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Dmitrij [34]
2 years ago
13

6+16k factored using the GCF

Mathematics
2 answers:
ICE Princess25 [194]2 years ago
8 0
2 is the GCF 3+8k

Hope this answer helps you
Vikki [24]2 years ago
3 0

Answer:

2(3 + 8k)

Step-by-step explanation:

GCF of 6 and 16 is 2.

6 + 16k = 2(3 + 8k)

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As you can see I keep getting questions wrong.... Can you answer the last question?
aivan3 [116]

Answer:

  y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

  • all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
  • y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

__

To solve the equation, you can write it in terms of powers of 3.

  (3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

  3^(-5y) = 3^(-15y)·3^(-4y)

  3^(-5y) = 3^(-19y)

  -5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

  14y = 0 . . . . . . . . . . add 19y

  y = 0 . . . . . . . . . . . one solution

______

The rules of exponents we used are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

4 0
3 years ago
Find the perimeter of the rectangle whose vertices are the points with coordinates (-1,-9), (4-9),(-1, -3), and (4, -3).
Airida [17]

Answer:

The perimeter is 22

Step-by-step explanation:

Using a graph would be the easiest way to solve this type of problem (just count the units from each point and add them all up). Perimeter= 2l+2w

If graph paper is not available then you may need to use your head a little bit and imagine a graph. You want to first find the length (or width because either can be it) by finding the two points with similar x or y values.

One of the lengths can be found by using (-1,-9) and (4,-9) because they have similar y values. Next you want to find the distance between the two values so that you can find the length. When two points are in different quadrants (use the image for reference) you would add the x values by their absolute values in meaning the distance the number is from 0 or that you change the negative numbers into positive numbers. Add 1 and 4 and you get 5. The length is 5 which you then multiply by 2 and get the length of both sides.

Because you have the two lengths the width where both of the x values are similar and find the distance between the points. You can use the two points (-1,-9) and (-1,-3). Use the absolute value of the two y values and subtract them because they are in the same quadrant (refer to the image if needed). Use the largest absolute value and subtract the lowest absolute value so that you get 9-3 which would give you 6. The width is 6 and you then multiply it by 2 so that you get 12. 12 is the width of both sides of the rectangle. Add all 4 sides together to get a perimeter of 22.

5 0
3 years ago
The lateral area of a cone is 558 ou cm ^2 . The radius is 31 cm. Find the slant height to the nearest
Kamila [148]

Answer:

83.8 cm

Step-by-step explanation:

3 0
2 years ago
Which fraction is equivalent to 5/20?<br><br> Plz hurry! I will give 20pts but don’t guess
JulsSmile [24]

Answer:

the first answer choice 4/16.

5 0
3 years ago
Need help with math again ​
goblinko [34]

Answer:

x=15

Step-by-step explanation:

x=√(12)²+(9)²

x=√144+81=√225

x=15units

3 0
3 years ago
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