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PilotLPTM [1.2K]
3 years ago
11

What happens when a line segment is dilated from a point on the line?

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

Step-by-step explanation:

Concept 3: The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1 (k > 1), the image will be larger than the pre-image, making the segments (sides) of the image longer than the corresponding sides of its pre-image (an enlargement).

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How Mach is one ton weight ?
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1 pound = 16 ounces
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4 years ago
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-6/7,-3/7,0,3/7 .... create a formula that explains the arithmetic sequence
LenKa [72]

The formula that explain the arithmetic sequence is a_{n}=\frac{3}{7}n-\frac{9}{7}

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the first term
  • d is the common difference between the consecutive terms

∵ \frac{-6}{7} , \frac{-3}{7} , 0 , \frac{3}{7} are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = \frac{-3}{7} - \frac{-6}{7}

∴ The difference between two consecutive terms = \frac{-3}{7} + \frac{6}{7} = \frac{3}{7}

∴ The common difference = \frac{3}{7}

∴ d = \frac{3}{7}

∵ The first term is \frac{-6}{7}

∴ a = \frac{-6}{7}

- Substitute a and d in the formula above

∴ a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}

- Simplify the right hand side

∴ a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}

- Add like terms

∴ a_{n}=\frac{3}{7}n-\frac{9}{7}

The formula that explain the arithmetic sequence is a_{n}=\frac{3}{7}n-\frac{9}{7}

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0
3 years ago
A box contains 10 red marbles,9 green marbles and 5 blue marbles. If a marble is selected at random, what is the probability tha
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Step-by-step explanation:

8 0
4 years ago
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JK ∥ NM. If JL = 32, LM = 20, and JK = 60, what is the length of NM
igor_vitrenko [27]

Answer:

NM= JL + LM + JK

NM= 32 + 20 + 60

NM= [112]

NM= 10,58

Step-by-step explanation:

Hope it helps!!

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2 years ago
You blow a bubble in the shape of a sphere. It has a radius of 5 inches. Which choice is closest to its surface area?
vesna_86 [32]
The choices are not given. 
In order to solve this, first get the surface area formula of a sphere.
Surface Area =  4 * pi * r^2
Given that the radius is 5 inches
Then

Surface Area = 4 * pi * 5^2
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Surface Area = 314.16 in^2
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4 years ago
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