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Paha777 [63]
3 years ago
15

Given a dilation around the origin, what is the scale factor K?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

Answer:

The answer is "\frac{4}{3}"

Step-by-step explanation:

Given:

\bold{DoK = (12, 8) (9,6)}

In the scale factor when we take x coordinate then the value of k is:

\Rightarrow x= \frac{x_1}{x_2}\\\\\Rightarrow x= \frac{12}{9}\\\\\Rightarrow x= \frac{4}{3}\\

If we take y coordinate then the value of k is:

\Rightarrow y= \frac{y_1}{y_2}\\\\\Rightarrow y= \frac{8}{6}\\\\\Rightarrow y= \frac{4}{3}\\

So, the final value of k is "\frac{4}{3}" .

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What is the sum of ? <br><br>I will put a pic if the answer is correct ill mark brainlist
olga2289 [7]

\text{The sum of } 1\frac{7}{10}  \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}

<em><u>Solution:</u></em>

Given that we have to find the sum of 1\frac{7}{10} \text{ and } 3\frac{3}{5}

<em><u>Let us first convert the mixed fractions to improper fractions</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}

Now we can add both the fractions

1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}

Make the denominators same

1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}

Now convert the fraction to mixed number

When we divide 53 by 10 , the remainder is 3

Therefore, write 5 as a whole number and and 3 as numerator and 10 as denominator

\frac{53}{10} = 5\frac{3}{10}

Thus the sum of given mixed fraction is 5\frac{3}{10}

6 0
2 years ago
What is the slope intercept form of the equation
jenyasd209 [6]
I don’t remember lol
6 0
2 years ago
Read 2 more answers
A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackth
Anna11 [10]

Complete Question

A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places

Answer:

0.1151

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $45.20

μ is the population mean = $50

σ is the population standard deviation = $4

We are solving for x < 45.20

Hence:

z = 45.20 - 50/4

z = -1.2

Probability value from Z-Table:

P(x<45.20) = 0.11507

Approximately to 4 decimal places = 0.1151

Therefore, the proportion of wand prices that are lower than the price of the blackthorn wand is 0.1151

8 0
2 years ago
Can I get some help we just started this today?
soldier1979 [14.2K]

Answer:

Y=3x + 4

Step-by-step explanation:

Gradient = rise/run

=9/3

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Y-intercept is also 4

4 0
2 years ago
A concrete stepping stone neasures 20 square inches. what is the area of 30 such stones?
sattari [20]
If the area of one is 20, that the area of 30 is 20*30=600 square inches.
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2 years ago
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