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lbvjy [14]
2 years ago
8

Solve the following equation using Gaussian elimination method

Mathematics
1 answer:
9966 [12]2 years ago
4 0

Eliminate p :

2 (m + 2n + 2p) + (-1) (3m - n + 4p) = 2 (4) + (-1) 25

2m + 4n + 4p - 3m + n - 4p = 8 - 25

-m + 5n = -17

(m + 2n + 2p) + 2 (3m + 2n - p) = 4 + 2 (-4)

m + 2n + 2p + 6m + 4n - 2p = 4 - 8

7m + 6n = -4

Eliminate m :

7 (-m + 5n) + (7m + 6n) = 7 (-17) + (-4)

-7m + 35n + 7m + 6n = -119 - 4

41n = -123

Solve for n :

n = -3

Solve for m :

-m + 5 (-3) = -17

-m - 15 = -17

m = 2

Solve for p :

2 + 2 (-3) + 2p = 4

2 - 6 + 2p = 4

2p = 8

p = 4

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The distance traveled by the second hand of the clock is 0.471 m.

<h3 />

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

<h3>Formula:</h3>
  • L = 2πr∅/360.................. Equation 1

<h3> Where: </h3>
  • L = distance traveled by the tip of the second hand.
  • r = Length of the second hand
  • ∅ = angle formed by the second hand of the clock
  • π = pie

From the question,

<h3>Given:</h3>
  • r = 10 cm = 0.1 m
  • ∅ = (360×45/60) =  270°
  • π = 3.14

Substitute these values into equation 1

  • L = 0.1×2×270×3.14/360
  • L = 0.471 cm.

Hence, The distance traveled by the second hand of the clock is 0.471 m

Learn more about distance traveled here: brainly.com/question/4931057

<h3 />

7 0
3 years ago
What is the measure of angle DBA?
const2013 [10]

Answer:

DBA =110 degree

Step-by-step explanation:

angle DBA is central angle

central angle = arc angle = 110 degree

8 0
3 years ago
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I NEED HELP. What is the answer?
Lina20 [59]

Answer:

B

Step-by-step explanation:

Here’s what B has:

Min: 24

Q1: 27

Median: 31

Q3: 33

Max: 34

Although Choice A and B were really close with their five number summaries, out of the two of them, only B had a maximum value of 34, like the one in the box plot shown above.

7 0
2 years ago
State the range of the graph and explain what the graph represents.
Eva8 [605]

Answer:

The range of the graph is [-10, 10]

Step-by-step explanation:

This represents how the y-values of the graph range from -10 to 10.

Because there are no arrow marks on the ends of the graph, we know that the graph stops there at -10 and 10 and doesn't go beyond that.

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3 years ago
Lorena is designing a rectangular patio in her garden. She has enough tiles to cover 324 square feet. She wants the length of th
IceJOKER [234]

Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given by:

A = lw.

In this problem:

  • She has enough tiles to cover 324 square feet, hence A = 324.
  • She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.

Thus:

324 = w(15 + w)

w^2 + 15w - 324 = 0

w = -27 or w = 12.

We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.

The dimensions should be a width of 12 feet and a length of 27 feet.

You can learn more about the area of a rectangle at brainly.com/question/10489198

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