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Elena L [17]
3 years ago
9

Segment XY represents the path of an airplane that passes through the coordinates (2, 1) and (4, 5). What is the slope of a line

that represents the path of another airplane that is traveling parallel to the first airplane?
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

2

Step-by-step explanation:

Firstly, we will need to calculate the slope of the line formed by joining the coordinates.

The slope of that line would be : m = (y2 - y1)/(x2 - x1)

= (5 - 1)/(4 - 2) = 4/2 = 2

The slope of the line joining the coordinates is 2. Since the other line is parallel to this, it simply means the slope of the second line is 2. This is because of two lines are parallel, they will have the same slope.

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Can you please help me. I think it is x=0 and x=3
stiks02 [169]
When the graph is constant, you have to look for when it draws a straight line. 
Look at the x axis, since it asks for the x value. 

Your answer is correct! When x = 0, to x = 3, the function is constant. 

6 0
3 years ago
As every Girl Scout knows, statistics teachers seriously love Girl Scout Cookies. The number of boxes of GS cookies statistics t
Alexandra [31]

Answer:

a) 0.75

b) 0.0625

c) 0.1875

d) 0.375

Step-by-step explanation:

Let's start by first finding the probability a teacher orders 6 boxes. Since it is a four sided dice, the probability of getting a 1 is going to be 0.25.

Similarly, for any other number on the dice, the teacher orders 2 boxes. We can think of this as NOT rolling a 1. Using our previous answer, this comes out to be: 1 - 0.25 = 0.75

It should be remembered in the following answers that teachers ordering 6 or 2 boxes are not influenced by the results of other teachers. These are statistically independent events.

a) As given above, this probability is 0.75

b) The probability that both teachers order 6 boxes will be their individual probabilities multiplied. This comes out to be: 0.25 x 0.25 = 0.0625

c) Like in part (b), this is both of their probabilities multiplied:

   0.25 x 0.75 = 0.1875

d) This is nearly the same as part (c), but with a little twist. The order matters. There are two scenarios:

  1.   First teacher gets 6 boxes, and the second gets 2.
  2.   First teacher gets 2 boxes, and the second gets 2.

Both of these events have a probability of 0.1875, as shown in (c). To get the total probability of this event happening, we must add these together:

0.1875 + 0.1875 = 0.375

4 0
3 years ago
The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 3 ft. By how many
Citrus2011 [14]

Answer: 18.86 feet

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = πD

Where D represents the diameter of the circle.

The circumference of the inner circle is 44 ft. It means that

22/7 × D = 44

22D = 7 × 44 = 308

D = 308/22

D = 14 ft

The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be

14 + 3 + 3 = 20 ft

Circumference of the outer circle is

22/7 × 20 = 62.86 ft

The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is

62.86 - 44 = 18.86 feet

5 0
3 years ago
Work out 2.6 cos 12° rounded to 2 d.p.
AlexFokin [52]

Answer:

2.54. Calculate the approximate value:2.6 *

Step-by-step explanation:

8 0
2 years ago
Austin Family Furniture purchases recliners directly from the manufacturer for $235.00 each. The recliners are marked up 185% of
Elina [12.6K]
235 times 1.85= 434.75
434.75+ 235=669.75
3 0
3 years ago
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