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Pavel [41]
3 years ago
15

Sonia wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 in² how much ribbon must she by to

have the exact amount that she needs
Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

12 in

Step-by-step explanation:

she has square pillow, so 12*12=144 sq in

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Solve the equation by completing the square x^2-3x-18=0
Alexandra [31]

Answer:

x = -3, 6

Step-by-step explanation:

First, add 18 to both sides

x² - 3x - 18 = 0

           + 18    + 18

x² - 3x = 18

Add 9/4 to both sides because that is the square of half of -3

x² - 3x + 9/4 = 18 + 9/4

Multiply both sides by 4 to get rid of the fractions

(x² - 3x + 9/4 = 18 + 9/4)4

4x² - 12x + 9 = 72 + 9 = 81

Factor the left side of the equation

(2x - 3)² = 81

√(2x - 3)² = √81

Because of the square root, this will result in a positive number and a negative number

2x - 3 = 9

2x - 3 = -9

For both equations, add 3 to both sides then divide by 2

2x - 3 = 9

     + 3   +3

2x = 12

2x/2 = 12/2

x = 6

2x - 3 = -9

    + 3   + 3

2x = -6

x = -3

4 0
2 years ago
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2
AnnZ [28]

Answer:

k = 9

Step-by-step explanation:

Given

1= x^2 - 6x

Required

The perfect number

The coefficient c of x in the above equation is:

c = -6

Divide by 2

c/2 = -3

Square both sides

(c/2)^2 = 9

Hence, the constant to add is:

k = 9

8 0
3 years ago
As of 2016, New York City has a population of 8.55 million and a land area of 300 square miles. Manhattan is a section of New Yo
sineoko [7]

Answer: 42804 people per square mile

Step-by-step explanation:

As we know Population density = \dfrac{Number\ of\ people}{Area}

Given, population of New York City =  8.55 million

Area of New York City  = 300 square miles

Then, population density of New York City = \dfrac{8.55\text{ million}}{300\text{ square miles}}

=\dfrac{8550000}{300\text{ square miles}}=28500\text{ people per square mile}   [1 million = 1,000,000]

Population of Manhattan =  1.64 million = 1640000

Area of Manhattan  = 23 square miles

population density of Manhattan = \dfrac{1640000}{23}\approx71304\text{ people per square mile}

Difference = 71304 - 28500 =42804

Hence, population density of Manhattan is 42804 people per square mile greater than that of New York City.

3 0
3 years ago
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Directions:Simplify the following monomials.
aniked [119]

Answer:

1)49a

2)-15x^2

3)-27ab^3

4)0

5-9c^2d^2

Step-by-step explanation:

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