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lesya692 [45]
3 years ago
12

Find the lcm of 7,18,21

Mathematics
1 answer:
Sholpan [36]3 years ago
6 0

Answer:

LCM (7, 18 and 21) = 126

Step-by-step explanation:

Step 1: Address input parameters & values

Intergers: 7 18 21

LCM (7, 18, 21) = ?

Step 2: Arrange the group of numbers in the horizontal form with space or comma separated format

7, 18 and 21

Step 3: Choose the divisor which divides each or most of the integers of in the group (7, 18 and 21), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if the integer is not divisible by the divisor. Repeat the same process until all the integers are brought to 1.

Step 4: Multiply the divisors to find the LCM 7, 18 and 21

7 × 3 × 6 = 21

LCM(7, 18, 21) = 126

The least common multiple for three numbers 7, 18, and 21 is 126

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Step-by-step explanation:

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Answer:

Counterclockwise rotation about the origin by 90° followed by reflection over the Y-axis ⇒ answer (D)

Step-by-step explanation:

* Lets revise the reflection and the rotation of a point

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∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

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∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clockwise

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise or  

anti-clockwise around the origin

- In our problem

# The vertices of the original figure are:

  P(1 , -3) , Q (3 , -2) , R (3 ,-3) , S (2 , -4)

# The vertices of the image are:

  P' (-3 , 1) , Q' (-2 , 3) , R' (-3 , 3) , S' (-4 , 2)

∵ x and y are switched

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∵ The signs of the x-coordinates and the y-coordinates

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∵ P (1 , -3) ⇒ after rotation 90° counter clockwise is (3 , 1)

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7 0
3 years ago
Given f(x) = 4(x - 8), determine the value of f(10).
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Answer:

f(10) = 8

Step-by-step explanation:

f(x) = 4(x - 8)

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f(10) = 4 ( 10-8)

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The population of a bacteria colony is growing exponentially, doubling every 6 hours. If there are 150 bacteria currently presen
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Answer:

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answer:

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Step-by-step explanation:

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f(t) = -9.9788169(t-0.76)^2 +57

4 0
2 years ago
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