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3 years ago

Write a rule to describe each transformation

Mathematics

1 answer:

Veronika [31]3 years ago

3 0

Answer:

k = 2

Step-by-step explanation:

the dilation k is the scale factor. A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. To find the scale factor k, we will compare the original points with their transformation

Point R is at (-1,2), and R' is at (-2,4).

divide the ys: 4/2 =2

divide the xs: -2/-1 =2

therefore the scale factor is 2

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Identify the error in the student solution shown below. Find the correct answer.

AlexFokin [52]

Answer:

Step-by-step explanation:

The answer is Since 0 in ln(3x) - 0 is not a logarithm, the property of logarithms cannot be used here.

The difference shown cannot be written as a quotient of logarithms.

The step ln(x2) = ln(3x) - (0) reduces to

ln(x2) = ln(3x).

The possible solutions are 0 and 3, with 0 being extraneous.

7 0

3 years ago

Please answer it please help me please answer it correctly if it’s correct I will mark you brainliest

mrs_skeptik [129]

Answer:

Step-by-step explanation:

To determine the tip, take the original amount and multiply by the tip percentage

500 * 16%

Change the percentage to a decimal

500 *.16

She tips 80

5 0

3 years ago

The Pick 4 games in many state lotteries announce a four‑digit winning number each day. Each of the 10,000 possible numbers 0000

barxatty [35]

Answer:

a) P(a)= 0.0001

b) P(b)= 0.0024

Step-by-step explanation:

Given:

Chosen number = 3079

Possible numbers that have chance of winning from 0000 to 9999= 10,000

Winning condition= if made choice matches the winning digits

Now

a)What is the probability that the winning number matches your number exactly?

From 0000 to 9999, only one time can the number 3079 can be the winning number, so

P(a)= 1/10000

= 0.0001

b)What is the probability that the winning number has the same digits as your number in any order?

Winning numbers from 0000 to 10000 that have same digits as 3079 are

4 x 3 x 2 x 1 = 24 ways

Following are the 24 numbers from 0000 to 9999 that have matching digits to 3079:

0379

0397

0973

0937

0793

0739

3079

3097

3970

3907

3790

3709

7039

7093

7930

7903

7390

7309

9073

9037

9370

9307

9730

9703

P(b)= 24/10000

=0.0024 !

8 0

4 years ago

Dahasolnce [82]

Answer:

Option A is correct.

Step-by-step explanation:

Given

The point (4, -8)

Slope m = 1/4

To determine

What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

substituting the values m = 1/4 and the point (4, -8)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-8\right)=\frac{1}{4}\left(x-4\right)$

$y+8=\frac{1}{4}\left(x-4\right)$

Subtract 8 from both sides

$y+8-8=\frac{1}{4}\left(x-4\right)-8$

$y=\frac{1}{4}x-1-8$

$y=\frac{1}{4}x-9$

Writing the equation in the standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

$y=\frac{1}{4}x-9$

$x=4y+36$

$x - 4y = 36$

Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

$x - 4y = 36$

Hence, option A is correct.

3 0

3 years ago

Natalie practices the flute 4 days per week. She practices 4/5 hour each day.

Fiesta28 [93]

Answer:

3.2 hrs

Step-by-step explanation:

4/5* 4 = 16/5=3.2

4 0

2 years ago

Read 2 more answers