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Dvinal [7]
2 years ago
6

Which set of equations would have infinitely many solutions? JUSTIFY your answer in #4.

Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

Answer:

2nd option: 2y=6x+8 and y=3x+4

Step-by-step explanation:

If you divide the first by 2, you get the second equation.

This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.

In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.

Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation

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17.Which of the following is the equation of a line parallel to y-axis?
AlexFokin [52]

Answer:

I think that the answer is a

7 0
2 years ago
Which ordered pair is a solution of this<br> equation?<br> -3x + 7y - 6<br> =
Mumz [18]

Answer:

There are actually an infinite number of ordered pairs that will satisfy the equation y=3x+7 including (-1,4), (0,7) and (1, 10).

Step-by-step explanation:

5 0
2 years ago
The points in the table lie on a line. find the slope of the line.
MatroZZZ [7]

Answer:

  -7/6

Step-by-step explanation:

The slope formula can be used with any pair of points.

  m = (y2 -y1)/(x2 -x1)

  m = (1 -8)/(-2 -(-8)) = -7/6

The slope of the line is -7/6.

5 0
2 years ago
A heated piece of metal cools according to the function c(x) = (.5)x − 11, where x is measured in hours. A device is added that
e-lub [12.9K]
16.5 degrees below the starting temp, whatever that is. If its 0, then -16.5 degrees.

The first equation would be (.5)5-11=-8.5, because the metal has been cooling for 5 hours.

The device that 'aids' in the cooling would be -5-3=-8, because it is a separate variable that cools the metal, so the amount the device cools is independent of the natural cooling amount, and the equation is independent of the natural cooling equation.
You then add -8.5 and -8, because the device has lowered 8.5 degrees and 8 degrees. This equals -16.5 degrees, or a decrease of 16.5 degrees.
7 0
3 years ago
Plz help I’ll mark you
timurjin [86]

Answer:

A 1/2

Step-by-step explanation:

Ratio of short length to hypotenuse

= cos60

= 1/2

4 0
3 years ago
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