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DIA [1.3K]
3 years ago
8

Which of the following is the solution to |x|+5<1

Mathematics
1 answer:
n200080 [17]3 years ago
3 0

Answer: No solutions

Step-by-step explanation:

|x|+5<1

Subtract 5 from both sides.

|x| < -4

No solutions is possible

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HELP! Which points could be on the line that is parallel to gh and passed through point J ? Check all that apply
denis23 [38]
The first thing we are going to do in this case is find the slope of the GH line.We have then:
 m = (y2-y1) / (x2-x1)
 Substituting values:
 m = (- 2-1) / (2 - (- 4))
 m = (- 3) / (6)
 m = -1 / 2
 Then, the generic equation of the line is:
 y-yo = m (x-xo)
 Since the lines are parallel, then the slope is the same
 m = -1 / 2
 The line passes through point J, that is:
 (xo, yo) = (1, 3)
 The equation of the line will then be:
 y-3 = (- 1/2) (x-1)
 Rewriting:
 y-3 = (- 1/2) x + 1/2
 y = (- 1/2) x + 1/2 + 3
 y = (- 1/2) x + 7/2
 The points that pass through this line are:
 (-3, 5)
 5 = (- 1/2) (- 3) +7/2
 5 = 3/2 + 7/2
 5 = 10/2
 5 = 5
 (3, 2)
 2 = (- 1/2) (3) +7/2
 2 = -3 / 2 + 7/2
 2 = 4/2
 2 = 2

 (5, 1)
 1 = (- 1/2) (5) +7/2
 1 = -5 / 2 + 7/2
 1 = 2/2
 1 = 1
 Answer:
 (-3, 5)
 (3, 2)
 (5, 1)
3 0
3 years ago
Read 2 more answers
The pep squad sold c, cheeseburgers and h, hothogs at the friday night football game. A total of 220 were sold. There were 3 tim
tatiyna

Answer:

  • c + h = 220
  • h = 3c

Step-by-step explanation:

The total sold is the sum of the individual numbers sold, hence c+h.

We assume "3 times more" means "3 times as many", so the number of hotdogs sold (h) is 3 times the number of cheeseburgers sold (c), hence 3c.

  c + h = 220

  h = 3c

_____

55 cheeseburgers and 165 hotdogs were sold.

6 0
3 years ago
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