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madreJ [45]
3 years ago
10

Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than

a side of the smaller square. The area of the larger square is how many square inches greater than the area of the smaller square?

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


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A kite is flying 9.75 feet above a lamp post that is 84 2/3 feet tall. How high is the kitchen flying?
Elden [556K]

The kite is flying at the height of 94 5/2 feet.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

= 9.75 +84 2/3                                               { 9+0.75 = 9.75   84 2/3}

= 9 + 0.75 +84 2/3                                           { a+b+c+d = a+c+b+d}

= 9 + 84 + 3/4 + 2/3

=93 + 3*3 / 4*3 + 4*2 / 4*3

= 93 + 9/12 + 8/12

= 93 + 17/12

= 93 + (1 + 5/12)

= 94 + 5/12

=94 5/12 feet

{kite height = (post height + the height of the kite above the post)

To learn more about addition from given link

brainly.com/question/24536701

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8 0
1 year ago
Y=1/4x−2y=−2x+3 help solve problem.
8_murik_8 [283]

Answer:

  (x, y) = (2 2/9, -1 4/9)

Step-by-step explanation:

Equate the values of y and solve for x.

  1/4x -2 = -2x +3

  (2 1/4)x = 5 . . . . . . . . add 2+2x to both sides

  x = 20/9 = 2 2/9 . . . multiply by 4/9

  y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation

  y = -1 4/9

The solution is x = 2 2/9, y = -1 4/9.

7 0
2 years ago
Holly spends 7 3/5 hours in school each day. Her lunch is 1/2 hour long, and she spends 7/10 of a hour switching classes. The re
Ira Lisetskai [31]
<span>
y = 7 + 3/5
y = 35/5 + 3/5
y = 38/5
y = 2*(38/5)
y = 76/10
---
lunch time:
z = 1/2
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15

x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666

answer:
 1.07 hours</span>
5 0
3 years ago
I have 4 times as much money as my brother has. our total is $55.how much does each of us have?
babymother [125]

Answer:

You have 44$, your brother has 11$.

Step-by-step explanation:

Let x be the amount of money your brother has.

Since you have four times the amount of money your brother has, we can call the amount of money you have 4x.

x+4x=55,\\5x=55,\\x=\boxed{\$11}

Thus, you have:

4(11)=\boxed{\$44}

5 0
2 years ago
Read 2 more answers
Tiana is on a 25-foot ladder that is leaning against her house. Its base is 7 feet from the base of the house. The ladder slips
Lostsunrise [7]

Answer:

4 ft downwards

Step-by-step explanation:

old height off the ground :

7^2+b^2=25^2

49+b^2=625

b^2=576

b=24

new height off the ground :

7+8=15

15^2+ b^2 =25^2

225+b^2 = 625

b^2 = 400

b=20

difference between heights :

24 - 20 =  4

4 0
3 years ago
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