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3 years ago

PLZ HELP! WILL MAKE A BRAINLIST Which types of dilation are the given scale factors?

Mathematics

1 answer:

attashe74 [19]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

For a given scale factor k

If k > 1 then expansion

If k < - 1 then expansion in the opposite direction

If 0 < k < 1 or - 1 < k < 0 then contraction

k = - 2 ← expansion in opposite direction

k = 1.5 ← expansion

k = $\frac{1}{4}$ ← contraction

k = - $\frac{6}{7}$ ← contraction

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

Cual es el valor de x en x4 = -8

nalin [4]

Answer:56

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Ashley needs to buy some pencils. Brand A has 20 pencils for $6. Brand B has 40 pencils for $8.50. Based on the unit price, whic

Kruka [31]

Answer:

The answer to your question is Brand B

Step-by-step explanation:

Data

Brand A amount of 20 pencils cost $6

Brand B amount of 40 pencils cost $8.5

Process

1.- Calculate the unit price of each brand of pencils dividing the cost by the number of pencils

Brand A 6/20 = $0.3

Brand B 8.5/40 = $0.21

2.- Conclusion

Brand B is a better deal because you buy more pencils for a lower price.

3 0

3 years ago

You've purchased a lottery ticket and your numbers are 5-3-1. A lottery official randomly selects three balls from a set of eigh

Inessa05 [86]

Answer:

1 out of 336 chance

Step-by-step explanation:

Since you picked three numbers, you are going to put three blanks.

What to do in this situation is to have _ _ _. Since there are numbers 1-8, what you want to do is take the three biggest numbers and multiply them together. in this case, they would be 8-7-6. Multiply that and you get 336.

8 0

3 years ago

Cj took a math test and got 36 correct and 9 incorrect answers. What was percentage of correct answers?

Anastaziya [24]

Answer:

Step-by-step explanation:

Your answer would be 80% or a B

4 0

3 years ago