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notsponge [240]

2 years ago

11

11) Given that the points (-1, 6), (3, 6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than t

he length?
A) -5 units
B) -4 units
C) -3 units
D) -2 units
E) -1 unit

1 answer:

quester [9]2 years ago

5 0

-1 unit is the correct answer.

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1.How many combinations are possible from the letters HOLIDAY if the letters are taken?

Lesechka [4]

Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

C. 1 combination is possible.

2. There are 245 ways to group them.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Exercise 1, item a:

One letter from a set of 7, hence:

$C_{7,1} = \frac{7!}{1!6!} = 7$

7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

$C_{7,2} = \frac{7!}{2!5!} = 21$

21 combinations are possible.

Item c:

7 letters from a set of 7, hence:

$C_{7,7} = \frac{7!}{0!7!} = 1$

1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

$T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245$

There are 245 ways to group them.

More can be learned about the combination formula at brainly.com/question/25821700

6 0

1 year ago

blondinia [14]

Answer:

22) 22

23) -350

Step-by-step explanation:

22)

1/4 = 0.25 ft

5.5 / 0.25 = 22

Answer: 22 tiles are needed

23)

12(x + 360) = 120

x + 360 = 10

x = - 350

4 0

2 years ago

Read 2 more answers

Working together, Tyler and Evan painted a fence in 8 hours. If it takes Tyler 12 hours less than it takes Evan to paint the fen

Rudik [331]

Answer:

24hours

Step-by-step explanation:

let Evan be x, Tyler=x-12,equate;1/x+1/(x-12)=1/8,to get x=24 or 4.The correct value of x=24 because if you take x=4 means that Tyler=-8hours which is impossible

8 0

3 years ago

A rectangle had a length of 4.5 units and a width of 2.67 units.

Nady [450]

Answer:

I have no answer.

Step-by-step explanation:

You need to add more information.

3 0

3 years ago

Which expression is equivalent to 6 – (–8)?<br> –6 + 8<br> –6 + –8<br> 6 + –8<br> 6 + 8

Jet001 [13]

I think that the answer would be 6+-8 because it equals -2 and 6-(-8)= -2

8 0

3 years ago