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kozerog [31]
4 years ago
15

Quadrilateral KLMN has vertices of K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4) Find the length of MN

Mathematics
1 answer:
Olenka [21]4 years ago
3 0

Answer:

The length of MN is \sqrt{5} units.

Step-by-step explanation:

The given Quadrilateral KLMN has vertices at K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4).

We use the distance formula to find the length of MN.

|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We plug in the values to get

|MN|=\sqrt{(-4--2)^2+(-4--5)^2}

|MN|=\sqrt{(-2)^2+(1)^2}

|MN|=\sqrt{4+1}

|MN|=\sqrt{5}

The length of MN is \sqrt{5} units.

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Malloy solved the equation −5x − 16 = 8; his work is shown below. Identify the error and where it was made. −5x − 16 = 8 Step 1:
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Read 2 more answers
10. MJ and Peter Parker leave school traveling in opposite
Paladinen [302]

Using proportions, it is found that:

  • Peter is walking at a rate of 3 km/h.
  • MJ is biking at a rate of 9 km/h.

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  • Peter is walking at a rate of x km/h.
  • MJ is biking 6 km/h faster than Peter, thus 6 + x km/h.
  • Opposite directions, thus, their distance increases at a rate of (6 + 2x) km each hour, as 6 + x + x = 6 + 2x.

6 + 2x km each hour, 18 km after 1.5 hours, thus, the rule of three is:

1h - (6 + 2x) km

1.5h - 18 km

Applying cross multiplication:

1.5(6 + 2x) = 18

9 + 3x = 18

3x = 9

x = \frac{9}{3}

x = 3

x + 6 = 3 + 6 = 9

Then:

  • Peter is walking at a rate of 3 km/h.
  • MJ is biking at a rate of 9 km/h.

A similar problem is given at brainly.com/question/24112433

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2 years ago
Please help me fill in the blanks :) marking most Brainly
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Answer:

For the part that contains organic matter your answer is, 35 negative result

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If we pay attention to the part that contains organic matter the total amount 700 and 665 is positive, so subtract them 700-665 to get 35 negative result

For the part that does not contain organic matter the total amount is 300, and 240 of it is negative, so subtract 240 from 300 to get 60 positive result

Your Welcome, Hope This Helps, And Have an Awesome Day!!!

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