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3 years ago

Write the equation of a

Mathematics

1 answer:

tia_tia [17]3 years ago

3 0

If the diameter is -3 to 3 then the diameter is 6 so the radius is 3. the equation would be x^2 + y^2 = 9. fyi i found this somewhere else online. i do this a completely different way and am not sure if this is correct.

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Solve |3k-2|=2|k+12|

Stella [2.4K]

Answer:

$k = 26$ or $k = -\dfrac{22}{5}$

Step-by-step explanation:

|3k - 2| = 2|k + 12|

$\dfrac{|3k - 2|}{|k + 12|} = 2$

$|\dfrac{3k - 2}{k + 12}| = 2$

$3k - 2 = 2(k + 12)$ or $3k - 2 = -2(k + 12)$

$3k - 2 = 2k + 24$ or $3k - 2 = -2k - 24$

$k = 26$ or $5k = -22$

$k = 26$ or $k = -\dfrac{22}{5}$

7 0

3 years ago

Determine if the expression -8c-9c^4d^2−8c−9c

Leto [7]

Answer:

$-8c-9c^4d^2-8c-9c$ is a polynomial of type binomial and has a degree 6.

Step-by-step explanation:

Given the polynomial expression

$-8c-9c^4d^2-8c-9c$

Group like terms

$=-9c^4d^2-8c-8c-9c$

Add similar elements: -8c-8c-9c=-25c

$=-9c^4d^2-25c$

Thus, the polynomial is in two variables and contains two, unlike terms. Therefore, it is a 'binomial' with two, unlike terms.

Each term has a degree equal to the sum of the exponents on the variables.

The degree of the polynomial is the greatest of those.

25c has a degree 1

$-9c^4d^2$ has a degree 6. (adding the exponents of two variables 'c' and 'd').

Thus,

$-8c-9c^4d^2-8c-9c$ is a polynomial of type binomial and has a degree 6.

4 0

3 years ago

Difference of squares. Pls help algebra factoring polynomials 10 points

jarptica [38.1K]

Answer:

4x(squared)-36

Step-by-step explanation:

=(2x+−6)(2x+6)

=(2x)(2x)+(2x)(6)+(−6)(2x)+(−6)(6)

=4x^2+12x−12x−36

=4x^2 −36

6 0

2 years ago

What Is the percent equal to 3/10

lianna [129]

30 %
3/10 * 10 = 30/100
30/100= 30%

6 0

3 years ago

Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i

Yuri [45]

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = $\$(\dfrac{300}x)$

Books left after giving 15 of them = x-15

Selling price of (x-15) books= $330

Selling price of one book = $\$(\dfrac{330}{x-15})$

Profit on each book= $1.50

Profit = selling price - cost price

$\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]$

$\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75$

Number of books cannot be negative.

So, there are 75 books.

Price of each book = $\dfrac{300}{75}=\$4$

So price of each book = $4.

5 0

3 years ago