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sergey [27]
3 years ago
9

explain why in a drawer only containing two different colors of socks one must pull 3 out to find a matching pair?

Mathematics
1 answer:
Lorico [155]3 years ago
8 0
If there are only two colors (let's say blue and red), here's what can happen:
sock #1 is blue
#2 is either blue or red. If blue, it matches #1 and you have a pair.
if red, go to #3
#3-either blue or red. If blue, matches #1. If red, matches #2.

OR sock #1 is red... then just reverse the colors. Basically, if you have three things that can only be in two groups, then even if two of them are different, the last one has to match one of them.

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Rearrange the steps to solve for the following equation: 2(x-5)=8
OlgaM077 [116]

Answer:

x=9

Step-by-step explanation:

2(x-5)=8          | Given

(2x-10)=8        | Distribute the 2 inside the parentheses

2x=8+10           | Add 10 to both sides

2x=18                 | Add. <em>Optional; not included in your question.</em>

<em />x=9<em>                    </em>| Divide by 2 on both sides.

<em />

4 0
2 years ago
The vertices of a triangle are labeled clockwise A(–5, 3), B(6, 1), and C(–2, –3). How could you show that the figure is a right
mafiozo [28]

Explanation:

When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.

___

If you have studied vectors, you can find the dot product of AC with BC:

  AC = (-5, 3) -(-2, -3) = (-3, 6)

  BC = (6, 1) -(-2, -3) = (8, 4)

The dot product is ...

  (-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0

When the dot product of vectors is zero, they are perpendicular.

5 0
3 years ago
triangle is graft on a coordinate grid and then translated three units to the left in two units up. Of one vertice of The origin
dsp73

Answer: 33

Step-by-step explanation:

5 0
2 years ago
Kelsey says that to solve the equation 3x + 6 = 24, the first step should be to subtract 6 from each side of the equation. Dana
NNADVOKAT [17]

Answer:

Kelsey is correct.

Step-by-step explanation:

One of the rules when solving an equation is that you need to isolate the variable, meaning that it just needs to be x by itself. To do that, you would need to start by subtracting 6. If you were to divide by 3 first, the answer would be twice what it should be.

7 0
3 years ago
Need help with this question
geniusboy [140]

Answer:

450

7,500 + 450

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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