a statistical tool used in <em>project management" (Program evaluation and review technique (2020), </em>in Wikipedia), and it is commonly used with CPM <em>(Critical Path Method)</em> to manage projects.

Inside PERT, there are different defined times to accomplished an activity in a project, that is:

  • An <em>optimistic time</em> or minimum time required to accomplished an activity, i.e., if everything goes better than normal, the activity is accomplished before expected.
  • A <em>pessimistic time, </em>a time quite the opposite to optimistic time.
  • A <em>most likely time</em>, or a time required to accomplished an activity if everything goes as expected or normally.
  • An <em>expected time</em>, an statistical estimation.

Considering the question, we have that the <em>time</em> when "the first module of the project could be completed":

  • "[...] in as few as 15 days"  is the <em>optimistic time</em>.
  • "[...] or could take as many as 25 days" is the <em>pessimistic time</em>.
  • "[...] but most likely will require 20 days" is the <em>most likely time</em>.

As a result, the <em>20-day estimate</em> is called the <em>most likely time</em> in the context of the PERT/CPM techniques.

3 0
3 years ago
If v lies in the first quadrant and makes an angle π/3 with the positive x-axis and |v| = 8, find v in component form.
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Answer:

amdlkmflakmflkmasdklmflkansdlkfwelkma;lkdsmlfdsnalkme;klamdlfsndldkanfdlknadlkfn;alkndflkandslknaslfknalkdfnladkfsnlkandslfkn

Step-by-step explanation:

3 0
3 years ago
Of 5
patriot [66]

Answer:

Let me take 2,3,3 be 2x, 3x, 3x

Colin = 2x

Natasha = 3x

Angad = 3x

The equation forms to find out the value of x

2x + 3x + 3x = 48

=> 8x = 48

=> x = 48/8

=> x = 6

So share of Colin = 2x = £(2×6) = £12

Share of Natasha = 3x = £(3×6) = £18

share of Angad = 3x = £(3×6) = £18

For proof

£12 + £18 + £18 = £48

Hope it helps

8 0
3 years ago
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