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noname [10]
3 years ago
12

Write 45 as a product of prime factors.

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0
<span>First, we determine the factors of 45. We can immediately note that 45 is the product of 9 and 5. Out of 9 and 5, 9 can further be expressed into the product of 3 and 3. The prime factorization therefore is,
            45 = 3 x 3 x 5
 Since the factors in the right-hand side of the equation are already prime numbers then, this factorization can no longer be written in simpler forms.</span>
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Need help asap with these
IRISSAK [1]

Answer:

1. 6n - 15

2. x + 10

3. -4d + 15

4. true, associative property

5. distributive, commutative

Step-by-step explanation:

1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20

2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms

3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms

4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up

5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer

6 0
3 years ago
addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum
bulgar [2K]

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

The equation of a circle of <u>radius r and center</u> (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

  • The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.

In this problem, the circular path is modeled by:

x^2 + y^2 - 10x - 18y - 378 = 0

We complete the squares to place it in the standard format, thus:

x^2 - 10x + y^2 - 18y = 378

(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81

(x - 5)^2 + (y - 9)^2 = 484

Thus, the radius is:

r^2 = 484 \rightarrow r = \sqrt{484} = 22

Then, the diameter is:

d = 2r = 2(22) = 44

The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0
2 years ago
Rounding 123, 499 with 3 being underlined
777dan777 [17]
123,000.... I hope this answers your question
3 0
4 years ago
Read 2 more answers
Bethany paid $408.75 for a pair of diamond stud earrings. The sale price was $375. What is the Percent of Sales Tax she paid for
9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = x\% \times 375 = \frac{x}{100} \times 375 =3.75x

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

x=\frac{408.75-375}{3.75}

x=9

Hence She paid 9% of sales tax

5 0
3 years ago
-4-square root of -75 / 60
Leto [7]
<span>the correct answer is -4 - 0.144337567 i</span>
3 0
3 years ago
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