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krek1111 [17]
2 years ago
9

Rectangle LMNO is translated using the rule (x, y) → (x + 2, y + 2) to create rectangle L'M'N'O'. If a line segment is drawn fro

m point L to point L' and from point O to point O', which statement would best describe the relationship between segment L L prime and segment O O prime?
Mathematics
2 answers:
AfilCa [17]2 years ago
4 0

Answer:

Segment LL' and segment OO' are congruent (same length) and parallel (same inclination)

Step-by-step explanation:

Leno4ka [110]2 years ago
3 0

Answer:

  • Segment LL' and segment OO' are congruent (same length) and parallel (same inclination).

Explanation:

The transformation described by the rule  (x, y) → (x + 2, y + 2) is a translation two units to the right and two units up.

That means that, to create rectangle L'M'N'O', every point of the reactangle LMNO is translated the same amount in the same direction; thus, this is a rigid transformation where angles, lengths, size, shape, and orientation are kept.

Then a segment drawn from point L to L' will have the same length and the same orientation (inclination) of a segment drawn from the point O to O'. Thus, these two segments are parallel and congruent.

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Problem 11-93 Waltner Corporation s management... Waltner Corporation's management reports that its average delivery cycle time
Marat540 [252]

Complete question is;

Waltner Corporation's management reports that its average delivery cycle time is 25 days, its average throughput time is 7.7 days, its manufacturing cycle efficiency (MCE) is 0.43, its average move time is 0.3 day, and its average queue time is 3.00 days. Required: a. What is the wait time?

b. What is the process time?

c. What is the inspection time?

Answer:

A) Wait time = 17.3 days

B) Process time = 3.311 days

C) Inspection time = 0.789 days

Step-by-step explanation:

A) we are given;

Delivery cycle time = 25 days

throughput time = 7.7 days

The formula for wait time is calculated from;

Delivery time = wait time + throughput time

So, wait time = Delivery time - throughput time

Wait time = 25 - 7.7 = 17.3 days

B) The process time is calculated from;

MCE = Process time/throughput time

So, process time = MCE x throughput time

We are given MCE = 0.43,thus, and we already know throughput time. Thus;

Process time = 0.43 x 7.7 = 3.311 days

C) The inspection time is gotten from;

throughput time = Process time + Inspection time + Move time + Queue time

Making inspection time the subject;

inspection time = throughput time - Process time - Move time - Queue time

Move time = 0.3 days

Queue time = 3 days.

Thus;

inspection time = 7.7 - 3.311 - 0.3 - 3.3 = 0.789 days

3 0
3 years ago
What is the range, min, and max of the function f(x)=13-20x-x²-3x⁴
Naya [18.7K]

Answer:

  • range: (-∞, 29.4336]
  • min: -∞
  • max: 29.4336

Step-by-step explanation:

I found these using a graphing calculator. (See attached)

The function is a polynomial of 4th degree with a negative leading coefficient. (The coefficient of the 4th-degree term is -3.) Therefore, it opens downward and has a range that extends to -∞. This function only has one global maximum and no local minimum.

_____

The maximum can be found by solving the cubic equation that results from taking the derivative of this function and finding the root of that:

  df/dx = -12x^3 -2x -20 = 0

There are formulas for the solutions of a cubic, but the one negative real root of this cubic can be found easily with a graphing calculator using iteration:

  x ≈ -1.13879908894.

Dividing by -2, the above derivative function can be written as ...

  g(x) = 6x^3 +x +10

The one real zero of it can be found using Newton's Method iteration.

The Newton's Method iterator function is

  h(x) = x - g(x)/g'(x)

where g'(x) is the derivative of g(x), often available as a function on the graphing calculator.

The starting value for the iteration can be the x-value obtained from the graph: -1.139. It only takes about 2 or 3 iterations to find x to the precision of the calculator: x = h(h(x)). This x is the x-coordinate of the maximum, so f(x) is the maximum value: 29.4335546516.

__

The attachments show the function definitions and their use for finding the maximum of f(x) using a TI-84 calculator. Y₁ is the function f(x); Y₂ is its derivative, shown above as g(x). Y₃ is the iterating function, shown above as h(x). The nDeriv( ) function is a calculator function that finds the numerical derivative of its argument.

6 0
3 years ago
A school's principal wanted to give a special 'Good Luck' pencil for each student in the fifth grade. If there are 105 kids in t
Maslowich
To find the number of boxes divide the total kids by number of pencils in each box. Here 105/12 leaves remainder. It means still kids are left over. So add 1 to the quotient
105/12= 8 and remainder is 9.
So add 1 to the quotient 8 which is 9
Total pencil boxes = 9
6 0
2 years ago
Help me out please:)
NikAS [45]

Answer:

for both q I think is 12.5% but Im not that sure I'm sorry

7 0
3 years ago
Help me pls what is the perpendicular line
kirza4 [7]

Answer:

-2

Step-by-step explanation:

3 0
3 years ago
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