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Serga [27]
3 years ago
12

What is the slope of line m?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Given:

A straight line goes through (-2,1), (0,0), and (2,-1).

To find:

The slope of the given line.

Solution:

Slope formula

m=\dfrac{y_2-y_1}{x_2-x_1}

Consider any two points from the given points.

The line goes through (-2,1) and (0,0). So, the slope of the line is

m=\dfrac{0-1}{0-(-2)}

m=\dfrac{-1}{2}

Therefore, the slope of the line is m=-\dfrac{1}{2}.

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FASTTTTTTTTT PPPPPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZ
Deffense [45]

Answer:

(a) B

(b) $2

Step-by-step explanation:

(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

12t + 8p = 184

9t + 6p = 138

We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

3 * (12t + 8p = 184)

4 * (9t + 6p = 138)

We get:

36t + 24p = 552

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    36t + 24p = 552

________________

       0 = 0

Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.

(b) Our equation from this, if we still use t and p, is:

5t + 4p = 82

Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:

5t + 4p = 82

9t + 6p = 138

To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:

6 * (5t + 4p = 82)

4 * (9t + 6p = 138)

We get:

30t + 24p = 492

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    30t + 24p = 492

________________

      6t + 0p = 60

So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

50 + 4p = 82

4p = 32

p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

5 0
3 years ago
Read 2 more answers
HELP MEEEEE ITS THE LAST QUESTION AND IM SO LOST PLEASE HELP
V125BC [204]
It’s either 0 or 1.2
7 0
2 years ago
Rachel says she is 5 feet tall. Her friend measured her height as 60 inches.Determine if these two measurements are equal
zhenek [66]
They are. There are 12 inches in a foot. 5x12 does equal 60 so they are equal.
5 0
3 years ago
CAN SOMEONE PLEQSE HELP ME? WORTH 50 POINTS !! SCREENSHOT TO SEE BETTER
ruslelena [56]

Answer:

1. 157 in³

2. 12 in

3. volume of the rice container is 1.5 times the volume of the sugar container

4. 50.24 in³

5. Rice container has the greatest volume

Flour container has the smallest volume

Step-by-step explanation:

By inspection of the diagram, the three containers are all cylinders.

Volume of a cylinder = \pi r^2h

(where r is the radius and h is the height)

Given \pi = 3.14

1. volume of sugar container = 3.14 x 2.5² x 8 = 157 in³

2. 235.5 = 3.14 x 2.5² x h

⇒ 235.5 = 19.625h

⇒ h = 235.5 ÷ 19.625 = 12 in

3. height of sugar container = 8 in

   height of rice container = 12 in

  12 ÷ 8 = 1.5

⇒ height of rice container is 1.5 times the height of the sugar container

volume of sugar container = 157 in³

volume of rice container = 235.5 in³

235.5 ÷ 157 = 1.5

⇒ volume of the rice container is 1.5 times the volume of the sugar container

4. volume of flour container = 12.56 x 4 = 50.24 in³

5.  volume of sugar container = 157 in³

    volume of rice container = 235.5 in³

    volume of flour container = 50.24 in³

Rice container has the greatest volume

Flour container has the smallest volume

8 0
2 years ago
an airplanes altitude changed -531 feet over 9 minutes.what was the mean change of altitude in feet per minute.
andrezito [222]

Answer:

-59 feet per minute

Step-by-step explanation:

-539/9 = -59

7 0
3 years ago
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