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crimeas [40]
3 years ago
7

Three of these expressions give the distance between point A and point B on the number line

Mathematics
1 answer:
frutty [35]3 years ago
6 0

Answer:

Option A does not give the right expression.

Step-by-step explanation:

On the number line if there are two points P(a) and Q(b) given by coordinates a and b, then the distance between those two points will be given by  

d = |a - b| ......... (1)

which is independent of the position of the points.

Therefore, if point A is at - 3.5 and point B is at 7.5, then the distance between point A and point B will be given by  |7.5+3.5| or |- 3.5-7.5| or |7.5-(-3.5)|, but not by  |7.4-3.5|.

Hence, option A does not give the right expression. (Answer)

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12x - 2y = -1<br>+ 4x + 6y= -4<br>​
svp [43]

Answer:

x = -7/40 , y = -11/20

Step-by-step explanation:

Solve the following system:

{12 x - 2 y = -1 | (equation 1)

4 x + 6 y = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{12 x - 2 y = -1 | (equation 1)

0 x+(20 y)/3 = (-11)/3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = -1 | (equation 1)

0 x+20 y = -11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = -1 | (equation 1)

0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

{12 x+0 y = (-21)/10 | (equation 1)

0 x+y = -11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7)/40 | (equation 1)

0 x+y = -11/20 | (equation 2)

Collect results:

Answer:  {x = -7/40 , y = -11/20

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3 years ago
99 POINTS
Marina CMI [18]

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