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garik1379 [7]
1 year ago
7

Use the base example of two people walking to describe a system of two linear equation has i.) 0 solution 2) 1 solution 3) an in

finite solution
Mathematics
1 answer:
sveta [45]1 year ago
7 0

The system has:

  • No solutions for two parallel lines.
  • 1 solution for two nonparallel lines.
  • Infinite solutions for two equations that describe the same line.

<h3>How to identify the number of solutions for the systems?</h3>

A system of two linear equations is given by:

y = a*x + b

y = c*x + d

1) The system has no solutions when both lines are parallel lines, this happens when both lines have the same slope and different y-intercept.

y = a*x + b

y = a*x + d

2) The system has one solution when the lines have different slopes:

y = a*x + b

y = c*x + d

3) The system has infinite solutions when both equations describe the same line:

y = a*x + b

y = a*x + b

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

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Find the midpoint of the line segment joining the points (-2,-2) and (-4,9).
11Alexandr11 [23.1K]

Answer:

The answer is

<h2>( - 3 \: , \:  \frac{7}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,-2) and (-4,9).

The midpoint is

M = ( \frac{ - 2 - 4}{2}  \:  , \:  \frac{ - 2 + 9}{2} ) \\  = ( -  \frac{6}{2}  \: , \:  \frac{7}{2} )

We have the final answer as

( - 3 \: , \:  \frac{7}{2} )

Hope this helps you

4 0
2 years ago
After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l
Alenkasestr [34]

Answer:

  d(t) = -20t -260

Step-by-step explanation:

We are given two points ...

  (t, d) = (3, -320) and (8, -420)

The 2-point form of the equation of a line can be useful when 2 points are given.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Substituting the given points, we have ...

  d(t) = (-420 -(-320))/(8 -3)(t -3) -320

  d(t) = -20(t -3) -320

  d(t) = -20t -260

5 0
3 years ago
Dylan's hiking club is planning to stay overnight at a camping lodge. Each large room can hold 15 hikers. There are 168 hikers.
sukhopar [10]

Answer:

you would need 12 rooms

Step-by-step explanation:

168/12=11.2  so you would have 11 full rooms and then a room for the leftover two

4 0
2 years ago
Read 2 more answers
suppose there is a 1.1 degree F drop in temperature every thousand feet that an airplane climbs into the sky. if the temp on the
Aleks04 [339]

For this case, the first thing we must do is define variables.

We have then:

x: altitude of the plane in feet

y: final temperature

The equation modeling the problem for this case is given by:

y = - \frac{1.1}{1000} x + 59.7

Thus, evaluating the function for x = 11,000 ft. Height we have:

y = - \frac{1.1}{1000} (11000) +59.7

y = 47.6

Answer:

the temperature at an altitude of 11,000 ft is 47.6 F

4 0
2 years ago
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Select the two points that the line would go through. Practice on a piece of paper in front of you.
Mama L [17]

Answer:

  • (1,-3), (2,-2)​

Step-by-step explanation:

The graph passes through (3, -1) and (0, -4)

<u>The slope is:</u>

  • (-4 - (-1))/-3 = -3/-3 = 1

<u>The y-intercept is given</u>: -4

<u>The line is:</u>

  • y = x - 4

See the graph

<u>The points plotted as well and those on the line are:</u>

  • (1,-3)
  • (2,-2)​

5 0
2 years ago
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