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gladu [14]
3 years ago
9

Determine which of the lines, if any, are parallel or perpendicular. Explain.

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

Line a: -x+2y=3

                 2y = x + 3

                  y = (1/2)x + 3

Line b: -6x=3y-1

             -3y = 6x - 1

               y = -2x + (1/3)

Line c: 4x-8y=5

              -8y = -4x + 5

                y = (1/2)x - (5/8)

Parallel lines have the same slope (m).  Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.

Slopes, m, for the lines are;

  • a)  (1/2)
  • b)  -2
  • c)  (1/2)

The negative inverse of (1/2) is -2.

Lines a and c are parallel (same slope)

Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2

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Answer:

g(x), and the maximum is 5

Step-by-step explanation:

for given function f(x), the maximum can be seen from the shown graph i.e. 2

But for the function g(x), maximum needs to be calculated.

Given function :

g (x) = 3 cos 1/4 (x + x/3) + 2

let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)

g(x)= 3 cos1/4(0 + 0) +2

    = 3cos0 +2

     = 3(1) +2

     = 3 +2

     = 5 !

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3 years ago
Robbie was given $80 to spend at the Fair. His admission to the park costs $15.50 and each ride cost $5. He anticipates the cost
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Answer:

7 or 8

Step-by-step explanation:

Robbie was given $80.

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He anticipates the cost of food at the fair will be $25.

64.50 - 25 = $39.50

What is the maximum number of rides he can take at the Fair?

(Total $ after admission and cost of food/ ride cost)

$39.50 / $5 = 7.9

4 0
3 years ago
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1,5

Step-by-step explanation:

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Y is inversely proportional to the square of x. If Y = 9 when x = 2, then what is y, when x is 10?
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Answer:

y = 0.36

Step-by-step explanation:

Given y is inversely proportional to x² then the equation relating them is

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