MATHEMATICS MIDDLE SCHOOL

A rectangular plot of land has vertices located at (2, 8), (2, 2), (–4, 2), and (–4, 8). Melissa says the area is 36 square units. What do you think about Melissa’s solution?

Answers

Answer 1
Answer:

Melissa's solution is correct.

Explanation:

A(2, 8),  B(2, 2), C(–4, 2), and D(–4, 8)

Length of AB = √((x_2-x_1)^2 + (y_2-y_1)^2)

                        =√((2-8)^2+(2-2)^2) \n\n= √(36) \n\n= 6

Length of BC = √((x_2-x_1)^2 + (y_2-y_1)^2)

                     = =√((-4-2)^2+(2-2)^2) \n\n=√(36) \n\n= 6

Area of rectangle = length X breadth

                             = 6 X 6

                             = 36 square units.

Therefore, Melissa's solution is correct.

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Please help me ASAP!! #1-20 both pages please, thanks!!! :D

Answers

This is all easy!

1st page (attached)
#1 = 6(x + 3)                                 #11 = 5n - 40
#2 = 4x + 28                                 #12 = 30 + 54x
#3 = 27n + 45                               #13 = 6(4 + 3a)
#4 = 4(x - 8)                                  #14 = 88 - 66w
#5 = 5(3x - 1)                                #15 = 6(7 - 6x)
#6 = 6(5p + 3)                               #16 = 250m + 75
#7 = 24x + 56                               #17 = 2(3 + 7x)
#8 = 63a + 84                               #18 = 30p - 40
#9 = 6(7 + y)                                 #19 = 14n + 12
#10 = 3c + 12                               #20 = 10(4w + 7)

2nd page: (attached)
#1 = 5(x + 4)                                   #2 = 3x + 18
#3 = 32n + 24                                 #4 = 7(x - 5)
#5 = 6(2x - 1)                                  #6 = 4(5p + 4)
#7 = 18x + 82                                 #8 = 30 + 65a
#9 = 9(4 + y)                                  #10 = 6c + 48
#11 = 7n - 21                                 #12 = 24 + 20x
#13 = 3(7 + 5a)                              #14 = 20 - 16w
#15 = 4(8 - 3x)                               #16 = 20m - 70
#17 = 4(2 + 9x)                              #18 = 66 + 44p
#19 = 100n + 200                          #20 = 10(2w + 3)

Check for the signs when writing them down in your workbook.

Subtract. Write your answer as a fraction in simplest form. 3 3/4 - 7/8

Answers

I find that fractions can be tricky, so I convert them to decimals before subtracting.

3 3/4 = 3.75

7/8 = 0.875

3.75 - 0.875 = 2.875

Knowing that 0.875 = 7/8, we now know that our answer is 2 7/8.

Hope this helps!

What is 7 - (4 2/3) = to ?

Answers

Answer: 2.33333333333

Step-by-step explanation:

Answer:

6.34

Step-by-step explanation:

(4 2/3)= 0.66

7-0.66= 6.34

The working out for 637 divided by 13

Answers

I thing the answer you are looking for is 49 
637:13=49
The calculations are also in attachment :)

The points scored by a basketball team in its last 6 gamesare shown. Use these data for 7 and 8.Points Scored73 77 85 84 37 1157. Find the mean score and the median score.MeanMedians. Which measure better describes the typical number of points scored?Explain.

Answers

the median is 73 and the mean is 60.6 (rounded to the nearest tenth). Mean better describes the typical number of points scored.

Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over years. If bought the same number of movies each year ,how mamy movies did joe buy last year ?

Answers

Answer: Joe bought 27 DVDs movies last year.

Step-by-step explanation:

Since we have given that

Number of DVD movies Joe has a collection = 35

Number of DVDs as gifts out of them = 8

So, Rest of his movies over years is given by

35-8=27

According to question, if he bought the same number of movies each year.

Hence, Joe bought 27 DVDs movies last year.
Subtract 35-8=27 then take that and divide by how many years he's been buying movies and you have your answer
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