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Illusion [34]
3 years ago
10

What is the slope of the line through (2,9) and (5,3) A. 2 B. 1/2 C. -1/2 D. -2

Mathematics
1 answer:
faust18 [17]3 years ago
5 0

Answer: The answer is D.-2

Step-by-step explanation:

slope=  \frac{y2-y1}{x2-x1} \\slope= \frac{3-9}{5-2}\\slope= \frac{-6}{3}\\slope = -2

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Cerrena [4.2K]

Answer:C(x) = 2000+ 0.05 x

Step-by-step explanation: Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.

6 0
1 year ago
A cone with radius 4 ft and a height of 36 inches, use 3.14 as your value of pi, what is the volume?
Lelu [443]
Https://www.khanacademy.org/math/basic-geo/basic-geo-volume-surface-area/basic-geo-volumes/v/volume-....
use V=TT r2 h/3
4 0
3 years ago
[02.05] Marcie solved the following inequality, and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6
Nezavi [6.7K]
Hi there! Marcie made a mistake in the last step of the solving process.

Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)

First work out the parenthesis, which can for instance be done using rainbow method.

−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.

Now we can collect the terms.
−2x − 2 ≤ 6x + 22

The terms are collected correctly.

Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24

This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!

x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be x \geqslant - 3

~ Hope this helps you!
4 0
3 years ago
The circumference of a circle is 3π in.
11111nata11111 [884]

Answer:

  2.25π in²

Step-by-step explanation:

The area can be found from the circumference using the formula ...

  A = C²/(4π)

Putting in the given dimension, you have ...

  A = (3π)²/(4π) = (9/4)π = 2.25 π . . . . in²

6 0
3 years ago
True or false????????????
Naddika [18.5K]
False for every rate there is only one unit rate. there is however more than 1 rates for one unit rate. for example 4/2 would have 2/1 as a unit rate but 2/1 can have 4/2 and 8/4 as rates and so on. hope this helps good luck!
8 0
3 years ago
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