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shtirl [24]
3 years ago
11

Simplify 8√27 (show work)

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0
I was taught that if you must simplify a square root by doing the birthday cake method. Basically divide the radical by its lowest common factor until it can't be divided anymore. Also the lowest factor can't be 1. For 27, the lower common factor is 3.

27/3 = 9/3 = 3

Since in a common square root the index is 2, you must pair the least common factors. There is 1 pair of 3 and there is 1 remaining

\sqrt{27} is 3\sqrt{3}.

You must multiply 3 and 8, which gives 24

The answer is 24\sqrt{3}
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Brian is 2 years older than Malachy. Caroline is 8 years younger than Malachy. If the total of their ages is 66, how old is the
SVETLANKA909090 [29]

Answer:

The eldest of them is Brian and he is 24 + 2 = 26 years old.

Step-by-step explanation:

Let

Malachy age = a

Brian age = a + 2

Caroline age = a - 8

Total of their age = a + (a + 2) + (a - 8)

66 = a + (a + 2) + (a - 8)

collect like terms

66 = a + a + 2 + a - 8

66 = a + a + a - 6

3a = 66 + 6

3a = 72

divide both sides by 3

a = 72/3

a = 24

Malachy age is 24 . Caroline is 24 - 8 = 16 years old.

The eldest of them is Brian and he is 24 + 2 = 26 years old.

7 0
3 years ago
The vertices of ΔABC are A(−3,4)​, B(−2,4)​, and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image Δ​A'B'C
Mumz [18]

The coordinates of vertex B' is P'(x,y) = (-2, -8).

<h3>How to calculate the coordinate of point by reflection</h3>

A point if reflected across the line y = -2 by means of the following formula:

P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)] (1)

Where:

  • P(x,y) - Original point
  • x_{P} - x-Coordinate of point P
  • P'(x,y) - Resulting point

If we know that P(x,y) = (-2,4) and x_{P} = -2, then the coordinates of the vertex is:

P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]

P'(x,y) = (-2, 4) +2\cdot (0, -6)

P'(x,y) = (-2, 4) + (0,-12)

P'(x,y) = (-2, -8)

The coordinates of vertex B' is P'(x,y) = (-2, -8). \blacksquare

To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272

3 0
3 years ago
A bag contains 20 counters. 8 of the counters are yellow. A counter is picked at random. What is the probability that it is yell
kogti [31]
So there are 8 counters out of 20 which are yellow. so that is 8/20 which is simplified to 2/5
so the answer is 2/5
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3 years ago
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Answer:

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Step-by-step explanation:

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