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Zigmanuir [339]
3 years ago
12

Find the approximate length of segment GH on the graph.

Mathematics
2 answers:
Stella [2.4K]3 years ago
6 0
You could use the distance formula, but another way is the Pythagorean theorem.

3² + 5² = c²
9 + 25 = c²
34 = c²
c = 5.83
Rounded = c = 6
AfilCa [17]3 years ago
5 0
On the y-axis segment GH starts at 2 and goes to 5. Therefore using 5-2 you get 3, the length of GH
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Talja [164]

Answer:

  • The system has infinitely many solutions when a = 3/4 and b = 1/2

<h3>Given </h3>

System of linear equations

  • ax +by = 16
  • 3x+2y=64

<h3>To find </h3>

  • Values of a and b that leads to infinitely many solutions

<h3>Solution</h3>

The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.

We can solve it in two different ways

1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.

  • 4ax + 4by = 64
  • 3x + 2y = 64

When compared it gives us:

  • 4a = 3 ⇒ a = 3/4
  • 4b = 2 ⇒ b = 2/4 = 1/2

2. Convert both equations from standard to slope-intercept form and compare:

  • ax + by = 16
  • by = -ax + 16
  • y = - (a/b)x + 16/b

  • 3x + 2y = 64
  • 2y = - 3x + 64
  • y = - (3/2)x + 32

Work out values of a and b:

  • 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
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3 0
1 year ago
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